Items where Author is "Tang, Sanyi"
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A/H1N1influenza
Tang, Sanyi, Xiao, Yanni, Yuan, Lin, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2012) Campus quarantine (Fengxiao) for curbing emergent infectious diseases: Lessons from mitigating A/H1N1 in Xi'an, China. Journal of Theoretical Biology, 295. pp. 47-58. ISSN 0022-5193 (doi:https://doi.org/10.1016/j.jtbi.2011.10.035)
adaptive-decision model
Yan, Quinling, Cheke, Robert ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2022) Coupling an individual adaptive-decision model with a SIRV model of influenza vaccination reveals new insights for epidemic control. Statistics in Medicine, 42 (5). pp. 716-729. ISSN 0277-6715 (Print), 1097-0258 (Online) (doi:https://doi.org/10.1002/sim.9639)
Aedes
Wang, Xia, Tang, Sanyi, Wu, Jianhong, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) A combination of climatic conditions determines major within-season dengue outbreaks in Guangdong Province, China. Parasites & Vectors, 12 (45). ISSN 1756-3305 (doi:https://doi.org/10.1186/s13071-019-3295-0)
aedes albopictus
Cheng, Qu, Liu, Yan, Wang, Xia, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) The relative importance of key meteorological factors affecting numbers of mosquito vectors of dengue fever. PLoS Neglected Tropical Diseases, 17 (4):e0011247. pp. 1-21. ISSN 1935-2727 (Print), 1935-2735 (Online) (doi:https://doi.org/10.1371/journal.pntd.0011247)
age-structured model
Wu, YuanYuan, Zhou, Weike, Tang, Sanyi, Cheke, Robert ORCID: 0000-0002-7437-1934 and Wang, Xia (2023) Prediction of the next major outbreak of COVID-19 in Mainland China and a vaccination strategy for it. Royal Society Open Science, 10:230655. pp. 1-14. ISSN 2054-5703 (Online) (doi:https://doi.org/10.1098/rsos.230655)
air pollution
He, Sha, Tang, Sanyi, Zhang, Qimin, Rong, Libin and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) Modelling optimal control of air pollution to reduce respiratory diseases. Applied Mathematics and Computation, 458:128223. ISSN 0096-3003 (Print), 1873-5649 (Online) (doi:https://doi.org/10.1016/j.amc.2023.128223)
Air pollution · Stochastic differential equation · Change point · Respiratory infection · Intervention measures
He, Sha, Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2018) Stochastic modelling of air pollution impacts on respiratory infection risk. Bulletin of Mathematical Biology, 80 (12). pp. 3127-3153. ISSN 0092-8240 (Print), 1522-9602 (Online) (doi:https://doi.org/10.1007/s11538-018-0512-5)
Apolygus lucorum
Tang, Sanyi, Liang, Juhua, Xiang, Changcheng, Xiao, Yanni, Wang, Xia, Wu, Jianhong, Li, Guoping and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) A general model of hormesis in biological systems and its application to pest management. Journal of the Royal Society - Interface, 16 (157):20190468. pp. 1-11. ISSN 1742-5689 (Print), 1742-5662 (Online) (doi:https://doi.org/10.1098/rsif.2019.0468)
armyworm
Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Tang, Sanyi and Tratalos, Jamie A. (2014) Predator–prey population models of migrant insects with phase change. ICES Journal of Marine Science, 71 (8). pp. 2221-2230. ISSN 1054-3139 (Print), 1095-9289 (Online) (doi:https://doi.org/10.1093/icesjms/fst150)
attractor
Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Tang, Sanyi and Tratalos, Jamie A. (2014) Predator–prey population models of migrant insects with phase change. ICES Journal of Marine Science, 71 (8). pp. 2221-2230. ISSN 1054-3139 (Print), 1095-9289 (Online) (doi:https://doi.org/10.1093/icesjms/fst150)
augmentation
Tang, Sanyi, Tang, Guangyao and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2010) Optimum timing for integrated pest management: Modelling rates of pesticide application and natural enemy releases. Journal of Theoretical Biology, 264 (2). pp. 623-638. ISSN 0022-5193 (doi:https://doi.org/10.1016/j.jtbi.2010.02.034)
Augmentation order
Zhang, X, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2015) Models to assess how best to replace dengue virus vectors with Wolbachia-infected mosquito populations. Mathematical Biosciences, 269. pp. 164-177. ISSN 0025-5564 (Print), 1879-3134 (Online) (doi:https://doi.org/10.1016/j.mbs.2015.09.004)
Augmentation quantity
Zhang, X, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2015) Models to assess how best to replace dengue virus vectors with Wolbachia-infected mosquito populations. Mathematical Biosciences, 269. pp. 164-177. ISSN 0025-5564 (Print), 1879-3134 (Online) (doi:https://doi.org/10.1016/j.mbs.2015.09.004)
Augmentation times
Zhang, X, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2015) Models to assess how best to replace dengue virus vectors with Wolbachia-infected mosquito populations. Mathematical Biosciences, 269. pp. 164-177. ISSN 0025-5564 (Print), 1879-3134 (Online) (doi:https://doi.org/10.1016/j.mbs.2015.09.004)
Backward bifurcation
Cheng, Tianyu, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Threshold dynamics and bifurcation of a state-dependent feedback nonlinear control SIR model. Journal of Computational and Nonlinear Dynamics, 14 (7). ISSN 1555-1415 (Print), 1555-1423 (Online) (doi:https://doi.org/10.1115/1.4043001)
Zhang, Xianghong, Tang, Sanyi, Liu, Qiyong, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Zhu, Huaiping (2018) Models to assess the effects of non-identical sex ratio augmentations of Wolbachia-carrying mosquitoes on the control of dengue disease. Mathematical Biosciences, 299. pp. 58-72. ISSN 0025-5564 (doi:https://doi.org/10.1016/j.mbs.2018.03.003)
Zhang, X, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2015) Models to assess how best to replace dengue virus vectors with Wolbachia-infected mosquito populations. Mathematical Biosciences, 269. pp. 164-177. ISSN 0025-5564 (Print), 1879-3134 (Online) (doi:https://doi.org/10.1016/j.mbs.2015.09.004)
Beverton-Holt equations
Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Xiao, Yanni (2006) Optimal impulsive harvesting on non-autonomous Beverton-Holt difference equations. Nonlinear Analysis: Theory, Methods & Applications, 65 (12). pp. 2311-2341. ISSN 0362-546X (doi:https://doi.org/10.1016/j.na.2006.02.049)
Beverton–Holt model
Wang, Xia, Xu, Zihui, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2017) Cumulative effects of incorrect use of pesticides can lead to catastrophic outbreaks of pests. Chaos, Solitons & Fractals, 100. pp. 7-19. ISSN 0960-0779 (doi:https://doi.org/10.1016/j.chaos.2017.04.030)
Bi-threshold value
Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2010) Dynamical analysis of plant disease models with cultural control strategies and economic thresholds. Mathematics and Computers in Simulation, 80 (5). pp. 894-921. ISSN 0378-4754 (doi:https://doi.org/10.1016/j.matcom.2009.10.004)
bifurcation
Yan, Dingding, He, Mengqi, Cheke, Robert ORCID: 0000-0002-7437-1934 , Zhang, Qianqian and Tang, Sanyi (2024) A stochastic hormesis Ricker model and its application to multiple fields. Chaos, Solitons and Fractals, 185:115131. pp. 1-13. ISSN 0960-0779 (Print), 1873-2887 (Online) (doi:https://doi.org/10.1016/j.chaos.2024.115131)
Li, Changtong, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2020) Complex dynamics and coexistence of period-doubling and period-halving bifurcations in an integrated pest management model with nonlinear impulsive control. Advances in Difference Equations:514. pp. 1-23. ISSN 1687-1839 (Print), 1687-1847 (Online) (doi:https://doi.org/10.1186/s13662-020-02971-9)
Zhang, Xianghong, Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Zhu, Huaiping (2016) Modeling the effects of augmentation strategies on the control of Dengue fever with an impulsive differential equation. Bulletin of Mathematical Biology, 78 (10). pp. 1968-2010. ISSN 0092-8240 (Print), 1522-9602 (Online) (doi:https://doi.org/10.1007/s11538-016-0208-7)
Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Tang, Sanyi and Tratalos, Jamie A. (2014) Predator–prey population models of migrant insects with phase change. ICES Journal of Marine Science, 71 (8). pp. 2221-2230. ISSN 1054-3139 (Print), 1095-9289 (Online) (doi:https://doi.org/10.1093/icesjms/fst150)
biological control
Liang, Juhua, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2018) A discrete host-parasitoid model with development of pesticide resistance and IPM strategies. Journal of Biological Dynamics, 12 (1). pp. 1059-1078. ISSN 1751-3758 (Print), 1751-3766 (Online) (doi:https://doi.org/10.1080/17513758.2018.1556351)
Liang, Juhua, Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2014) Models for determining how many natural enemies to release inoculatively in combinations of biological and chemical control with pesticide resistance. Journal of Mathematical Analysis and Applications, 422 (2). pp. 1479-1503. ISSN 0022-247X (doi:https://doi.org/10.1016/j.jmaa.2014.09.048)
Liang, Juhua, Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2013) Adaptive release of natural enemies in a pest-natural enemy system with pesticide resistance. Bulletin of Mathematical Biology, 75 (11). pp. 2167-2195. ISSN 0092-8240 (Print), 1522-9602 (Online) (doi:https://doi.org/10.1007/s11538-013-9886-6)
Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Xiao, Yanni (2009) Effects of predator and prey dispersal on success or failure of biological control. Bulletin of Mathematical Biology, 71 (8). pp. 2025-2047. ISSN 0092-8240 (Print), 1522-9602 (Online) (doi:https://doi.org/10.1007/s11538-009-9438-2)
birth-pulse
Zhang, Xianghong, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2015) Birth-pulse models of Wolbachia-induced cytoplasmic incompatibility in mosquitoes for dengue virus control. Nonlinear Analysis: Real World Applications, 22. pp. 236-258. ISSN 1468-1218 (doi:https://doi.org/10.1016/j.nonrwa.2014.09.004)
Bistability
Xiang, Changcheng, Tang, Sanyi, Cheke, Robert ORCID: 0000-0002-7437-1934 and Qin, Wenjie (2016) A locust phase change model with multiple switching states and random perturbation. International Journal of Bifurcation and Chaos (ijbc), 26 (13):1630037. pp. 1-17. ISSN 0218-1274 (Print), 1793-6551 (Online) (doi:https://doi.org/10.1142/S0218127416300378)
blood glucose level
Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2015) Modelling the regulatory system for diabetes mellitus with a threshold window. Communications in Nonlinear Science and Numerical Simulation, 22 (1-3). pp. 478-491. ISSN 1007-5704 (doi:https://doi.org/10.1016/j.cnsns.2014.08.012)
blurred orbit
Yan, Dingding, He, Mengqi, Cheke, Robert ORCID: 0000-0002-7437-1934 , Zhang, Qianqian and Tang, Sanyi (2024) A stochastic hormesis Ricker model and its application to multiple fields. Chaos, Solitons and Fractals, 185:115131. pp. 1-13. ISSN 0960-0779 (Print), 1873-2887 (Online) (doi:https://doi.org/10.1016/j.chaos.2024.115131)
Breteau index
Wang, Xia, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2016) A stage structured mosquito model incorporating effects of precipitation and daily temperature fluctuations. Journal of Theoretical Biology, 411. pp. 27-36. ISSN 0022-5193 (doi:https://doi.org/10.1016/j.jtbi.2016.09.015)
Canard cycle
Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2013) Global stability and sliding bifurcations of a non-smooth Gause predator–prey system. Applied Mathematics and Computation, 224. pp. 9-20. ISSN 0096-3003 (doi:https://doi.org/10.1016/j.amc.2013.08.024)
cancer
Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2015) Modelling pulsed immunotherapy of tumour–immune interaction. Mathematics and Computers in Simulation, 109. pp. 92-112. ISSN 0378-4754 (doi:https://doi.org/10.1016/j.matcom.2014.09.001)
Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2014) Modelling pulsed immunotherapy of tumour-immune interaction. Mathematics and Computers in Simulation, 109. pp. 92-112. ISSN 0378-4754 (doi:https://doi.org/10.1016/j.matcom.2014.09.001)
change point
He, Sha, Yan, Dingding, Shu, Hongying, Tang, Sanyi, Wang, Xia and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) Randomness accelerates the dynamic clearing process of the COVID-19 outbreaks in China. Mathematical Biosciences, 363:109055. ISSN 0025-5564 (Print), 1879-3134 (Online) (doi:https://doi.org/10.1016/j.mbs.2023.109055)
Chaos
Li, Changtong, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2020) Complex dynamics and coexistence of period-doubling and period-halving bifurcations in an integrated pest management model with nonlinear impulsive control. Advances in Difference Equations:514. pp. 1-23. ISSN 1687-1839 (Print), 1687-1847 (Online) (doi:https://doi.org/10.1186/s13662-020-02971-9)
Yuan, Baoyin, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2015) Duality in phase space and complex dynamics of an integrated pest management network model. International Journal of Bifurcation and Chaos (ijbc), 25 (8):1550103. pp. 1-17. ISSN 0218-1274 (Print), 1793-6551 (Online) (doi:https://doi.org/10.1142/S0218127415501035)
China
Tang, Sanyi, Wang, Xia, Tang, Biao, He, Sha, Huang, Chenxi, Shao, Yiming, Xiao, Yanni and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) Threshold conditions for curbing COVID‑19 with a dynamic zero‑case policy derived from 101 outbreaks in China. BMC Public Health, 23:1084. pp. 1-12. ISSN 1471-2458 (doi:https://doi.org/10.1186/s12889-023-16009-8)
Cheng, Qu, Liu, Yan, Wang, Xia, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) The relative importance of key meteorological factors affecting numbers of mosquito vectors of dengue fever. PLoS Neglected Tropical Diseases, 17 (4):e0011247. pp. 1-21. ISSN 1935-2727 (Print), 1935-2735 (Online) (doi:https://doi.org/10.1371/journal.pntd.0011247)
city-based pattern
Wang, Hao, Li, Tangjuan, Gao, Huan, Huang, Chenxi, Tang, Biao, Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Zhou, Weike (2023) Lessons drawn from Shanghai for controlling highly transmissible SARS‑CoV‑2 variants: insights from a modelling study. BMC Infectious Diseases, 23:331. ISSN 1471-2334 (Online) (doi:https://doi.org/10.1186/s12879-023-08316-7)
Climate factors
Wang, Xia, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2016) A stage structured mosquito model incorporating effects of precipitation and daily temperature fluctuations. Journal of Theoretical Biology, 411. pp. 27-36. ISSN 0022-5193 (doi:https://doi.org/10.1016/j.jtbi.2016.09.015)
Cluster oscillation
Yuan, Baoyin, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2015) Duality in phase space and complex dynamics of an integrated pest management network model. International Journal of Bifurcation and Chaos (ijbc), 25 (8):1550103. pp. 1-17. ISSN 0218-1274 (Print), 1793-6551 (Online) (doi:https://doi.org/10.1142/S0218127415501035)
coexistence
Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2008) Multiple attractors of host-parasitoid models with integrated pest management strategies: eradication, persistence and outbreak. Theoretical Population Biology, 73 (2). pp. 181-197. ISSN 0040-5809 (doi:https://doi.org/10.1016/j.tpb.2007.12.001)
combined therapy
Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2015) Modelling pulsed immunotherapy of tumour–immune interaction. Mathematics and Computers in Simulation, 109. pp. 92-112. ISSN 0378-4754 (doi:https://doi.org/10.1016/j.matcom.2014.09.001)
Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2014) Modelling pulsed immunotherapy of tumour-immune interaction. Mathematics and Computers in Simulation, 109. pp. 92-112. ISSN 0378-4754 (doi:https://doi.org/10.1016/j.matcom.2014.09.001)
complex dynamics
Tang, Sanyi, Liang, Juhua, Xiang, Changcheng, Xiao, Yanni, Wang, Xia, Wu, Jianhong, Li, Guoping and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) A general model of hormesis in biological systems and its application to pest management. Journal of the Royal Society - Interface, 16 (157):20190468. pp. 1-11. ISSN 1742-5689 (Print), 1742-5662 (Online) (doi:https://doi.org/10.1098/rsif.2019.0468)
Qin, Wenjie, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2014) The effects of resource limitation on a predator-prey model with control measures as nonlinear pulses. Mathematical Problems in Engineering, 2014:450935. ISSN 1024-123X (Print), 1563-5147 (Online) (doi:https://doi.org/10.1155/2014/450935)
Control reproduction number
Cheng, Tianyu, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Threshold dynamics and bifurcation of a state-dependent feedback nonlinear control SIR model. Journal of Computational and Nonlinear Dynamics, 14 (7). ISSN 1555-1415 (Print), 1555-1423 (Online) (doi:https://doi.org/10.1115/1.4043001)
convergence cross mapping
Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Young, Stephen, Wang, Xia, Tratalos, Jamie A., Tang, Sanyi and Cressman, Keith (2020) Evidence for a causal relationship between the solar cycle and locust abundance. Agronomy, 11 (1):69. pp. 1-22. ISSN 2073-4395 (Online) (doi:https://doi.org/10.3390/agronomy11010069)
COVID-19
Tang, Biao, Ma, Kexin, Liu, Yan, Wang, Xia, Tang, Sanyi, Xiao, Yanni and Cheke, Robert ORCID: 0000-0002-7437-1934 (2024) Managing spatio-temporal heterogeneity of susceptibles by embedding it into an homogeneous model: a mechanistic and deep learning study. PLoS Computational Biology, 20 (9):e1012497. ISSN 1553-734X (doi:https://doi.org/10.1371/journal.pcbi.1012497)
Wu, YuanYuan, Zhou, Weike, Tang, Sanyi, Cheke, Robert ORCID: 0000-0002-7437-1934 and Wang, Xia (2023) Prediction of the next major outbreak of COVID-19 in Mainland China and a vaccination strategy for it. Royal Society Open Science, 10:230655. pp. 1-14. ISSN 2054-5703 (Online) (doi:https://doi.org/10.1098/rsos.230655)
Tang, Sanyi, Wang, Xia, Tang, Biao, He, Sha, Huang, Chenxi, Shao, Yiming, Xiao, Yanni and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) Threshold conditions for curbing COVID‑19 with a dynamic zero‑case policy derived from 101 outbreaks in China. BMC Public Health, 23:1084. pp. 1-12. ISSN 1471-2458 (doi:https://doi.org/10.1186/s12889-023-16009-8)
Wang, Hao, Li, Tangjuan, Gao, Huan, Huang, Chenxi, Tang, Biao, Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Zhou, Weike (2023) Lessons drawn from Shanghai for controlling highly transmissible SARS‑CoV‑2 variants: insights from a modelling study. BMC Infectious Diseases, 23:331. ISSN 1471-2334 (Online) (doi:https://doi.org/10.1186/s12879-023-08316-7)
Wang, Xia, Li, Qian, He, Sha, Fan, Xia, Song, Pengfei, Shao, Yiming, Wu, Jianhong, Cheke, Robert ORCID: 0000-0002-7437-1934 , Tang, Sanyi and Xiao, Yanni (2021) Effects of medical resource capacities and intensities of public mitigation measures on outcomes of COVID-19 outbreaks. BMC Public Health, 21:605. pp. 1-11. ISSN 1471-2458 (Online) (doi:https://doi.org/10.1186/s12889-021-10657-4)
Yang, Jie, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2021) Impacts of varying strengths of intervention measures on secondary outbreaks of COVID-19 in two different regions. Nonlinear Dynamics, 104 (1). pp. 863-882. ISSN 0924-090X (Print), 1573-269X (Online) (doi:https://doi.org/10.1007/s11071-021-06294-6)
Xiao, Yanni, Tang, Biao, Wu, Jianhong, Cheke, Robert ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2020) Linking key intervention timings to rapid decline of the COVID-19 effective reproductive number to quantify lessons from mainland China. International Journal of Infectious Diseases, 97. pp. 296-298. ISSN 1201-9712 (Print), 1878-3511 (Online) (doi:https://doi.org/10.1016/j.ijid.2020.06.030)
Xiao, Yanni, Tang, Biao, Wu, Jianhong, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2020) Linking key intervention timing to rapid decline of the COVID-19 effective reproductive number to quantify lessons from mainland China. International Journal of Infectious Diseases, 97. pp. 296-298. ISSN 1201-9712 (Print), 1878-3511 (Online) (doi:https://doi.org/10.1016/j.ijid.2020.06.030)
COVID-19 outbreak
Zhou, Weike, Wang, Aili, Wang, Xia, Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Xiao, Yanni and Tang, Sanyi (2020) Impact of hospital bed shortages on the containment of COVID-19 in Wuhan. International Journal of Environmental Research and Public Health, 17 (22):8560. ISSN 1661-7827 (Print), 1660-4601 (Online) (doi:https://doi.org/10.3390/ijerph17228560)
critical coverage rate
Yan, Quinling, Cheke, Robert ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2022) Coupling an individual adaptive-decision model with a SIRV model of influenza vaccination reveals new insights for epidemic control. Statistics in Medicine, 42 (5). pp. 716-729. ISSN 0277-6715 (Print), 1097-0258 (Online) (doi:https://doi.org/10.1002/sim.9639)
Critical glucose threshold
Yang, Jin, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2016) The regulatory system for diabetes mellitus: Modeling rates of glucose infusions and insulin injections. Communications in Nonlinear Science and Numerical Simulation, 37. pp. 305-325. ISSN 1007-5704 (Print), 1878-7274 (Online) (doi:https://doi.org/10.1016/j.cnsns.2016.02.001)
cultural control
Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2010) Dynamical analysis of plant disease models with cultural control strategies and economic thresholds. Mathematics and Computers in Simulation, 80 (5). pp. 894-921. ISSN 0378-4754 (doi:https://doi.org/10.1016/j.matcom.2009.10.004)
Cumulative effect
Wang, Xia, Xu, Zihui, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2017) Cumulative effects of incorrect use of pesticides can lead to catastrophic outbreaks of pests. Chaos, Solitons & Fractals, 100. pp. 7-19. ISSN 0960-0779 (doi:https://doi.org/10.1016/j.chaos.2017.04.030)
cumulative number of deaths
Liang, Juhua, Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2013) Adaptive release of natural enemies in a pest-natural enemy system with pesticide resistance. Bulletin of Mathematical Biology, 75 (11). pp. 2167-2195. ISSN 0092-8240 (Print), 1522-9602 (Online) (doi:https://doi.org/10.1007/s11538-013-9886-6)
curve fitting
Yang, Linqian, Wang, Jiaying, Cheke, Robert ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2021) A universal delayed difference model fitting dose-response curves. Dose-Response, 9 (4). pp. 1-18. ISSN 1559-3258 (Online) (doi:https://doi.org/10.1177/15593258211062785)
cytoplasmic incompatibility
Zhang, Xianghong, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2015) Birth-pulse models of Wolbachia-induced cytoplasmic incompatibility in mosquitoes for dengue virus control. Nonlinear Analysis: Real World Applications, 22. pp. 236-258. ISSN 1468-1218 (doi:https://doi.org/10.1016/j.nonrwa.2014.09.004)
data analysis
Yang, Linqian, Wang, Jiaying, Cheke, Robert ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2021) A universal delayed difference model fitting dose-response curves. Dose-Response, 9 (4). pp. 1-18. ISSN 1559-3258 (Online) (doi:https://doi.org/10.1177/15593258211062785)
data fitting
He, Sha, Yan, Dingding, Shu, Hongying, Tang, Sanyi, Wang, Xia and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) Randomness accelerates the dynamic clearing process of the COVID-19 outbreaks in China. Mathematical Biosciences, 363:109055. ISSN 0025-5564 (Print), 1879-3134 (Online) (doi:https://doi.org/10.1016/j.mbs.2023.109055)
data validation
He, Sha, Tang, Sanyi, Zhang, Qimin, Rong, Libin and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) Modelling optimal control of air pollution to reduce respiratory diseases. Applied Mathematics and Computation, 458:128223. ISSN 0096-3003 (Print), 1873-5649 (Online) (doi:https://doi.org/10.1016/j.amc.2023.128223)
delayed response to pesticide application
Liang, Juhua, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2012) An integrated pest management model with delayed responses to pesticide applications and its threshold dynamics. Nonlinear Analysis: Real World Applications, 13 (5). pp. 2352-2374. ISSN 1468-1218 (doi:https://doi.org/10.1016/j.nonrwa.2012.02.003)
dengue
Cheng, Qu, Liu, Yan, Wang, Xia, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) The relative importance of key meteorological factors affecting numbers of mosquito vectors of dengue fever. PLoS Neglected Tropical Diseases, 17 (4):e0011247. pp. 1-21. ISSN 1935-2727 (Print), 1935-2735 (Online) (doi:https://doi.org/10.1371/journal.pntd.0011247)
Wang, Xia, Tang, Sanyi, Wu, Jianhong, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) A combination of climatic conditions determines major within-season dengue outbreaks in Guangdong Province, China. Parasites & Vectors, 12 (45). ISSN 1756-3305 (doi:https://doi.org/10.1186/s13071-019-3295-0)
Dengue disease
Zhang, Xianghong, Tang, Sanyi, Liu, Qiyong, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Zhu, Huaiping (2018) Models to assess the effects of non-identical sex ratio augmentations of Wolbachia-carrying mosquitoes on the control of dengue disease. Mathematical Biosciences, 299. pp. 58-72. ISSN 0025-5564 (doi:https://doi.org/10.1016/j.mbs.2018.03.003)
Dengue fever
Zhang, Xianghong, Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Zhu, Huaiping (2016) Modeling the effects of augmentation strategies on the control of Dengue fever with an impulsive differential equation. Bulletin of Mathematical Biology, 78 (10). pp. 1968-2010. ISSN 0092-8240 (Print), 1522-9602 (Online) (doi:https://doi.org/10.1007/s11538-016-0208-7)
Zhang, Xianghong, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2015) Birth-pulse models of Wolbachia-induced cytoplasmic incompatibility in mosquitoes for dengue virus control. Nonlinear Analysis: Real World Applications, 22. pp. 236-258. ISSN 1468-1218 (doi:https://doi.org/10.1016/j.nonrwa.2014.09.004)
Desert Locust Schistocerca gregaria (Forskål 1775)
Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Young, Stephen, Wang, Xia, Tratalos, Jamie A., Tang, Sanyi and Cressman, Keith (2020) Evidence for a causal relationship between the solar cycle and locust abundance. Agronomy, 11 (1):69. pp. 1-22. ISSN 2073-4395 (Online) (doi:https://doi.org/10.3390/agronomy11010069)
Diabetes
Yang, Jin, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2016) The regulatory system for diabetes mellitus: Modeling rates of glucose infusions and insulin injections. Communications in Nonlinear Science and Numerical Simulation, 37. pp. 305-325. ISSN 1007-5704 (Print), 1878-7274 (Online) (doi:https://doi.org/10.1016/j.cnsns.2016.02.001)
discrete Euler-Lagrange equation
Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Xiao, Yanni (2006) Optimal impulsive harvesting on non-autonomous Beverton-Holt difference equations. Nonlinear Analysis: Theory, Methods & Applications, 65 (12). pp. 2311-2341. ISSN 0362-546X (doi:https://doi.org/10.1016/j.na.2006.02.049)
Discrete model
Liang, Juhua, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2016) Beverton-Holt discrete pest management models with pulsed chemical control and evolution of pesticide resistance. Communications in Nonlinear Science and Numerical Simulation, 36. pp. 327-341. ISSN 1007-5704 (Print), 1878-7274 (Online) (doi:https://doi.org/10.1016/j.cnsns.2015.12.014)
Discrete switching system
Xiang, Changcheng, Tang, Sanyi, Cheke, Robert ORCID: 0000-0002-7437-1934 and Qin, Wenjie (2016) A locust phase change model with multiple switching states and random perturbation. International Journal of Bifurcation and Chaos (ijbc), 26 (13):1630037. pp. 1-17. ISSN 0218-1274 (Print), 1793-6551 (Online) (doi:https://doi.org/10.1142/S0218127416300378)
Disease free periodic solution
Cheng, Tianyu, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Threshold dynamics and bifurcation of a state-dependent feedback nonlinear control SIR model. Journal of Computational and Nonlinear Dynamics, 14 (7). ISSN 1555-1415 (Print), 1555-1423 (Online) (doi:https://doi.org/10.1115/1.4043001)
Dispersal
Yuan, Baoyin, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2015) Duality in phase space and complex dynamics of an integrated pest management network model. International Journal of Bifurcation and Chaos (ijbc), 25 (8):1550103. pp. 1-17. ISSN 0218-1274 (Print), 1793-6551 (Online) (doi:https://doi.org/10.1142/S0218127415501035)
Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Xiao, Yanni (2009) Effects of predator and prey dispersal on success or failure of biological control. Bulletin of Mathematical Biology, 71 (8). pp. 2025-2047. ISSN 0092-8240 (Print), 1522-9602 (Online) (doi:https://doi.org/10.1007/s11538-009-9438-2)
district-based pattern
Wang, Hao, Li, Tangjuan, Gao, Huan, Huang, Chenxi, Tang, Biao, Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Zhou, Weike (2023) Lessons drawn from Shanghai for controlling highly transmissible SARS‑CoV‑2 variants: insights from a modelling study. BMC Infectious Diseases, 23:331. ISSN 1471-2334 (Online) (doi:https://doi.org/10.1186/s12879-023-08316-7)
dose-response curves
Yang, Linqian, Wang, Jiaying, Cheke, Robert ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2021) A universal delayed difference model fitting dose-response curves. Dose-Response, 9 (4). pp. 1-18. ISSN 1559-3258 (Online) (doi:https://doi.org/10.1177/15593258211062785)
Duality
Yuan, Baoyin, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2015) Duality in phase space and complex dynamics of an integrated pest management network model. International Journal of Bifurcation and Chaos (ijbc), 25 (8):1550103. pp. 1-17. ISSN 0218-1274 (Print), 1793-6551 (Online) (doi:https://doi.org/10.1142/S0218127415501035)
duration
Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2015) Modelling the regulatory system for diabetes mellitus with a threshold window. Communications in Nonlinear Science and Numerical Simulation, 22 (1-3). pp. 478-491. ISSN 1007-5704 (doi:https://doi.org/10.1016/j.cnsns.2014.08.012)
Dynamic complexity
Liang, Juhua, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2016) Beverton-Holt discrete pest management models with pulsed chemical control and evolution of pesticide resistance. Communications in Nonlinear Science and Numerical Simulation, 36. pp. 327-341. ISSN 1007-5704 (Print), 1878-7274 (Online) (doi:https://doi.org/10.1016/j.cnsns.2015.12.014)
dynamic delayed Ricker difference model (DRDM)
Yang, Linqian, Wang, Jiaying, Cheke, Robert ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2021) A universal delayed difference model fitting dose-response curves. Dose-Response, 9 (4). pp. 1-18. ISSN 1559-3258 (Online) (doi:https://doi.org/10.1177/15593258211062785)
dynamic threshold
Liang, Juhua, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2018) A discrete host-parasitoid model with development of pesticide resistance and IPM strategies. Journal of Biological Dynamics, 12 (1). pp. 1059-1078. ISSN 1751-3758 (Print), 1751-3766 (Online) (doi:https://doi.org/10.1080/17513758.2018.1556351)
Liang, Juhua, Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2014) Models for determining how many natural enemies to release inoculatively in combinations of biological and chemical control with pesticide resistance. Journal of Mathematical Analysis and Applications, 422 (2). pp. 1479-1503. ISSN 0022-247X (doi:https://doi.org/10.1016/j.jmaa.2014.09.048)
Liang, Juhua, Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2013) Adaptive release of natural enemies in a pest-natural enemy system with pesticide resistance. Bulletin of Mathematical Biology, 75 (11). pp. 2167-2195. ISSN 0092-8240 (Print), 1522-9602 (Online) (doi:https://doi.org/10.1007/s11538-013-9886-6)
Liang, Juhua, Tang, Sanyi, Nieto, Juan J. and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2013) Analytical methods for detecting pesticide switches with evolution of pesticide resistance. Mathematical Biosciences, 245 (2). pp. 249-257. ISSN 0025-5564 (Print), 1879-3134 (Online) (doi:https://doi.org/10.1016/j.mbs.2013.07.008)
Ecological paradox
Tang, Sanyi, Liang, Juhua, Xiang, Changcheng, Xiao, Yanni, Wang, Xia, Wu, Jianhong, Li, Guoping and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) A general model of hormesis in biological systems and its application to pest management. Journal of the Royal Society - Interface, 16 (157):20190468. pp. 1-11. ISSN 1742-5689 (Print), 1742-5662 (Online) (doi:https://doi.org/10.1098/rsif.2019.0468)
economic threshold
He, Mengqi, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2020) A holling type II discrete switching host-parasitoid system with a nonlinear threshold policy for integrated pest management. Discrete Dynamics in Nature and Society, 2020:9425285. ISSN 1026-0226 (Print), 1607-887X (Online) (doi:https://doi.org/10.1155/2020/9425285)
Liang, Juhua, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2012) An integrated pest management model with delayed responses to pesticide applications and its threshold dynamics. Nonlinear Analysis: Real World Applications, 13 (5). pp. 2352-2374. ISSN 1468-1218 (doi:https://doi.org/10.1016/j.nonrwa.2012.02.003)
Tang, Sanyi, Liang, Juhua, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2012) Sliding bifurcations of Filippov two stage pest control models with economic thresholds. SIAM Journal on Applied Mathematics, 72 (4). pp. 1061-1080. ISSN 0036-1399 (Print), 1095-712X (Online) (doi:https://doi.org/10.1137/110847020)
Tang, Sanyi, Tang, Guangyao and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2010) Optimum timing for integrated pest management: Modelling rates of pesticide application and natural enemy releases. Journal of Theoretical Biology, 264 (2). pp. 623-638. ISSN 0022-5193 (doi:https://doi.org/10.1016/j.jtbi.2010.02.034)
Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2010) Dynamical analysis of plant disease models with cultural control strategies and economic thresholds. Mathematics and Computers in Simulation, 80 (5). pp. 894-921. ISSN 0378-4754 (doi:https://doi.org/10.1016/j.matcom.2009.10.004)
Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2008) Models for integrated pest control and their biological implications. Mathematical Biosciences, 215 (1). pp. 115-125. ISSN 0025-5564 (doi:https://doi.org/10.1016/j.mbs.2008.06.008)
Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2008) Multiple attractors of host-parasitoid models with integrated pest management strategies: eradication, persistence and outbreak. Theoretical Population Biology, 73 (2). pp. 181-197. ISSN 0040-5809 (doi:https://doi.org/10.1016/j.tpb.2007.12.001)
effective reproduction number
Yang, Jie, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2021) Impacts of varying strengths of intervention measures on secondary outbreaks of COVID-19 in two different regions. Nonlinear Dynamics, 104 (1). pp. 863-882. ISSN 0924-090X (Print), 1573-269X (Online) (doi:https://doi.org/10.1007/s11071-021-06294-6)
Zhou, Weike, Wang, Aili, Wang, Xia, Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Xiao, Yanni and Tang, Sanyi (2020) Impact of hospital bed shortages on the containment of COVID-19 in Wuhan. International Journal of Environmental Research and Public Health, 17 (22):8560. ISSN 1661-7827 (Print), 1660-4601 (Online) (doi:https://doi.org/10.3390/ijerph17228560)
Wang, Xia, Tang, Sanyi, Wu, Jianhong, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) A combination of climatic conditions determines major within-season dengue outbreaks in Guangdong Province, China. Parasites & Vectors, 12 (45). ISSN 1756-3305 (doi:https://doi.org/10.1186/s13071-019-3295-0)
effective reproductive number
Xiao, Yanni, Tang, Biao, Wu, Jianhong, Cheke, Robert ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2020) Linking key intervention timings to rapid decline of the COVID-19 effective reproductive number to quantify lessons from mainland China. International Journal of Infectious Diseases, 97. pp. 296-298. ISSN 1201-9712 (Print), 1878-3511 (Online) (doi:https://doi.org/10.1016/j.ijid.2020.06.030)
Xiao, Yanni, Tang, Biao, Wu, Jianhong, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2020) Linking key intervention timing to rapid decline of the COVID-19 effective reproductive number to quantify lessons from mainland China. International Journal of Infectious Diseases, 97. pp. 296-298. ISSN 1201-9712 (Print), 1878-3511 (Online) (doi:https://doi.org/10.1016/j.ijid.2020.06.030)
emerging infectious diseases
Zhou, Hao, Sha, He, Cheke, Robert ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2024) Model analysis and data validation of structured prevention and control interruptions of emerging infectious diseases. Journal of Mathematical Biology, 88:62. pp. 1-34. ISSN 0303-6812 (Print), 1432-1416 (Online) (doi:https://doi.org/10.1007/s00285-024-02083-y)
ENSO
Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Young, Stephen, Wang, Xia, Tratalos, Jamie A., Tang, Sanyi and Cressman, Keith (2020) Evidence for a causal relationship between the solar cycle and locust abundance. Agronomy, 11 (1):69. pp. 1-22. ISSN 2073-4395 (Online) (doi:https://doi.org/10.3390/agronomy11010069)
epidemic waves
Tang, Sanyi, Wang, Xia, Tang, Biao, He, Sha, Huang, Chenxi, Shao, Yiming, Xiao, Yanni and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) Threshold conditions for curbing COVID‑19 with a dynamic zero‑case policy derived from 101 outbreaks in China. BMC Public Health, 23:1084. pp. 1-12. ISSN 1471-2458 (doi:https://doi.org/10.1186/s12889-023-16009-8)
epidemiology
Tang, Biao, Ma, Kexin, Liu, Yan, Wang, Xia, Tang, Sanyi, Xiao, Yanni and Cheke, Robert ORCID: 0000-0002-7437-1934 (2024) Managing spatio-temporal heterogeneity of susceptibles by embedding it into an homogeneous model: a mechanistic and deep learning study. PLoS Computational Biology, 20 (9):e1012497. ISSN 1553-734X (doi:https://doi.org/10.1371/journal.pcbi.1012497)
Wang, Xia, Li, Qian, He, Sha, Fan, Xia, Song, Pengfei, Shao, Yiming, Wu, Jianhong, Cheke, Robert ORCID: 0000-0002-7437-1934 , Tang, Sanyi and Xiao, Yanni (2021) Effects of medical resource capacities and intensities of public mitigation measures on outcomes of COVID-19 outbreaks. BMC Public Health, 21:605. pp. 1-11. ISSN 1471-2458 (Online) (doi:https://doi.org/10.1186/s12889-021-10657-4)
Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2010) Dynamical analysis of plant disease models with cultural control strategies and economic thresholds. Mathematics and Computers in Simulation, 80 (5). pp. 894-921. ISSN 0378-4754 (doi:https://doi.org/10.1016/j.matcom.2009.10.004)
Evolution
Liang, Juhua, Tang, Sanyi, Nieto, Juan J. and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2013) Analytical methods for detecting pesticide switches with evolution of pesticide resistance. Mathematical Biosciences, 245 (2). pp. 249-257. ISSN 0025-5564 (Print), 1879-3134 (Online) (doi:https://doi.org/10.1016/j.mbs.2013.07.008)
extended Ricker model
Song, Liwen, Tang, Sanyi, Xiang, Changcheng, Cheke, Robert ORCID: 0000-0002-7437-1934 and He, Sha (2023) Modelling and bifurcation analysis of spatiotemporal hormetic effects on pest control. Chaos, Solitons and Fractals, 177:114194. pp. 1-16. ISSN 0960-0779 (Print), 1873-2887 (Online) (doi:https://doi.org/10.1016/j.chaos.2023.114194)
fengxiao
Tang, Sanyi, Xiao, Yanni, Yuan, Lin, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2012) Campus quarantine (Fengxiao) for curbing emergent infectious diseases: Lessons from mitigating A/H1N1 in Xi'an, China. Journal of Theoretical Biology, 295. pp. 47-58. ISSN 0022-5193 (doi:https://doi.org/10.1016/j.jtbi.2011.10.035)
Tang, Sanyi, Xiao, Yanni, Yuan, Lin, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2012) Campus quarantine (Fengxiao) for curbing emergent infectious diseases: lessons from mitigating A/H1N1 in Xi’an, China. Journal of Theoretical Biology, 295. pp. 47-58. ISSN 0022-5193 (doi:https://doi.org/10.1016/j.jtbi.2011.10.035)
Filippov system
Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2013) Global stability and sliding bifurcations of a non-smooth Gause predator–prey system. Applied Mathematics and Computation, 224. pp. 9-20. ISSN 0096-3003 (doi:https://doi.org/10.1016/j.amc.2013.08.024)
Tang, Sanyi, Liang, Juhua, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2012) Sliding bifurcations of Filippov two stage pest control models with economic thresholds. SIAM Journal on Applied Mathematics, 72 (4). pp. 1061-1080. ISSN 0036-1399 (Print), 1095-712X (Online) (doi:https://doi.org/10.1137/110847020)
fishing time
Tan, Yi, Ning, Lijuan, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Optimal threshold density in a stochastic resource management model with pulse intervention. Natural Resource Modeling, 32 (4):e12220. ISSN 0890-8575 (Print), 1939-7445 (Online) (doi:https://doi.org/10.1111/nrm.12220)
Fitness effects
Zhang, X, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2015) Models to assess how best to replace dengue virus vectors with Wolbachia-infected mosquito populations. Mathematical Biosciences, 269. pp. 164-177. ISSN 0025-5564 (Print), 1879-3134 (Online) (doi:https://doi.org/10.1016/j.mbs.2015.09.004)
frequency of pesticide applications
Liang, Juhua, Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2013) Adaptive release of natural enemies in a pest-natural enemy system with pesticide resistance. Bulletin of Mathematical Biology, 75 (11). pp. 2167-2195. ISSN 0092-8240 (Print), 1522-9602 (Online) (doi:https://doi.org/10.1007/s11538-013-9886-6)
global analysis
Tang, Guangyao, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2014) Global analysis of a Holling type II predator–prey model with a constant prey refuge. Nonlinear Dynamics, 76 (1). pp. 635-647. ISSN 0924-090X (Print), 1573-269X (Online) (doi:https://doi.org/10.1007/s11071-013-1157-4)
global stability
Tang, Sanyi, Pang, Wenhong, Cheke, Robert ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2015) Global dynamics of a state-dependent feedback control system. Advances in Difference Equations:322. pp. 1-70. ISSN 1687-1839 (Print), 1687-1847 (Online) (doi:https://doi.org/10.1186/s13662-015-0661-x)
Glucose infusion
Yang, Jin, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2016) The regulatory system for diabetes mellitus: Modeling rates of glucose infusions and insulin injections. Communications in Nonlinear Science and Numerical Simulation, 37. pp. 305-325. ISSN 1007-5704 (Print), 1878-7274 (Online) (doi:https://doi.org/10.1016/j.cnsns.2016.02.001)
glucose-insulin model
Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2015) Modelling the regulatory system for diabetes mellitus with a threshold window. Communications in Nonlinear Science and Numerical Simulation, 22 (1-3). pp. 478-491. ISSN 1007-5704 (doi:https://doi.org/10.1016/j.cnsns.2014.08.012)
Glucose-insulin system
Yang, Jin, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2016) The regulatory system for diabetes mellitus: Modeling rates of glucose infusions and insulin injections. Communications in Nonlinear Science and Numerical Simulation, 37. pp. 305-325. ISSN 1007-5704 (Print), 1878-7274 (Online) (doi:https://doi.org/10.1016/j.cnsns.2016.02.001)
heterogeneity
Tang, Biao, Ma, Kexin, Liu, Yan, Wang, Xia, Tang, Sanyi, Xiao, Yanni and Cheke, Robert ORCID: 0000-0002-7437-1934 (2024) Managing spatio-temporal heterogeneity of susceptibles by embedding it into an homogeneous model: a mechanistic and deep learning study. PLoS Computational Biology, 20 (9):e1012497. ISSN 1553-734X (doi:https://doi.org/10.1371/journal.pcbi.1012497)
Holling type II predator-prey model
Qin, Wenjie, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2014) The effects of resource limitation on a predator-prey model with control measures as nonlinear pulses. Mathematical Problems in Engineering, 2014:450935. ISSN 1024-123X (Print), 1563-5147 (Online) (doi:https://doi.org/10.1155/2014/450935)
Holling’s disc equation
Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Tang, Sanyi and Tratalos, Jamie A. (2014) Predator–prey population models of migrant insects with phase change. ICES Journal of Marine Science, 71 (8). pp. 2221-2230. ISSN 1054-3139 (Print), 1095-9289 (Online) (doi:https://doi.org/10.1093/icesjms/fst150)
hormesis
Tang, Sanyi, Li, Shuo, Tang, Biao, Wang, Xia, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2023) Hormetic and synergistic effects of cancer treatments revealed by modelling combinations of radio ‑ or chemotherapy with immunotherapy. BMC Cancer, 23:1040. pp. 1-14. ISSN 1471-2407 (Online) (doi:https://doi.org/10.1186/s12885-023-11542-6)
Yang, Linqian, Wang, Jiaying, Cheke, Robert ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2021) A universal delayed difference model fitting dose-response curves. Dose-Response, 9 (4). pp. 1-18. ISSN 1559-3258 (Online) (doi:https://doi.org/10.1177/15593258211062785)
hormetic effects
Song, Liwen, Tang, Sanyi, Xiang, Changcheng, Cheke, Robert ORCID: 0000-0002-7437-1934 and He, Sha (2023) Modelling and bifurcation analysis of spatiotemporal hormetic effects on pest control. Chaos, Solitons and Fractals, 177:114194. pp. 1-16. ISSN 0960-0779 (Print), 1873-2887 (Online) (doi:https://doi.org/10.1016/j.chaos.2023.114194)
hormetic zone
Yan, Dingding, He, Mengqi, Cheke, Robert ORCID: 0000-0002-7437-1934 , Zhang, Qianqian and Tang, Sanyi (2024) A stochastic hormesis Ricker model and its application to multiple fields. Chaos, Solitons and Fractals, 185:115131. pp. 1-13. ISSN 0960-0779 (Print), 1873-2887 (Online) (doi:https://doi.org/10.1016/j.chaos.2024.115131)
hospital beds
Zhou, Weike, Wang, Aili, Wang, Xia, Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Xiao, Yanni and Tang, Sanyi (2020) Impact of hospital bed shortages on the containment of COVID-19 in Wuhan. International Journal of Environmental Research and Public Health, 17 (22):8560. ISSN 1661-7827 (Print), 1660-4601 (Online) (doi:https://doi.org/10.3390/ijerph17228560)
host outbreak
Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2008) Multiple attractors of host-parasitoid models with integrated pest management strategies: eradication, persistence and outbreak. Theoretical Population Biology, 73 (2). pp. 181-197. ISSN 0040-5809 (doi:https://doi.org/10.1016/j.tpb.2007.12.001)
host-parasitoid model
He, Mengqi, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2020) A holling type II discrete switching host-parasitoid system with a nonlinear threshold policy for integrated pest management. Discrete Dynamics in Nature and Society, 2020:9425285. ISSN 1026-0226 (Print), 1607-887X (Online) (doi:https://doi.org/10.1155/2020/9425285)
Liang, Juhua, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2018) A discrete host-parasitoid model with development of pesticide resistance and IPM strategies. Journal of Biological Dynamics, 12 (1). pp. 1059-1078. ISSN 1751-3758 (Print), 1751-3766 (Online) (doi:https://doi.org/10.1080/17513758.2018.1556351)
host–parasitoid model
Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2008) Models for integrated pest control and their biological implications. Mathematical Biosciences, 215 (1). pp. 115-125. ISSN 0025-5564 (doi:https://doi.org/10.1016/j.mbs.2008.06.008)
host–parasitoid ratio
Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2008) Models for integrated pest control and their biological implications. Mathematical Biosciences, 215 (1). pp. 115-125. ISSN 0025-5564 (doi:https://doi.org/10.1016/j.mbs.2008.06.008)
immune response curve
Tang, Sanyi, Li, Shuo, Tang, Biao, Wang, Xia, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2023) Hormetic and synergistic effects of cancer treatments revealed by modelling combinations of radio ‑ or chemotherapy with immunotherapy. BMC Cancer, 23:1040. pp. 1-14. ISSN 1471-2407 (Online) (doi:https://doi.org/10.1186/s12885-023-11542-6)
immunity waning
Wu, YuanYuan, Zhou, Weike, Tang, Sanyi, Cheke, Robert ORCID: 0000-0002-7437-1934 and Wang, Xia (2023) Prediction of the next major outbreak of COVID-19 in Mainland China and a vaccination strategy for it. Royal Society Open Science, 10:230655. pp. 1-14. ISSN 2054-5703 (Online) (doi:https://doi.org/10.1098/rsos.230655)
immunotherapy
Tang, Biao, Xiao, Yanni, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2016) A feedback control model of immunogenic tumours with comprehensive therapy. International Journal of Bifurcation and Chaos, 26 (3):1650039. pp. 1-22. ISSN 0218-1274 (doi:https://doi.org/10.1142/S0218127416500395)
Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2015) Modelling pulsed immunotherapy of tumour–immune interaction. Mathematics and Computers in Simulation, 109. pp. 92-112. ISSN 0378-4754 (doi:https://doi.org/10.1016/j.matcom.2014.09.001)
Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2014) Modelling pulsed immunotherapy of tumour-immune interaction. Mathematics and Computers in Simulation, 109. pp. 92-112. ISSN 0378-4754 (doi:https://doi.org/10.1016/j.matcom.2014.09.001)
impulsive difference equations
Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2008) Multiple attractors of host-parasitoid models with integrated pest management strategies: eradication, persistence and outbreak. Theoretical Population Biology, 73 (2). pp. 181-197. ISSN 0040-5809 (doi:https://doi.org/10.1016/j.tpb.2007.12.001)
impulsive harvesting
Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Xiao, Yanni (2006) Optimal impulsive harvesting on non-autonomous Beverton-Holt difference equations. Nonlinear Analysis: Theory, Methods & Applications, 65 (12). pp. 2311-2341. ISSN 0362-546X (doi:https://doi.org/10.1016/j.na.2006.02.049)
impulsive set
Tang, Sanyi, Pang, Wenhong, Cheke, Robert ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2015) Global dynamics of a state-dependent feedback control system. Advances in Difference Equations:322. pp. 1-70. ISSN 1687-1839 (Print), 1687-1847 (Online) (doi:https://doi.org/10.1186/s13662-015-0661-x)
influenza-like illness (ILI)
Yan, Quinling, Cheke, Robert ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2022) Coupling an individual adaptive-decision model with a SIRV model of influenza vaccination reveals new insights for epidemic control. Statistics in Medicine, 42 (5). pp. 716-729. ISSN 0277-6715 (Print), 1097-0258 (Online) (doi:https://doi.org/10.1002/sim.9639)
initial density
Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2008) Models for integrated pest control and their biological implications. Mathematical Biosciences, 215 (1). pp. 115-125. ISSN 0025-5564 (doi:https://doi.org/10.1016/j.mbs.2008.06.008)
inoculative releases
Liang, Juhua, Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2014) Models for determining how many natural enemies to release inoculatively in combinations of biological and chemical control with pesticide resistance. Journal of Mathematical Analysis and Applications, 422 (2). pp. 1479-1503. ISSN 0022-247X (doi:https://doi.org/10.1016/j.jmaa.2014.09.048)
Insulin injection
Yang, Jin, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2016) The regulatory system for diabetes mellitus: Modeling rates of glucose infusions and insulin injections. Communications in Nonlinear Science and Numerical Simulation, 37. pp. 305-325. ISSN 1007-5704 (Print), 1878-7274 (Online) (doi:https://doi.org/10.1016/j.cnsns.2016.02.001)
insulin therapy
Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2015) Modelling the regulatory system for diabetes mellitus with a threshold window. Communications in Nonlinear Science and Numerical Simulation, 22 (1-3). pp. 478-491. ISSN 1007-5704 (doi:https://doi.org/10.1016/j.cnsns.2014.08.012)
integrated pest management
Tang, Sanyi, Pang, Wenhong, Cheke, Robert ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2015) Global dynamics of a state-dependent feedback control system. Advances in Difference Equations:322. pp. 1-70. ISSN 1687-1839 (Print), 1687-1847 (Online) (doi:https://doi.org/10.1186/s13662-015-0661-x)
integro-difference equation
Song, Liwen, Tang, Sanyi, Xiang, Changcheng, Cheke, Robert ORCID: 0000-0002-7437-1934 and He, Sha (2023) Modelling and bifurcation analysis of spatiotemporal hormetic effects on pest control. Chaos, Solitons and Fractals, 177:114194. pp. 1-16. ISSN 0960-0779 (Print), 1873-2887 (Online) (doi:https://doi.org/10.1016/j.chaos.2023.114194)
Inter-country comparisons
Wang, Xia, Li, Qian, He, Sha, Fan, Xia, Song, Pengfei, Shao, Yiming, Wu, Jianhong, Cheke, Robert ORCID: 0000-0002-7437-1934 , Tang, Sanyi and Xiao, Yanni (2021) Effects of medical resource capacities and intensities of public mitigation measures on outcomes of COVID-19 outbreaks. BMC Public Health, 21:605. pp. 1-11. ISSN 1471-2458 (Online) (doi:https://doi.org/10.1186/s12889-021-10657-4)
intergrated pest management
He, Mengqi, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2020) A holling type II discrete switching host-parasitoid system with a nonlinear threshold policy for integrated pest management. Discrete Dynamics in Nature and Society, 2020:9425285. ISSN 1026-0226 (Print), 1607-887X (Online) (doi:https://doi.org/10.1155/2020/9425285)
Intervention
Wang, Xia, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2016) A stage structured mosquito model incorporating effects of precipitation and daily temperature fluctuations. Journal of Theoretical Biology, 411. pp. 27-36. ISSN 0022-5193 (doi:https://doi.org/10.1016/j.jtbi.2016.09.015)
intervention timing
Xiao, Yanni, Tang, Biao, Wu, Jianhong, Cheke, Robert ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2020) Linking key intervention timings to rapid decline of the COVID-19 effective reproductive number to quantify lessons from mainland China. International Journal of Infectious Diseases, 97. pp. 296-298. ISSN 1201-9712 (Print), 1878-3511 (Online) (doi:https://doi.org/10.1016/j.ijid.2020.06.030)
Xiao, Yanni, Tang, Biao, Wu, Jianhong, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2020) Linking key intervention timing to rapid decline of the COVID-19 effective reproductive number to quantify lessons from mainland China. International Journal of Infectious Diseases, 97. pp. 296-298. ISSN 1201-9712 (Print), 1878-3511 (Online) (doi:https://doi.org/10.1016/j.ijid.2020.06.030)
IOD
Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Young, Stephen, Wang, Xia, Tratalos, Jamie A., Tang, Sanyi and Cressman, Keith (2020) Evidence for a causal relationship between the solar cycle and locust abundance. Agronomy, 11 (1):69. pp. 1-22. ISSN 2073-4395 (Online) (doi:https://doi.org/10.3390/agronomy11010069)
IPM
Tian, Yuan, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Dynamic complexity of a predator-prey model for IPM with nonlinear impulsive control incorporating a regulatory factor for predator releases. Mathematical Modelling and Analysis, 24 (1). pp. 134-154. ISSN 1392-6292 (Print), 1648-3510 (Online) (doi:https://doi.org/10.3846/mma.2019.010)
Liang, Juhua, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2018) A discrete host-parasitoid model with development of pesticide resistance and IPM strategies. Journal of Biological Dynamics, 12 (1). pp. 1059-1078. ISSN 1751-3758 (Print), 1751-3766 (Online) (doi:https://doi.org/10.1080/17513758.2018.1556351)
Yuan, Baoyin, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2015) Duality in phase space and complex dynamics of an integrated pest management network model. International Journal of Bifurcation and Chaos (ijbc), 25 (8):1550103. pp. 1-17. ISSN 0218-1274 (Print), 1793-6551 (Online) (doi:https://doi.org/10.1142/S0218127415501035)
Liang, Juhua, Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2014) Models for determining how many natural enemies to release inoculatively in combinations of biological and chemical control with pesticide resistance. Journal of Mathematical Analysis and Applications, 422 (2). pp. 1479-1503. ISSN 0022-247X (doi:https://doi.org/10.1016/j.jmaa.2014.09.048)
Liang, Juhua, Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2013) Adaptive release of natural enemies in a pest-natural enemy system with pesticide resistance. Bulletin of Mathematical Biology, 75 (11). pp. 2167-2195. ISSN 0092-8240 (Print), 1522-9602 (Online) (doi:https://doi.org/10.1007/s11538-013-9886-6)
Liang, Juhua, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2012) An integrated pest management model with delayed responses to pesticide applications and its threshold dynamics. Nonlinear Analysis: Real World Applications, 13 (5). pp. 2352-2374. ISSN 1468-1218 (doi:https://doi.org/10.1016/j.nonrwa.2012.02.003)
Tang, Sanyi, Liang, Juhua, Tan, Yuanshun and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2011) Threshold conditions for integrated pest management models with pesticides that have residual effects. Journal of Mathematical Biology, 66 (1-2). pp. 1-35. ISSN 0303-6812 (Print), 1432-1416 (Online) (doi:https://doi.org/10.1007/s00285-011-0501-x)
Tang, Sanyi, Tang, Guangyao and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2010) Optimum timing for integrated pest management: Modelling rates of pesticide application and natural enemy releases. Journal of Theoretical Biology, 264 (2). pp. 623-638. ISSN 0022-5193 (doi:https://doi.org/10.1016/j.jtbi.2010.02.034)
Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2008) Models for integrated pest control and their biological implications. Mathematical Biosciences, 215 (1). pp. 115-125. ISSN 0025-5564 (doi:https://doi.org/10.1016/j.mbs.2008.06.008)
Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2008) Multiple attractors of host-parasitoid models with integrated pest management strategies: eradication, persistence and outbreak. Theoretical Population Biology, 73 (2). pp. 181-197. ISSN 0040-5809 (doi:https://doi.org/10.1016/j.tpb.2007.12.001)
Kalman filter
Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Young, Stephen, Wang, Xia, Tratalos, Jamie A., Tang, Sanyi and Cressman, Keith (2020) Evidence for a causal relationship between the solar cycle and locust abundance. Agronomy, 11 (1):69. pp. 1-22. ISSN 2073-4395 (Online) (doi:https://doi.org/10.3390/agronomy11010069)
limit cycle
Tang, Guangyao, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2014) Global analysis of a Holling type II predator–prey model with a constant prey refuge. Nonlinear Dynamics, 76 (1). pp. 635-647. ISSN 0924-090X (Print), 1573-269X (Online) (doi:https://doi.org/10.1007/s11071-013-1157-4)
Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2013) Global stability and sliding bifurcations of a non-smooth Gause predator–prey system. Applied Mathematics and Computation, 224. pp. 9-20. ISSN 0096-3003 (doi:https://doi.org/10.1016/j.amc.2013.08.024)
lockdown
Xiao, Yanni, Tang, Biao, Wu, Jianhong, Cheke, Robert ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2020) Linking key intervention timings to rapid decline of the COVID-19 effective reproductive number to quantify lessons from mainland China. International Journal of Infectious Diseases, 97. pp. 296-298. ISSN 1201-9712 (Print), 1878-3511 (Online) (doi:https://doi.org/10.1016/j.ijid.2020.06.030)
Xiao, Yanni, Tang, Biao, Wu, Jianhong, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2020) Linking key intervention timing to rapid decline of the COVID-19 effective reproductive number to quantify lessons from mainland China. International Journal of Infectious Diseases, 97. pp. 296-298. ISSN 1201-9712 (Print), 1878-3511 (Online) (doi:https://doi.org/10.1016/j.ijid.2020.06.030)
locust
Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Tang, Sanyi and Tratalos, Jamie A. (2014) Predator–prey population models of migrant insects with phase change. ICES Journal of Marine Science, 71 (8). pp. 2221-2230. ISSN 1054-3139 (Print), 1095-9289 (Online) (doi:https://doi.org/10.1093/icesjms/fst150)
machine learning
Tang, Biao, Ma, Kexin, Liu, Yan, Wang, Xia, Tang, Sanyi, Xiao, Yanni and Cheke, Robert ORCID: 0000-0002-7437-1934 (2024) Managing spatio-temporal heterogeneity of susceptibles by embedding it into an homogeneous model: a mechanistic and deep learning study. PLoS Computational Biology, 20 (9):e1012497. ISSN 1553-734X (doi:https://doi.org/10.1371/journal.pcbi.1012497)
mathematical model
Tang, Sanyi, Wang, Xia, Tang, Biao, He, Sha, Huang, Chenxi, Shao, Yiming, Xiao, Yanni and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) Threshold conditions for curbing COVID‑19 with a dynamic zero‑case policy derived from 101 outbreaks in China. BMC Public Health, 23:1084. pp. 1-12. ISSN 1471-2458 (doi:https://doi.org/10.1186/s12889-023-16009-8)
He, Mengqi, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2020) A holling type II discrete switching host-parasitoid system with a nonlinear threshold policy for integrated pest management. Discrete Dynamics in Nature and Society, 2020:9425285. ISSN 1026-0226 (Print), 1607-887X (Online) (doi:https://doi.org/10.1155/2020/9425285)
Mathematical modeling
Wang, Xia, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2016) A stage structured mosquito model incorporating effects of precipitation and daily temperature fluctuations. Journal of Theoretical Biology, 411. pp. 27-36. ISSN 0022-5193 (doi:https://doi.org/10.1016/j.jtbi.2016.09.015)
mathematical modelling
Tang, Sanyi, Xiao, Yanni, Yuan, Lin, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2012) Campus quarantine (Fengxiao) for curbing emergent infectious diseases: Lessons from mitigating A/H1N1 in Xi'an, China. Journal of Theoretical Biology, 295. pp. 47-58. ISSN 0022-5193 (doi:https://doi.org/10.1016/j.jtbi.2011.10.035)
Tang, Sanyi, Xiao, Yanni, Yuan, Lin, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2012) Campus quarantine (Fengxiao) for curbing emergent infectious diseases: lessons from mitigating A/H1N1 in Xi’an, China. Journal of Theoretical Biology, 295. pp. 47-58. ISSN 0022-5193 (doi:https://doi.org/10.1016/j.jtbi.2011.10.035)
maximal biomass expectation
Tan, Yi, Ning, Lijuan, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Optimal threshold density in a stochastic resource management model with pulse intervention. Natural Resource Modeling, 32 (4):e12220. ISSN 0890-8575 (Print), 1939-7445 (Online) (doi:https://doi.org/10.1111/nrm.12220)
maximum sustainable yield
Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Xiao, Yanni (2006) Optimal impulsive harvesting on non-autonomous Beverton-Holt difference equations. Nonlinear Analysis: Theory, Methods & Applications, 65 (12). pp. 2311-2341. ISSN 0362-546X (doi:https://doi.org/10.1016/j.na.2006.02.049)
mean first passage time
He, Sha, Yan, Dingding, Shu, Hongying, Tang, Sanyi, Wang, Xia and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) Randomness accelerates the dynamic clearing process of the COVID-19 outbreaks in China. Mathematical Biosciences, 363:109055. ISSN 0025-5564 (Print), 1879-3134 (Online) (doi:https://doi.org/10.1016/j.mbs.2023.109055)
mitigation
Tang, Sanyi, Wang, Xia, Tang, Biao, He, Sha, Huang, Chenxi, Shao, Yiming, Xiao, Yanni and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) Threshold conditions for curbing COVID‑19 with a dynamic zero‑case policy derived from 101 outbreaks in China. BMC Public Health, 23:1084. pp. 1-12. ISSN 1471-2458 (doi:https://doi.org/10.1186/s12889-023-16009-8)
mixed response curve
Tang, Sanyi, Li, Shuo, Tang, Biao, Wang, Xia, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2023) Hormetic and synergistic effects of cancer treatments revealed by modelling combinations of radio ‑ or chemotherapy with immunotherapy. BMC Cancer, 23:1040. pp. 1-14. ISSN 1471-2407 (Online) (doi:https://doi.org/10.1186/s12885-023-11542-6)
model
Tang, Biao, Ma, Kexin, Liu, Yan, Wang, Xia, Tang, Sanyi, Xiao, Yanni and Cheke, Robert ORCID: 0000-0002-7437-1934 (2024) Managing spatio-temporal heterogeneity of susceptibles by embedding it into an homogeneous model: a mechanistic and deep learning study. PLoS Computational Biology, 20 (9):e1012497. ISSN 1553-734X (doi:https://doi.org/10.1371/journal.pcbi.1012497)
Cheng, Qu, Liu, Yan, Wang, Xia, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) The relative importance of key meteorological factors affecting numbers of mosquito vectors of dengue fever. PLoS Neglected Tropical Diseases, 17 (4):e0011247. pp. 1-21. ISSN 1935-2727 (Print), 1935-2735 (Online) (doi:https://doi.org/10.1371/journal.pntd.0011247)
Wang, Xia, Li, Qian, He, Sha, Fan, Xia, Song, Pengfei, Shao, Yiming, Wu, Jianhong, Cheke, Robert ORCID: 0000-0002-7437-1934 , Tang, Sanyi and Xiao, Yanni (2021) Effects of medical resource capacities and intensities of public mitigation measures on outcomes of COVID-19 outbreaks. BMC Public Health, 21:605. pp. 1-11. ISSN 1471-2458 (Online) (doi:https://doi.org/10.1186/s12889-021-10657-4)
Qin, Wenjie, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2013) Nonlinear pulse vaccination in an SIR epidemic model with resource limitation. Abstract and Applied Analysis, 2013:670263. ISSN 1085-3375 (Print), 1687-0409 (Online) (doi:https://doi.org/10.1155/2013/670263)
Mosquito augmentation
Zhang, Xianghong, Tang, Sanyi, Liu, Qiyong, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Zhu, Huaiping (2018) Models to assess the effects of non-identical sex ratio augmentations of Wolbachia-carrying mosquitoes on the control of dengue disease. Mathematical Biosciences, 299. pp. 58-72. ISSN 0025-5564 (doi:https://doi.org/10.1016/j.mbs.2018.03.003)
Zhang, Xianghong, Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Zhu, Huaiping (2016) Modeling the effects of augmentation strategies on the control of Dengue fever with an impulsive differential equation. Bulletin of Mathematical Biology, 78 (10). pp. 1968-2010. ISSN 0092-8240 (Print), 1522-9602 (Online) (doi:https://doi.org/10.1007/s11538-016-0208-7)
Multi-scale model
Wang, Xia, Tang, Sanyi, Wu, Jianhong, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) A combination of climatic conditions determines major within-season dengue outbreaks in Guangdong Province, China. Parasites & Vectors, 12 (45). ISSN 1756-3305 (doi:https://doi.org/10.1186/s13071-019-3295-0)
multiple peaks
Zhou, Hao, Sha, He, Cheke, Robert ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2024) Model analysis and data validation of structured prevention and control interruptions of emerging infectious diseases. Journal of Mathematical Biology, 88:62. pp. 1-34. ISSN 0303-6812 (Print), 1432-1416 (Online) (doi:https://doi.org/10.1007/s00285-024-02083-y)
Multiple pesticide applications
Wang, Xia, Xu, Zihui, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2017) Cumulative effects of incorrect use of pesticides can lead to catastrophic outbreaks of pests. Chaos, Solitons & Fractals, 100. pp. 7-19. ISSN 0960-0779 (doi:https://doi.org/10.1016/j.chaos.2017.04.030)
multiscale model
Xiao, Yanni, Xiang, Changcheng, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2020) Coupling the macroscale to the microscale in a spatiotemporal context to examine effects of spatial diffusion on disease transmission. Bulletin of Mathematical Biology, 82:58. ISSN 0092-8240 (Print), 1522-9602 (Online) (doi:https://doi.org/10.1007/s11538-020-00736-9)
NAO
Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Young, Stephen, Wang, Xia, Tratalos, Jamie A., Tang, Sanyi and Cressman, Keith (2020) Evidence for a causal relationship between the solar cycle and locust abundance. Agronomy, 11 (1):69. pp. 1-22. ISSN 2073-4395 (Online) (doi:https://doi.org/10.3390/agronomy11010069)
natural enemies
Qin, Wenjie, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2014) The effects of resource limitation on a predator-prey model with control measures as nonlinear pulses. Mathematical Problems in Engineering, 2014:450935. ISSN 1024-123X (Print), 1563-5147 (Online) (doi:https://doi.org/10.1155/2014/450935)
natural enemy
Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Xiao, Yanni (2009) Effects of predator and prey dispersal on success or failure of biological control. Bulletin of Mathematical Biology, 71 (8). pp. 2025-2047. ISSN 0092-8240 (Print), 1522-9602 (Online) (doi:https://doi.org/10.1007/s11538-009-9438-2)
neural network
Tang, Biao, Ma, Kexin, Liu, Yan, Wang, Xia, Tang, Sanyi, Xiao, Yanni and Cheke, Robert ORCID: 0000-0002-7437-1934 (2024) Managing spatio-temporal heterogeneity of susceptibles by embedding it into an homogeneous model: a mechanistic and deep learning study. PLoS Computational Biology, 20 (9):e1012497. ISSN 1553-734X (doi:https://doi.org/10.1371/journal.pcbi.1012497)
newly reported cases
He, Sha, Yan, Dingding, Shu, Hongying, Tang, Sanyi, Wang, Xia and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) Randomness accelerates the dynamic clearing process of the COVID-19 outbreaks in China. Mathematical Biosciences, 363:109055. ISSN 0025-5564 (Print), 1879-3134 (Online) (doi:https://doi.org/10.1016/j.mbs.2023.109055)
Nicholson-Bailey model
Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2008) Multiple attractors of host-parasitoid models with integrated pest management strategies: eradication, persistence and outbreak. Theoretical Population Biology, 73 (2). pp. 181-197. ISSN 0040-5809 (doi:https://doi.org/10.1016/j.tpb.2007.12.001)
Non-overlapping generation
Wang, Xia, Xu, Zihui, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2017) Cumulative effects of incorrect use of pesticides can lead to catastrophic outbreaks of pests. Chaos, Solitons & Fractals, 100. pp. 7-19. ISSN 0960-0779 (doi:https://doi.org/10.1016/j.chaos.2017.04.030)
non-pharmaceutical interventions
Tang, Sanyi, Wang, Xia, Tang, Biao, He, Sha, Huang, Chenxi, Shao, Yiming, Xiao, Yanni and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) Threshold conditions for curbing COVID‑19 with a dynamic zero‑case policy derived from 101 outbreaks in China. BMC Public Health, 23:1084. pp. 1-12. ISSN 1471-2458 (doi:https://doi.org/10.1186/s12889-023-16009-8)
nonlinear control action
Tian, Yuan, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Dynamic complexity of a predator-prey model for IPM with nonlinear impulsive control incorporating a regulatory factor for predator releases. Mathematical Modelling and Analysis, 24 (1). pp. 134-154. ISSN 1392-6292 (Print), 1648-3510 (Online) (doi:https://doi.org/10.3846/mma.2019.010)
Nonlinear control · Poincarémap · Order-1 periodic solution · Global stability · Pest control
Tian, Yuan, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2018) Nonlinear state-dependent feedback control of a pest-natural enemy system. Nonlinear Dynamics. ISSN 0924-090X (Print), 1573-269X (Online) (doi:https://doi.org/10.1007/s11071-018-4487-4)
Nonlinear impulsive
Li, Changtong, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2020) Complex dynamics and coexistence of period-doubling and period-halving bifurcations in an integrated pest management model with nonlinear impulsive control. Advances in Difference Equations:514. pp. 1-23. ISSN 1687-1839 (Print), 1687-1847 (Online) (doi:https://doi.org/10.1186/s13662-020-02971-9)
nonlinear pulse
Qin, Wenjie, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2014) The effects of resource limitation on a predator-prey model with control measures as nonlinear pulses. Mathematical Problems in Engineering, 2014:450935. ISSN 1024-123X (Print), 1563-5147 (Online) (doi:https://doi.org/10.1155/2014/450935)
nonsmooth predator–prey model
Tang, Guangyao, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2014) Global analysis of a Holling type II predator–prey model with a constant prey refuge. Nonlinear Dynamics, 76 (1). pp. 635-647. ISSN 0924-090X (Print), 1573-269X (Online) (doi:https://doi.org/10.1007/s11071-013-1157-4)
Nontrivial periodic solution
Li, Changtong, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2020) Complex dynamics and coexistence of period-doubling and period-halving bifurcations in an integrated pest management model with nonlinear impulsive control. Advances in Difference Equations:514. pp. 1-23. ISSN 1687-1839 (Print), 1687-1847 (Online) (doi:https://doi.org/10.1186/s13662-020-02971-9)
optimal control
He, Sha, Tang, Sanyi, Zhang, Qimin, Rong, Libin and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) Modelling optimal control of air pollution to reduce respiratory diseases. Applied Mathematics and Computation, 458:128223. ISSN 0096-3003 (Print), 1873-5649 (Online) (doi:https://doi.org/10.1016/j.amc.2023.128223)
Wang, Hao, Li, Tangjuan, Gao, Huan, Huang, Chenxi, Tang, Biao, Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Zhou, Weike (2023) Lessons drawn from Shanghai for controlling highly transmissible SARS‑CoV‑2 variants: insights from a modelling study. BMC Infectious Diseases, 23:331. ISSN 1471-2334 (Online) (doi:https://doi.org/10.1186/s12879-023-08316-7)
optimal strategy
Zhou, Hao, Sha, He, Cheke, Robert ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2024) Model analysis and data validation of structured prevention and control interruptions of emerging infectious diseases. Journal of Mathematical Biology, 88:62. pp. 1-34. ISSN 0303-6812 (Print), 1432-1416 (Online) (doi:https://doi.org/10.1007/s00285-024-02083-y)
optimal threshold density
Tan, Yi, Ning, Lijuan, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Optimal threshold density in a stochastic resource management model with pulse intervention. Natural Resource Modeling, 32 (4):e12220. ISSN 0890-8575 (Print), 1939-7445 (Online) (doi:https://doi.org/10.1111/nrm.12220)
optimum timing
Tang, Sanyi, Tang, Guangyao and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2010) Optimum timing for integrated pest management: Modelling rates of pesticide application and natural enemy releases. Journal of Theoretical Biology, 264 (2). pp. 623-638. ISSN 0022-5193 (doi:https://doi.org/10.1016/j.jtbi.2010.02.034)
order-k periodic solution
Tang, Biao, Xiao, Yanni, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2016) A feedback control model of immunogenic tumours with comprehensive therapy. International Journal of Bifurcation and Chaos, 26 (3):1650039. pp. 1-22. ISSN 0218-1274 (doi:https://doi.org/10.1142/S0218127416500395)
Oriental Migratory Locust Locusta migratoria manilensis (Meyen 1835)
Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Young, Stephen, Wang, Xia, Tratalos, Jamie A., Tang, Sanyi and Cressman, Keith (2020) Evidence for a causal relationship between the solar cycle and locust abundance. Agronomy, 11 (1):69. pp. 1-22. ISSN 2073-4395 (Online) (doi:https://doi.org/10.3390/agronomy11010069)
outbreak frequency
Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2008) Models for integrated pest control and their biological implications. Mathematical Biosciences, 215 (1). pp. 115-125. ISSN 0025-5564 (doi:https://doi.org/10.1016/j.mbs.2008.06.008)
outbreak peaking times
Tang, Sanyi, Xiao, Yanni, Yuan, Lin, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2012) Campus quarantine (Fengxiao) for curbing emergent infectious diseases: Lessons from mitigating A/H1N1 in Xi'an, China. Journal of Theoretical Biology, 295. pp. 47-58. ISSN 0022-5193 (doi:https://doi.org/10.1016/j.jtbi.2011.10.035)
Tang, Sanyi, Xiao, Yanni, Yuan, Lin, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2012) Campus quarantine (Fengxiao) for curbing emergent infectious diseases: lessons from mitigating A/H1N1 in Xi’an, China. Journal of Theoretical Biology, 295. pp. 47-58. ISSN 0022-5193 (doi:https://doi.org/10.1016/j.jtbi.2011.10.035)
outbreaks
Xiao, Yanni, Xiang, Changcheng, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2020) Coupling the macroscale to the microscale in a spatiotemporal context to examine effects of spatial diffusion on disease transmission. Bulletin of Mathematical Biology, 82:58. ISSN 0092-8240 (Print), 1522-9602 (Online) (doi:https://doi.org/10.1007/s11538-020-00736-9)
Pandemic
Wang, Xia, Li, Qian, He, Sha, Fan, Xia, Song, Pengfei, Shao, Yiming, Wu, Jianhong, Cheke, Robert ORCID: 0000-0002-7437-1934 , Tang, Sanyi and Xiao, Yanni (2021) Effects of medical resource capacities and intensities of public mitigation measures on outcomes of COVID-19 outbreaks. BMC Public Health, 21:605. pp. 1-11. ISSN 1471-2458 (Online) (doi:https://doi.org/10.1186/s12889-021-10657-4)
Tang, Sanyi, Xiao, Yanni, Yuan, Lin, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2012) Campus quarantine (Fengxiao) for curbing emergent infectious diseases: Lessons from mitigating A/H1N1 in Xi'an, China. Journal of Theoretical Biology, 295. pp. 47-58. ISSN 0022-5193 (doi:https://doi.org/10.1016/j.jtbi.2011.10.035)
pandemic A/H1N1 influenza
Tang, Sanyi, Xiao, Yanni, Yuan, Lin, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2012) Campus quarantine (Fengxiao) for curbing emergent infectious diseases: lessons from mitigating A/H1N1 in Xi’an, China. Journal of Theoretical Biology, 295. pp. 47-58. ISSN 0022-5193 (doi:https://doi.org/10.1016/j.jtbi.2011.10.035)
Paradox
Wang, Xia, Xu, Zihui, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2017) Cumulative effects of incorrect use of pesticides can lead to catastrophic outbreaks of pests. Chaos, Solitons & Fractals, 100. pp. 7-19. ISSN 0960-0779 (doi:https://doi.org/10.1016/j.chaos.2017.04.030)
periodic solution
Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2015) Modelling pulsed immunotherapy of tumour–immune interaction. Mathematics and Computers in Simulation, 109. pp. 92-112. ISSN 0378-4754 (doi:https://doi.org/10.1016/j.matcom.2014.09.001)
Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2014) Modelling pulsed immunotherapy of tumour-immune interaction. Mathematics and Computers in Simulation, 109. pp. 92-112. ISSN 0378-4754 (doi:https://doi.org/10.1016/j.matcom.2014.09.001)
pest
Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Xiao, Yanni (2009) Effects of predator and prey dispersal on success or failure of biological control. Bulletin of Mathematical Biology, 71 (8). pp. 2025-2047. ISSN 0092-8240 (Print), 1522-9602 (Online) (doi:https://doi.org/10.1007/s11538-009-9438-2)
pest control
Tang, Sanyi, Liang, Juhua, Xiang, Changcheng, Xiao, Yanni, Wang, Xia, Wu, Jianhong, Li, Guoping and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) A general model of hormesis in biological systems and its application to pest management. Journal of the Royal Society - Interface, 16 (157):20190468. pp. 1-11. ISSN 1742-5689 (Print), 1742-5662 (Online) (doi:https://doi.org/10.1098/rsif.2019.0468)
Tang, Sanyi, Liang, Juhua, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2012) Sliding bifurcations of Filippov two stage pest control models with economic thresholds. SIAM Journal on Applied Mathematics, 72 (4). pp. 1061-1080. ISSN 0036-1399 (Print), 1095-712X (Online) (doi:https://doi.org/10.1137/110847020)
Tang, Sanyi, Liang, Juhua, Tan, Yuanshun and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2011) Threshold conditions for integrated pest management models with pesticides that have residual effects. Journal of Mathematical Biology, 66 (1-2). pp. 1-35. ISSN 0303-6812 (Print), 1432-1416 (Online) (doi:https://doi.org/10.1007/s00285-011-0501-x)
Tang, Sanyi, Tang, Guangyao and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2010) Optimum timing for integrated pest management: Modelling rates of pesticide application and natural enemy releases. Journal of Theoretical Biology, 264 (2). pp. 623-638. ISSN 0022-5193 (doi:https://doi.org/10.1016/j.jtbi.2010.02.034)
pest free periodic solution
Tian, Yuan, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Dynamic complexity of a predator-prey model for IPM with nonlinear impulsive control incorporating a regulatory factor for predator releases. Mathematical Modelling and Analysis, 24 (1). pp. 134-154. ISSN 1392-6292 (Print), 1648-3510 (Online) (doi:https://doi.org/10.3846/mma.2019.010)
pest management
Song, Liwen, Tang, Sanyi, Xiang, Changcheng, Cheke, Robert ORCID: 0000-0002-7437-1934 and He, Sha (2023) Modelling and bifurcation analysis of spatiotemporal hormetic effects on pest control. Chaos, Solitons and Fractals, 177:114194. pp. 1-16. ISSN 0960-0779 (Print), 1873-2887 (Online) (doi:https://doi.org/10.1016/j.chaos.2023.114194)
Pest resistance
Liang, Juhua, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2016) Beverton-Holt discrete pest management models with pulsed chemical control and evolution of pesticide resistance. Communications in Nonlinear Science and Numerical Simulation, 36. pp. 327-341. ISSN 1007-5704 (Print), 1878-7274 (Online) (doi:https://doi.org/10.1016/j.cnsns.2015.12.014)
Liang, Juhua, Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2014) Models for determining how many natural enemies to release inoculatively in combinations of biological and chemical control with pesticide resistance. Journal of Mathematical Analysis and Applications, 422 (2). pp. 1479-1503. ISSN 0022-247X (doi:https://doi.org/10.1016/j.jmaa.2014.09.048)
Liang, Juhua, Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2013) Adaptive release of natural enemies in a pest-natural enemy system with pesticide resistance. Bulletin of Mathematical Biology, 75 (11). pp. 2167-2195. ISSN 0092-8240 (Print), 1522-9602 (Online) (doi:https://doi.org/10.1007/s11538-013-9886-6)
pest-free periodic solution
Qin, Wenjie, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2014) The effects of resource limitation on a predator-prey model with control measures as nonlinear pulses. Mathematical Problems in Engineering, 2014:450935. ISSN 1024-123X (Print), 1563-5147 (Online) (doi:https://doi.org/10.1155/2014/450935)
pest-natural enemy system
Tang, Sanyi, Liang, Juhua, Tan, Yuanshun and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2011) Threshold conditions for integrated pest management models with pesticides that have residual effects. Journal of Mathematical Biology, 66 (1-2). pp. 1-35. ISSN 0303-6812 (Print), 1432-1416 (Online) (doi:https://doi.org/10.1007/s00285-011-0501-x)
Pesticide application frequency
Liang, Juhua, Tang, Sanyi, Nieto, Juan J. and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2013) Analytical methods for detecting pesticide switches with evolution of pesticide resistance. Mathematical Biosciences, 245 (2). pp. 249-257. ISSN 0025-5564 (Print), 1879-3134 (Online) (doi:https://doi.org/10.1016/j.mbs.2013.07.008)
Pesticide application period
Liang, Juhua, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2016) Beverton-Holt discrete pest management models with pulsed chemical control and evolution of pesticide resistance. Communications in Nonlinear Science and Numerical Simulation, 36. pp. 327-341. ISSN 1007-5704 (Print), 1878-7274 (Online) (doi:https://doi.org/10.1016/j.cnsns.2015.12.014)
Pesticide switches
Liang, Juhua, Tang, Sanyi, Nieto, Juan J. and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2013) Analytical methods for detecting pesticide switches with evolution of pesticide resistance. Mathematical Biosciences, 245 (2). pp. 249-257. ISSN 0025-5564 (Print), 1879-3134 (Online) (doi:https://doi.org/10.1016/j.mbs.2013.07.008)
Pesticide switching
Liang, Juhua, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2016) Beverton-Holt discrete pest management models with pulsed chemical control and evolution of pesticide resistance. Communications in Nonlinear Science and Numerical Simulation, 36. pp. 327-341. ISSN 1007-5704 (Print), 1878-7274 (Online) (doi:https://doi.org/10.1016/j.cnsns.2015.12.014)
Phase change
Xiang, Changcheng, Tang, Sanyi, Cheke, Robert ORCID: 0000-0002-7437-1934 and Qin, Wenjie (2016) A locust phase change model with multiple switching states and random perturbation. International Journal of Bifurcation and Chaos (ijbc), 26 (13):1630037. pp. 1-17. ISSN 0218-1274 (Print), 1793-6551 (Online) (doi:https://doi.org/10.1142/S0218127416300378)
phase set
Tang, Sanyi, Pang, Wenhong, Cheke, Robert ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2015) Global dynamics of a state-dependent feedback control system. Advances in Difference Equations:322. pp. 1-70. ISSN 1687-1839 (Print), 1687-1847 (Online) (doi:https://doi.org/10.1186/s13662-015-0661-x)
planar impulsive semi-dynamical system
Tang, Sanyi, Pang, Wenhong, Cheke, Robert ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2015) Global dynamics of a state-dependent feedback control system. Advances in Difference Equations:322. pp. 1-70. ISSN 1687-1839 (Print), 1687-1847 (Online) (doi:https://doi.org/10.1186/s13662-015-0661-x)
plant disease
Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2010) Dynamical analysis of plant disease models with cultural control strategies and economic thresholds. Mathematics and Computers in Simulation, 80 (5). pp. 894-921. ISSN 0378-4754 (doi:https://doi.org/10.1016/j.matcom.2009.10.004)
Poincare map
Cheng, Tianyu, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Threshold dynamics and bifurcation of a state-dependent feedback nonlinear control SIR model. Journal of Computational and Nonlinear Dynamics, 14 (7). ISSN 1555-1415 (Print), 1555-1423 (Online) (doi:https://doi.org/10.1115/1.4043001)
Tang, Biao, Xiao, Yanni, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2016) A feedback control model of immunogenic tumours with comprehensive therapy. International Journal of Bifurcation and Chaos, 26 (3):1650039. pp. 1-22. ISSN 0218-1274 (doi:https://doi.org/10.1142/S0218127416500395)
Poincaré map
Tang, Sanyi, Pang, Wenhong, Cheke, Robert ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2015) Global dynamics of a state-dependent feedback control system. Advances in Difference Equations:322. pp. 1-70. ISSN 1687-1839 (Print), 1687-1847 (Online) (doi:https://doi.org/10.1186/s13662-015-0661-x)
polyphenism
Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Tang, Sanyi and Tratalos, Jamie A. (2014) Predator–prey population models of migrant insects with phase change. ICES Journal of Marine Science, 71 (8). pp. 2221-2230. ISSN 1054-3139 (Print), 1095-9289 (Online) (doi:https://doi.org/10.1093/icesjms/fst150)
Precipitation
Wang, Xia, Tang, Sanyi, Wu, Jianhong, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) A combination of climatic conditions determines major within-season dengue outbreaks in Guangdong Province, China. Parasites & Vectors, 12 (45). ISSN 1756-3305 (doi:https://doi.org/10.1186/s13071-019-3295-0)
predation
Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Tang, Sanyi and Tratalos, Jamie A. (2014) Predator–prey population models of migrant insects with phase change. ICES Journal of Marine Science, 71 (8). pp. 2221-2230. ISSN 1054-3139 (Print), 1095-9289 (Online) (doi:https://doi.org/10.1093/icesjms/fst150)
predator–prey model
Tang, Sanyi, Tang, Guangyao and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2010) Optimum timing for integrated pest management: Modelling rates of pesticide application and natural enemy releases. Journal of Theoretical Biology, 264 (2). pp. 623-638. ISSN 0022-5193 (doi:https://doi.org/10.1016/j.jtbi.2010.02.034)
Prediction
Wang, Xia, Li, Qian, He, Sha, Fan, Xia, Song, Pengfei, Shao, Yiming, Wu, Jianhong, Cheke, Robert ORCID: 0000-0002-7437-1934 , Tang, Sanyi and Xiao, Yanni (2021) Effects of medical resource capacities and intensities of public mitigation measures on outcomes of COVID-19 outbreaks. BMC Public Health, 21:605. pp. 1-11. ISSN 1471-2458 (Online) (doi:https://doi.org/10.1186/s12889-021-10657-4)
pulse
Qin, Wenjie, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2013) Nonlinear pulse vaccination in an SIR epidemic model with resource limitation. Abstract and Applied Analysis, 2013:670263. ISSN 1085-3375 (Print), 1687-0409 (Online) (doi:https://doi.org/10.1155/2013/670263)
pulse perturbation
Tan, Yi, Ning, Lijuan, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Optimal threshold density in a stochastic resource management model with pulse intervention. Natural Resource Modeling, 32 (4):e12220. ISSN 0890-8575 (Print), 1939-7445 (Online) (doi:https://doi.org/10.1111/nrm.12220)
Pulse spraying
Liang, Juhua, Tang, Sanyi, Nieto, Juan J. and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2013) Analytical methods for detecting pesticide switches with evolution of pesticide resistance. Mathematical Biosciences, 245 (2). pp. 249-257. ISSN 0025-5564 (Print), 1879-3134 (Online) (doi:https://doi.org/10.1016/j.mbs.2013.07.008)
radio-chemotherapy response curve
Tang, Sanyi, Li, Shuo, Tang, Biao, Wang, Xia, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2023) Hormetic and synergistic effects of cancer treatments revealed by modelling combinations of radio ‑ or chemotherapy with immunotherapy. BMC Cancer, 23:1040. pp. 1-14. ISSN 1471-2407 (Online) (doi:https://doi.org/10.1186/s12885-023-11542-6)
rainfall
Cheng, Qu, Liu, Yan, Wang, Xia, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) The relative importance of key meteorological factors affecting numbers of mosquito vectors of dengue fever. PLoS Neglected Tropical Diseases, 17 (4):e0011247. pp. 1-21. ISSN 1935-2727 (Print), 1935-2735 (Online) (doi:https://doi.org/10.1371/journal.pntd.0011247)
random perturbation
Tian, Yuan, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Dynamic complexity of a predator-prey model for IPM with nonlinear impulsive control incorporating a regulatory factor for predator releases. Mathematical Modelling and Analysis, 24 (1). pp. 134-154. ISSN 1392-6292 (Print), 1648-3510 (Online) (doi:https://doi.org/10.3846/mma.2019.010)
Xiang, Changcheng, Tang, Sanyi, Cheke, Robert ORCID: 0000-0002-7437-1934 and Qin, Wenjie (2016) A locust phase change model with multiple switching states and random perturbation. International Journal of Bifurcation and Chaos (ijbc), 26 (13):1630037. pp. 1-17. ISSN 0218-1274 (Print), 1793-6551 (Online) (doi:https://doi.org/10.1142/S0218127416300378)
random perturbations
Yan, Dingding, He, Mengqi, Cheke, Robert ORCID: 0000-0002-7437-1934 , Zhang, Qianqian and Tang, Sanyi (2024) A stochastic hormesis Ricker model and its application to multiple fields. Chaos, Solitons and Fractals, 185:115131. pp. 1-13. ISSN 0960-0779 (Print), 1873-2887 (Online) (doi:https://doi.org/10.1016/j.chaos.2024.115131)
refuge
Tang, Guangyao, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2014) Global analysis of a Holling type II predator–prey model with a constant prey refuge. Nonlinear Dynamics, 76 (1). pp. 635-647. ISSN 0924-090X (Print), 1573-269X (Online) (doi:https://doi.org/10.1007/s11071-013-1157-4)
Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2013) Global stability and sliding bifurcations of a non-smooth Gause predator–prey system. Applied Mathematics and Computation, 224. pp. 9-20. ISSN 0096-3003 (doi:https://doi.org/10.1016/j.amc.2013.08.024)
reproduction number
Tang, Sanyi, Xiao, Yanni, Yuan, Lin, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2012) Campus quarantine (Fengxiao) for curbing emergent infectious diseases: Lessons from mitigating A/H1N1 in Xi'an, China. Journal of Theoretical Biology, 295. pp. 47-58. ISSN 0022-5193 (doi:https://doi.org/10.1016/j.jtbi.2011.10.035)
Tang, Sanyi, Xiao, Yanni, Yuan, Lin, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wu, Jianhong (2012) Campus quarantine (Fengxiao) for curbing emergent infectious diseases: lessons from mitigating A/H1N1 in Xi’an, China. Journal of Theoretical Biology, 295. pp. 47-58. ISSN 0022-5193 (doi:https://doi.org/10.1016/j.jtbi.2011.10.035)
residual effect of pesticide
Liang, Juhua, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2012) An integrated pest management model with delayed responses to pesticide applications and its threshold dynamics. Nonlinear Analysis: Real World Applications, 13 (5). pp. 2352-2374. ISSN 1468-1218 (doi:https://doi.org/10.1016/j.nonrwa.2012.02.003)
residual effects of pesticides
Tang, Sanyi, Liang, Juhua, Tan, Yuanshun and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2011) Threshold conditions for integrated pest management models with pesticides that have residual effects. Journal of Mathematical Biology, 66 (1-2). pp. 1-35. ISSN 0303-6812 (Print), 1432-1416 (Online) (doi:https://doi.org/10.1007/s00285-011-0501-x)
resistance
Liang, Juhua, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2018) A discrete host-parasitoid model with development of pesticide resistance and IPM strategies. Journal of Biological Dynamics, 12 (1). pp. 1059-1078. ISSN 1751-3758 (Print), 1751-3766 (Online) (doi:https://doi.org/10.1080/17513758.2018.1556351)
resource limitation
Qin, Wenjie, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2014) The effects of resource limitation on a predator-prey model with control measures as nonlinear pulses. Mathematical Problems in Engineering, 2014:450935. ISSN 1024-123X (Print), 1563-5147 (Online) (doi:https://doi.org/10.1155/2014/450935)
respiratory disease
He, Sha, Tang, Sanyi, Zhang, Qimin, Rong, Libin and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) Modelling optimal control of air pollution to reduce respiratory diseases. Applied Mathematics and Computation, 458:128223. ISSN 0096-3003 (Print), 1873-5649 (Online) (doi:https://doi.org/10.1016/j.amc.2023.128223)
Ricker equation
Tang, Sanyi, Liang, Juhua, Xiang, Changcheng, Xiao, Yanni, Wang, Xia, Wu, Jianhong, Li, Guoping and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) A general model of hormesis in biological systems and its application to pest management. Journal of the Royal Society - Interface, 16 (157):20190468. pp. 1-11. ISSN 1742-5689 (Print), 1742-5662 (Online) (doi:https://doi.org/10.1098/rsif.2019.0468)
ricker model
Yan, Dingding, He, Mengqi, Cheke, Robert ORCID: 0000-0002-7437-1934 , Zhang, Qianqian and Tang, Sanyi (2024) A stochastic hormesis Ricker model and its application to multiple fields. Chaos, Solitons and Fractals, 185:115131. pp. 1-13. ISSN 0960-0779 (Print), 1873-2887 (Online) (doi:https://doi.org/10.1016/j.chaos.2024.115131)
Runs on medical resources
Wang, Xia, Li, Qian, He, Sha, Fan, Xia, Song, Pengfei, Shao, Yiming, Wu, Jianhong, Cheke, Robert ORCID: 0000-0002-7437-1934 , Tang, Sanyi and Xiao, Yanni (2021) Effects of medical resource capacities and intensities of public mitigation measures on outcomes of COVID-19 outbreaks. BMC Public Health, 21:605. pp. 1-11. ISSN 1471-2458 (Online) (doi:https://doi.org/10.1186/s12889-021-10657-4)
Schistocerca gregaria
Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Tang, Sanyi and Tratalos, Jamie A. (2014) Predator–prey population models of migrant insects with phase change. ICES Journal of Marine Science, 71 (8). pp. 2221-2230. ISSN 1054-3139 (Print), 1095-9289 (Online) (doi:https://doi.org/10.1093/icesjms/fst150)
seasonal environments
Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Xiao, Yanni (2006) Optimal impulsive harvesting on non-autonomous Beverton-Holt difference equations. Nonlinear Analysis: Theory, Methods & Applications, 65 (12). pp. 2311-2341. ISSN 0362-546X (doi:https://doi.org/10.1016/j.na.2006.02.049)
secondary outbreak
Yang, Jie, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2021) Impacts of varying strengths of intervention measures on secondary outbreaks of COVID-19 in two different regions. Nonlinear Dynamics, 104 (1). pp. 863-882. ISSN 0924-090X (Print), 1573-269X (Online) (doi:https://doi.org/10.1007/s11071-021-06294-6)
semi-stochastic simulation
Xiao, Yanni, Xiang, Changcheng, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2020) Coupling the macroscale to the microscale in a spatiotemporal context to examine effects of spatial diffusion on disease transmission. Bulletin of Mathematical Biology, 82:58. ISSN 0092-8240 (Print), 1522-9602 (Online) (doi:https://doi.org/10.1007/s11538-020-00736-9)
sensitivity analysis
Zhou, Weike, Wang, Aili, Wang, Xia, Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Xiao, Yanni and Tang, Sanyi (2020) Impact of hospital bed shortages on the containment of COVID-19 in Wuhan. International Journal of Environmental Research and Public Health, 17 (22):8560. ISSN 1661-7827 (Print), 1660-4601 (Online) (doi:https://doi.org/10.3390/ijerph17228560)
Shanghai
Tang, Biao, Ma, Kexin, Liu, Yan, Wang, Xia, Tang, Sanyi, Xiao, Yanni and Cheke, Robert ORCID: 0000-0002-7437-1934 (2024) Managing spatio-temporal heterogeneity of susceptibles by embedding it into an homogeneous model: a mechanistic and deep learning study. PLoS Computational Biology, 20 (9):e1012497. ISSN 1553-734X (doi:https://doi.org/10.1371/journal.pcbi.1012497)
Short-term forecast
Wang, Xia, Tang, Sanyi, Wu, Jianhong, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) A combination of climatic conditions determines major within-season dengue outbreaks in Guangdong Province, China. Parasites & Vectors, 12 (45). ISSN 1756-3305 (doi:https://doi.org/10.1186/s13071-019-3295-0)
SIR
Qin, Wenjie, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2013) Nonlinear pulse vaccination in an SIR epidemic model with resource limitation. Abstract and Applied Analysis, 2013:670263. ISSN 1085-3375 (Print), 1687-0409 (Online) (doi:https://doi.org/10.1155/2013/670263)
SIR model
Cheng, Tianyu, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Threshold dynamics and bifurcation of a state-dependent feedback nonlinear control SIR model. Journal of Computational and Nonlinear Dynamics, 14 (7). ISSN 1555-1415 (Print), 1555-1423 (Online) (doi:https://doi.org/10.1115/1.4043001)
SIRV
Yan, Quinling, Cheke, Robert ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2022) Coupling an individual adaptive-decision model with a SIRV model of influenza vaccination reveals new insights for epidemic control. Statistics in Medicine, 42 (5). pp. 716-729. ISSN 0277-6715 (Print), 1097-0258 (Online) (doi:https://doi.org/10.1002/sim.9639)
sliding bifurcation
Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2015) Modelling the regulatory system for diabetes mellitus with a threshold window. Communications in Nonlinear Science and Numerical Simulation, 22 (1-3). pp. 478-491. ISSN 1007-5704 (doi:https://doi.org/10.1016/j.cnsns.2014.08.012)
Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2013) Global stability and sliding bifurcations of a non-smooth Gause predator–prey system. Applied Mathematics and Computation, 224. pp. 9-20. ISSN 0096-3003 (doi:https://doi.org/10.1016/j.amc.2013.08.024)
Tang, Sanyi, Liang, Juhua, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2012) Sliding bifurcations of Filippov two stage pest control models with economic thresholds. SIAM Journal on Applied Mathematics, 72 (4). pp. 1061-1080. ISSN 0036-1399 (Print), 1095-712X (Online) (doi:https://doi.org/10.1137/110847020)
sliding homoclinic orbit
Tang, Sanyi, Liang, Juhua, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2012) Sliding bifurcations of Filippov two stage pest control models with economic thresholds. SIAM Journal on Applied Mathematics, 72 (4). pp. 1061-1080. ISSN 0036-1399 (Print), 1095-712X (Online) (doi:https://doi.org/10.1137/110847020)
SOI
Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Young, Stephen, Wang, Xia, Tratalos, Jamie A., Tang, Sanyi and Cressman, Keith (2020) Evidence for a causal relationship between the solar cycle and locust abundance. Agronomy, 11 (1):69. pp. 1-22. ISSN 2073-4395 (Online) (doi:https://doi.org/10.3390/agronomy11010069)
spatial heterogeneity
Song, Liwen, Tang, Sanyi, Xiang, Changcheng, Cheke, Robert ORCID: 0000-0002-7437-1934 and He, Sha (2023) Modelling and bifurcation analysis of spatiotemporal hormetic effects on pest control. Chaos, Solitons and Fractals, 177:114194. pp. 1-16. ISSN 0960-0779 (Print), 1873-2887 (Online) (doi:https://doi.org/10.1016/j.chaos.2023.114194)
Yuan, Baoyin, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2015) Duality in phase space and complex dynamics of an integrated pest management network model. International Journal of Bifurcation and Chaos (ijbc), 25 (8):1550103. pp. 1-17. ISSN 0218-1274 (Print), 1793-6551 (Online) (doi:https://doi.org/10.1142/S0218127415501035)
spectral analysis
Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Young, Stephen, Wang, Xia, Tratalos, Jamie A., Tang, Sanyi and Cressman, Keith (2020) Evidence for a causal relationship between the solar cycle and locust abundance. Agronomy, 11 (1):69. pp. 1-22. ISSN 2073-4395 (Online) (doi:https://doi.org/10.3390/agronomy11010069)
spectral coherence
Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Young, Stephen, Wang, Xia, Tratalos, Jamie A., Tang, Sanyi and Cressman, Keith (2020) Evidence for a causal relationship between the solar cycle and locust abundance. Agronomy, 11 (1):69. pp. 1-22. ISSN 2073-4395 (Online) (doi:https://doi.org/10.3390/agronomy11010069)
Spodoptera exempta
Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Tang, Sanyi and Tratalos, Jamie A. (2014) Predator–prey population models of migrant insects with phase change. ICES Journal of Marine Science, 71 (8). pp. 2221-2230. ISSN 1054-3139 (Print), 1095-9289 (Online) (doi:https://doi.org/10.1093/icesjms/fst150)
stability
Tang, Sanyi, Liang, Juhua, Xiang, Changcheng, Xiao, Yanni, Wang, Xia, Wu, Jianhong, Li, Guoping and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) A general model of hormesis in biological systems and its application to pest management. Journal of the Royal Society - Interface, 16 (157):20190468. pp. 1-11. ISSN 1742-5689 (Print), 1742-5662 (Online) (doi:https://doi.org/10.1098/rsif.2019.0468)
Stable switching transient
Xiang, Changcheng, Tang, Sanyi, Cheke, Robert ORCID: 0000-0002-7437-1934 and Qin, Wenjie (2016) A locust phase change model with multiple switching states and random perturbation. International Journal of Bifurcation and Chaos (ijbc), 26 (13):1630037. pp. 1-17. ISSN 0218-1274 (Print), 1793-6551 (Online) (doi:https://doi.org/10.1142/S0218127416300378)
stage structure
Tang, Sanyi, Liang, Juhua, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2012) Sliding bifurcations of Filippov two stage pest control models with economic thresholds. SIAM Journal on Applied Mathematics, 72 (4). pp. 1061-1080. ISSN 0036-1399 (Print), 1095-712X (Online) (doi:https://doi.org/10.1137/110847020)
state-dependent feedback control
Tang, Biao, Xiao, Yanni, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2016) A feedback control model of immunogenic tumours with comprehensive therapy. International Journal of Bifurcation and Chaos, 26 (3):1650039. pp. 1-22. ISSN 0218-1274 (doi:https://doi.org/10.1142/S0218127416500395)
step-by-step NPI release strategy
Wang, Hao, Li, Tangjuan, Gao, Huan, Huang, Chenxi, Tang, Biao, Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Zhou, Weike (2023) Lessons drawn from Shanghai for controlling highly transmissible SARS‑CoV‑2 variants: insights from a modelling study. BMC Infectious Diseases, 23:331. ISSN 1471-2334 (Online) (doi:https://doi.org/10.1186/s12879-023-08316-7)
stochastic difference model
He, Sha, Yan, Dingding, Shu, Hongying, Tang, Sanyi, Wang, Xia and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) Randomness accelerates the dynamic clearing process of the COVID-19 outbreaks in China. Mathematical Biosciences, 363:109055. ISSN 0025-5564 (Print), 1879-3134 (Online) (doi:https://doi.org/10.1016/j.mbs.2023.109055)
stochastic discrete model
Yang, Jie, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2021) Impacts of varying strengths of intervention measures on secondary outbreaks of COVID-19 in two different regions. Nonlinear Dynamics, 104 (1). pp. 863-882. ISSN 0924-090X (Print), 1573-269X (Online) (doi:https://doi.org/10.1007/s11071-021-06294-6)
stochastic logistic equation
Tan, Yi, Ning, Lijuan, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Optimal threshold density in a stochastic resource management model with pulse intervention. Natural Resource Modeling, 32 (4):e12220. ISSN 0890-8575 (Print), 1939-7445 (Online) (doi:https://doi.org/10.1111/nrm.12220)
stochastic model
He, Sha, Tang, Sanyi, Zhang, Qimin, Rong, Libin and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) Modelling optimal control of air pollution to reduce respiratory diseases. Applied Mathematics and Computation, 458:128223. ISSN 0096-3003 (Print), 1873-5649 (Online) (doi:https://doi.org/10.1016/j.amc.2023.128223)
strong and weak density dependent death rates
Zhang, Xianghong, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2015) Birth-pulse models of Wolbachia-induced cytoplasmic incompatibility in mosquitoes for dengue virus control. Nonlinear Analysis: Real World Applications, 22. pp. 236-258. ISSN 1468-1218 (doi:https://doi.org/10.1016/j.nonrwa.2014.09.004)
structured prevention and control interruptions
Zhou, Hao, Sha, He, Cheke, Robert ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2024) Model analysis and data validation of structured prevention and control interruptions of emerging infectious diseases. Journal of Mathematical Biology, 88:62. pp. 1-34. ISSN 0303-6812 (Print), 1432-1416 (Online) (doi:https://doi.org/10.1007/s00285-024-02083-y)
sunspot groups
Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Young, Stephen, Wang, Xia, Tratalos, Jamie A., Tang, Sanyi and Cressman, Keith (2020) Evidence for a causal relationship between the solar cycle and locust abundance. Agronomy, 11 (1):69. pp. 1-22. ISSN 2073-4395 (Online) (doi:https://doi.org/10.3390/agronomy11010069)
switch-like transition
Tian, Yuan, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Dynamic complexity of a predator-prey model for IPM with nonlinear impulsive control incorporating a regulatory factor for predator releases. Mathematical Modelling and Analysis, 24 (1). pp. 134-154. ISSN 1392-6292 (Print), 1648-3510 (Online) (doi:https://doi.org/10.3846/mma.2019.010)
synergy
Tang, Sanyi, Li, Shuo, Tang, Biao, Wang, Xia, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2023) Hormetic and synergistic effects of cancer treatments revealed by modelling combinations of radio ‑ or chemotherapy with immunotherapy. BMC Cancer, 23:1040. pp. 1-14. ISSN 1471-2407 (Online) (doi:https://doi.org/10.1186/s12885-023-11542-6)
temperature
Cheng, Qu, Liu, Yan, Wang, Xia, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) The relative importance of key meteorological factors affecting numbers of mosquito vectors of dengue fever. PLoS Neglected Tropical Diseases, 17 (4):e0011247. pp. 1-21. ISSN 1935-2727 (Print), 1935-2735 (Online) (doi:https://doi.org/10.1371/journal.pntd.0011247)
Wang, Xia, Tang, Sanyi, Wu, Jianhong, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) A combination of climatic conditions determines major within-season dengue outbreaks in Guangdong Province, China. Parasites & Vectors, 12 (45). ISSN 1756-3305 (doi:https://doi.org/10.1186/s13071-019-3295-0)
threshold
Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2015) Modelling pulsed immunotherapy of tumour–immune interaction. Mathematics and Computers in Simulation, 109. pp. 92-112. ISSN 0378-4754 (doi:https://doi.org/10.1016/j.matcom.2014.09.001)
Qin, Wenjie, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2014) The effects of resource limitation on a predator-prey model with control measures as nonlinear pulses. Mathematical Problems in Engineering, 2014:450935. ISSN 1024-123X (Print), 1563-5147 (Online) (doi:https://doi.org/10.1155/2014/450935)
Threshold condition
Li, Changtong, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2020) Complex dynamics and coexistence of period-doubling and period-halving bifurcations in an integrated pest management model with nonlinear impulsive control. Advances in Difference Equations:514. pp. 1-23. ISSN 1687-1839 (Print), 1687-1847 (Online) (doi:https://doi.org/10.1186/s13662-020-02971-9)
Liang, Juhua, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2016) Beverton-Holt discrete pest management models with pulsed chemical control and evolution of pesticide resistance. Communications in Nonlinear Science and Numerical Simulation, 36. pp. 327-341. ISSN 1007-5704 (Print), 1878-7274 (Online) (doi:https://doi.org/10.1016/j.cnsns.2015.12.014)
Liang, Juhua, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2012) An integrated pest management model with delayed responses to pesticide applications and its threshold dynamics. Nonlinear Analysis: Real World Applications, 13 (5). pp. 2352-2374. ISSN 1468-1218 (doi:https://doi.org/10.1016/j.nonrwa.2012.02.003)
threshold policy
Xiao, Yanni, Xiang, Changcheng, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2020) Coupling the macroscale to the microscale in a spatiotemporal context to examine effects of spatial diffusion on disease transmission. Bulletin of Mathematical Biology, 82:58. ISSN 0092-8240 (Print), 1522-9602 (Online) (doi:https://doi.org/10.1007/s11538-020-00736-9)
time-lags
Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Tang, Sanyi and Tratalos, Jamie A. (2014) Predator–prey population models of migrant insects with phase change. ICES Journal of Marine Science, 71 (8). pp. 2221-2230. ISSN 1054-3139 (Print), 1095-9289 (Online) (doi:https://doi.org/10.1093/icesjms/fst150)
tracking quarantine measures
Yang, Jie, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2021) Impacts of varying strengths of intervention measures on secondary outbreaks of COVID-19 in two different regions. Nonlinear Dynamics, 104 (1). pp. 863-882. ISSN 0924-090X (Print), 1573-269X (Online) (doi:https://doi.org/10.1007/s11071-021-06294-6)
Transcritical and pitchfork bifurcations
Cheng, Tianyu, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Threshold dynamics and bifurcation of a state-dependent feedback nonlinear control SIR model. Journal of Computational and Nonlinear Dynamics, 14 (7). ISSN 1555-1415 (Print), 1555-1423 (Online) (doi:https://doi.org/10.1115/1.4043001)
transmission model
Zhou, Weike, Wang, Aili, Wang, Xia, Cheke, Robert A. ORCID: 0000-0002-7437-1934 , Xiao, Yanni and Tang, Sanyi (2020) Impact of hospital bed shortages on the containment of COVID-19 in Wuhan. International Journal of Environmental Research and Public Health, 17 (22):8560. ISSN 1661-7827 (Print), 1660-4601 (Online) (doi:https://doi.org/10.3390/ijerph17228560)
tumour
Tang, Sanyi, Li, Shuo, Tang, Biao, Wang, Xia, Xiao, Yanni and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2023) Hormetic and synergistic effects of cancer treatments revealed by modelling combinations of radio ‑ or chemotherapy with immunotherapy. BMC Cancer, 23:1040. pp. 1-14. ISSN 1471-2407 (Online) (doi:https://doi.org/10.1186/s12885-023-11542-6)
Tumour cell
Tang, Biao, Xiao, Yanni, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2016) A feedback control model of immunogenic tumours with comprehensive therapy. International Journal of Bifurcation and Chaos, 26 (3):1650039. pp. 1-22. ISSN 0218-1274 (doi:https://doi.org/10.1142/S0218127416500395)
uniqueness
Tang, Guangyao, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2014) Global analysis of a Holling type II predator–prey model with a constant prey refuge. Nonlinear Dynamics, 76 (1). pp. 635-647. ISSN 0924-090X (Print), 1573-269X (Online) (doi:https://doi.org/10.1007/s11071-013-1157-4)
vaccination
Yan, Quinling, Cheke, Robert ORCID: 0000-0002-7437-1934 and Tang, Sanyi (2022) Coupling an individual adaptive-decision model with a SIRV model of influenza vaccination reveals new insights for epidemic control. Statistics in Medicine, 42 (5). pp. 716-729. ISSN 0277-6715 (Print), 1097-0258 (Online) (doi:https://doi.org/10.1002/sim.9639)
Qin, Wenjie, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2013) Nonlinear pulse vaccination in an SIR epidemic model with resource limitation. Abstract and Applied Analysis, 2013:670263. ISSN 1085-3375 (Print), 1687-0409 (Online) (doi:https://doi.org/10.1155/2013/670263)
vaccination strategy
Wu, YuanYuan, Zhou, Weike, Tang, Sanyi, Cheke, Robert ORCID: 0000-0002-7437-1934 and Wang, Xia (2023) Prediction of the next major outbreak of COVID-19 in Mainland China and a vaccination strategy for it. Royal Society Open Science, 10:230655. pp. 1-14. ISSN 2054-5703 (Online) (doi:https://doi.org/10.1098/rsos.230655)
Vector-borne disease
Wang, Xia, Tang, Sanyi and Cheke, Robert ORCID: 0000-0002-7437-1934 (2016) A stage structured mosquito model incorporating effects of precipitation and daily temperature fluctuations. Journal of Theoretical Biology, 411. pp. 27-36. ISSN 0022-5193 (doi:https://doi.org/10.1016/j.jtbi.2016.09.015)
Volterra’s principle
Tang, Sanyi, Liang, Juhua, Tan, Yuanshun and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2011) Threshold conditions for integrated pest management models with pesticides that have residual effects. Journal of Mathematical Biology, 66 (1-2). pp. 1-35. ISSN 0303-6812 (Print), 1432-1416 (Online) (doi:https://doi.org/10.1007/s00285-011-0501-x)
Wolbachia
Zhang, Xianghong, Tang, Sanyi, Liu, Qiyong, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Zhu, Huaiping (2018) Models to assess the effects of non-identical sex ratio augmentations of Wolbachia-carrying mosquitoes on the control of dengue disease. Mathematical Biosciences, 299. pp. 58-72. ISSN 0025-5564 (doi:https://doi.org/10.1016/j.mbs.2018.03.003)
Zhang, Xianghong, Tang, Sanyi and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2015) Birth-pulse models of Wolbachia-induced cytoplasmic incompatibility in mosquitoes for dengue virus control. Nonlinear Analysis: Real World Applications, 22. pp. 236-258. ISSN 1468-1218 (doi:https://doi.org/10.1016/j.nonrwa.2014.09.004)
Wolbachia-infected mosquitoes
Zhang, Xianghong, Tang, Sanyi, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Zhu, Huaiping (2016) Modeling the effects of augmentation strategies on the control of Dengue fever with an impulsive differential equation. Bulletin of Mathematical Biology, 78 (10). pp. 1968-2010. ISSN 0092-8240 (Print), 1522-9602 (Online) (doi:https://doi.org/10.1007/s11538-016-0208-7)