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Items where Author is "Tang, Sanyi "

Items where Author is "Tang, Sanyi "

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A/H1N1influenza adaptive-decision model Aedes aedes albopictus age-structured model air pollution Air pollution · Stochastic differential equation · Change point · Respiratory infection · Intervention measures Apolygus lucorum armyworm attractor augmentation Augmentation order Augmentation quantity Augmentation times Backward bifurcation Beverton-Holt equations Beverton–Holt model Bi-threshold value Bifurcation biological control birth-pulse Bistability blood glucose level Breteau index Canard cycle cancer change point Chaos China city-based pattern Climate factors Cluster oscillation coexistence combined therapy complex dynamics Control reproduction number convergence cross mapping COVID-19 COVID-19 outbreak critical coverage rate Critical glucose threshold cultural control Cumulative effect cumulative number of deaths curve fitting cytoplasmic incompatibility data analysis data fitting data validation delayed response to pesticide application dengue Dengue disease Dengue fever Desert Locust Schistocerca gregaria (Forskål 1775) Diabetes discrete Euler-Lagrange equation Discrete model Discrete switching system Disease free periodic solution Dispersal district-based pattern dose-response curves Duality duration Dynamic complexity dynamic delayed Ricker difference model (DRDM) dynamic threshold Ecological paradox economic threshold effective reproduction number Effective reproductive number emerging infectious diseases ENSO epidemic waves Epidemiology Evolution extended Ricker model fengxiao Filippov system fishing time Fitness effects frequency of pesticide applications global analysis global stability Glucose infusion glucose-insulin model Glucose-insulin system Holling type II predator-prey model Holling’s disc equation hormesis hormetic effects hospital beds host outbreak host-parasitoid model host–parasitoid model host–parasitoid ratio immune response curve immunity waning immunotherapy impulsive difference equations impulsive harvesting impulsive set influenza-like illness (ILI) initial density inoculative releases Insulin injection insulin therapy integrated pest management integro-difference equation Inter-country comparisons intergrated pest management Intervention Intervention timing IOD IPM Kalman filter limit cycle Lockdown locust mathematical model Mathematical modeling mathematical modelling maximal biomass expectation maximum sustainable yield mean first passage time mitigation mixed response curve model Mosquito augmentation Multi-scale model multiple peaks Multiple pesticide applications multiscale model NAO natural enemies natural enemy newly reported cases Nicholson-Bailey model Non-overlapping generation non-pharmaceutical interventions nonlinear control action Nonlinear control · Poincarémap · Order-1 periodic solution · Global stability · Pest control Nonlinear impulsive nonlinear pulse nonsmooth predator–prey model Nontrivial periodic solution optimal control optimal strategy optimal threshold density optimum timing order-k periodic solution Oriental Migratory Locust Locusta migratoria manilensis (Meyen 1835) outbreak frequency outbreak peaking times outbreaks Pandemic pandemic A/H1N1 influenza Paradox periodic solution pest pest control pest free periodic solution pest management Pest resistance pest-free periodic solution pest-natural enemy system Pesticide application frequency Pesticide application period Pesticide switches Pesticide switching Phase change phase set planar impulsive semi-dynamical system plant disease Poincare map Poincaré map polyphenism Precipitation predation predator–prey model Prediction pulse pulse perturbation Pulse spraying radio-chemotherapy response curve rainfall random perturbation refuge reproduction number residual effect of pesticide residual effects of pesticides resistance resource limitation respiratory disease Ricker equation Runs on medical resources Schistocerca gregaria seasonal environments secondary outbreak semi-stochastic simulation sensitivity analysis Short-term forecast SIR SIR model SIRV sliding bifurcation sliding homoclinic orbit SOI spatial heterogeneity spectral analysis spectral coherence Spodoptera exempta stability Stable switching transient stage structure state-dependent feedback control step-by-step NPI release strategy stochastic difference model stochastic discrete model stochastic logistic equation stochastic model strong and weak density dependent death rates structured prevention and control interruptions sunspot groups switch-like transition synergy temperature threshold Threshold condition threshold policy time-lags tracking quarantine measures Transcritical and pitchfork bifurcations transmission model tumour Tumour cell uniqueness vaccination vaccination strategy Vector-borne disease Volterra’s principle Wolbachia Wolbachia-infected mosquitoes
Number of items: 318.

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

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)

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

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 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 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

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)

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)

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 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 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)

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

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)

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)

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)

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)

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)

This list was generated on Thu Apr 25 00:28:32 2024 UTC.