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Items where Author is "Tang, Sanyi "

Items where Author is "Tang, Sanyi "

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A/H1N1influenza 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 Chaos Climate factors Cluster oscillation coexistence combined therapy complex dynamics Critical glucose threshold cultural control Cumulative effect cumulative number of deaths cytoplasmic incompatibility delayed response to pesticide application Dengue disease Dengue fever Diabetes discrete Euler-Lagrange equation Discrete model Discrete switching system Dispersal Duality duration Dynamic complexity dynamic threshold economic threshold epidemiology Evolution fengxiao Filippov system 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 host outbreak host–parasitoid model host–parasitoid ratio immunotherapy impulsive difference equations impulsive harvesting impulsive set initial density inoculative releases Insulin injection insulin therapy integrated pest management Intervention IPM limit cycle locust Mathematical modeling mathematical modelling maximum sustainable yield model Mosquito augmentation Multiple pesticide applications natural enemies natural enemy Nicholson-Bailey model Non-overlapping generation nonlinear pulse nonsmooth predator–prey model optimum timing order-k periodic solution outbreak frequency outbreak peaking times pandemic pandemic A/H1N1 influenza Paradox periodic solution pest pest control 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 predation predator–prey model pulse Pulse spraying Random perturbation refuge reproduction number residual effect of pesticide residual effects of pesticides resource limitation Schistocerca gregaria seasonal environments SIR sliding bifurcation sliding homoclinic orbit Spatial heterogeneity Spodoptera exempta Stable switching transient stage structure state-dependent feedback control strong and weak density dependent death rates threshold Threshold condition time-lags Tumour cell uniqueness vaccination Vector-borne disease Volterra’s principle Wolbachia Wolbachia-infected mosquitoes
Number of items: 181.

A/H1N1influenza

Tang, Sanyi, Xiao, Yanni, Yuan, Lin, Cheke, Robert A. 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:10.1016/j.jtbi.2011.10.035)

armyworm

Cheke, Robert A., 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:10.1093/icesjms/fst150)

attractor

Cheke, Robert A., 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:10.1093/icesjms/fst150)

augmentation

Tang, Sanyi, Tang, Guangyao and Cheke, Robert A. (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:10.1016/j.jtbi.2010.02.034)

Augmentation order

Zhang, X, Tang, Sanyi and Cheke, Robert (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:10.1016/j.mbs.2015.09.004)

Augmentation quantity

Zhang, X, Tang, Sanyi and Cheke, Robert (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:10.1016/j.mbs.2015.09.004)

Augmentation times

Zhang, X, Tang, Sanyi and Cheke, Robert (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:10.1016/j.mbs.2015.09.004)

Backward bifurcation

Zhang, Xianghong, Tang, Sanyi, Liu, Qiyong, Cheke, Robert A. 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:10.1016/j.mbs.2018.03.003)

Zhang, X, Tang, Sanyi and Cheke, Robert (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:10.1016/j.mbs.2015.09.004)

Beverton-Holt equations

Tang, Sanyi, Cheke, Robert A. 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:10.1016/j.na.2006.02.049)

Beverton–Holt model

Wang, Xia, Xu, Zihui, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.chaos.2017.04.030)

Bi-threshold value

Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. (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:10.1016/j.matcom.2009.10.004)

Bifurcation

Zhang, Xianghong, Tang, Sanyi, Cheke, Robert A. 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:10.1007/s11538-016-0208-7)

Cheke, Robert A., 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:10.1093/icesjms/fst150)

biological control

Liang, Juhua, Tang, Sanyi, Cheke, Robert A. and Wu, Jianhong (2015) 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:10.1016/j.jmaa.2014.09.048)

Liang, Juhua, Tang, Sanyi, Cheke, Robert A. 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:10.1007/s11538-013-9886-6)

Tang, Sanyi, Cheke, Robert A. 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:10.1007/s11538-009-9438-2)

birth-pulse

Zhang, Xianghong, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.nonrwa.2014.09.004)

Bistability

Xiang, Changcheng, Tang, Sanyi, Cheke, Robert 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:10.1142/S0218127416300378)

blood glucose level

Yang, Jin, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.cnsns.2014.08.012)

Breteau index

Wang, Xia, Tang, Sanyi and Cheke, Robert (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:10.1016/j.jtbi.2016.09.015)

Canard cycle

Yang, Jin, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.amc.2013.08.024)

cancer

Yang, Jin, Tang, Sanyi and Cheke, Robert A. (2015) Modelling pulsed immunotherapy of tumour-immune interaction. Mathematics and Computers in Simulation, 109. pp. 92-112. ISSN 0378-4754 (doi:/10.1016/j.matcom.2014.09.001)

Yang, Jin, Tang, Sanyi and Cheke, Robert A. (2015) Modelling pulsed immunotherapy of tumour–immune interaction. Mathematics and Computers in Simulation, 109. pp. 92-112. ISSN 0378-4754 (doi:10.1016/j.matcom.2014.09.001)

Chaos

Yuan, Baoyin, Tang, Sanyi and Cheke, Robert (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:10.1142/S0218127415501035)

Climate factors

Wang, Xia, Tang, Sanyi and Cheke, Robert (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:10.1016/j.jtbi.2016.09.015)

Cluster oscillation

Yuan, Baoyin, Tang, Sanyi and Cheke, Robert (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:10.1142/S0218127415501035)

coexistence

Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. (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:10.1016/j.tpb.2007.12.001)

combined therapy

Yang, Jin, Tang, Sanyi and Cheke, Robert A. (2015) Modelling pulsed immunotherapy of tumour-immune interaction. Mathematics and Computers in Simulation, 109. pp. 92-112. ISSN 0378-4754 (doi:/10.1016/j.matcom.2014.09.001)

Yang, Jin, Tang, Sanyi and Cheke, Robert A. (2015) Modelling pulsed immunotherapy of tumour–immune interaction. Mathematics and Computers in Simulation, 109. pp. 92-112. ISSN 0378-4754 (doi:10.1016/j.matcom.2014.09.001)

complex dynamics

Qin, Wenjie, Tang, Sanyi and Cheke, Robert A. (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:10.1155/2014/450935)

Critical glucose threshold

Yang, Jin, Tang, Sanyi and Cheke, Robert (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:10.1016/j.cnsns.2016.02.001)

cultural control

Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. (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:10.1016/j.matcom.2009.10.004)

Cumulative effect

Wang, Xia, Xu, Zihui, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.chaos.2017.04.030)

cumulative number of deaths

Liang, Juhua, Tang, Sanyi, Cheke, Robert A. 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:10.1007/s11538-013-9886-6)

cytoplasmic incompatibility

Zhang, Xianghong, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.nonrwa.2014.09.004)

delayed response to pesticide application

Liang, Juhua, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.nonrwa.2012.02.003)

Dengue disease

Zhang, Xianghong, Tang, Sanyi, Liu, Qiyong, Cheke, Robert A. 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:10.1016/j.mbs.2018.03.003)

Dengue fever

Zhang, Xianghong, Tang, Sanyi, Cheke, Robert A. 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:10.1007/s11538-016-0208-7)

Zhang, Xianghong, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.nonrwa.2014.09.004)

Diabetes

Yang, Jin, Tang, Sanyi and Cheke, Robert (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:10.1016/j.cnsns.2016.02.001)

discrete Euler-Lagrange equation

Tang, Sanyi, Cheke, Robert A. 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:10.1016/j.na.2006.02.049)

Discrete model

Liang, Juhua, Tang, Sanyi and Cheke, Robert (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:10.1016/j.cnsns.2015.12.014)

Discrete switching system

Xiang, Changcheng, Tang, Sanyi, Cheke, Robert 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:10.1142/S0218127416300378)

Dispersal

Yuan, Baoyin, Tang, Sanyi and Cheke, Robert (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:10.1142/S0218127415501035)

Tang, Sanyi, Cheke, Robert A. 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:10.1007/s11538-009-9438-2)

Duality

Yuan, Baoyin, Tang, Sanyi and Cheke, Robert (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:10.1142/S0218127415501035)

duration

Yang, Jin, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.cnsns.2014.08.012)

Dynamic complexity

Liang, Juhua, Tang, Sanyi and Cheke, Robert (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:10.1016/j.cnsns.2015.12.014)

dynamic threshold

Liang, Juhua, Tang, Sanyi, Cheke, Robert A. and Wu, Jianhong (2015) 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:10.1016/j.jmaa.2014.09.048)

Liang, Juhua, Tang, Sanyi, Cheke, Robert A. 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:10.1007/s11538-013-9886-6)

Liang, Juhua, Tang, Sanyi, Nieto, Juan J. and Cheke, Robert A. (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:10.1016/j.mbs.2013.07.008)

economic threshold

Liang, Juhua, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.nonrwa.2012.02.003)

Tang, Sanyi, Liang, Juhua, Xiao, Yanni and Cheke, Robert A. (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:10.1137/110847020)

Tang, Sanyi, Tang, Guangyao and Cheke, Robert A. (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:10.1016/j.jtbi.2010.02.034)

Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. (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:10.1016/j.matcom.2009.10.004)

Tang, Sanyi and Cheke, Robert A. (2008) Models for integrated pest control and their biological implications. Mathematical Biosciences, 215 (1). pp. 115-125. ISSN 0025-5564 (doi:10.1016/j.mbs.2008.06.008)

Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. (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:10.1016/j.tpb.2007.12.001)

epidemiology

Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. (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:10.1016/j.matcom.2009.10.004)

Evolution

Liang, Juhua, Tang, Sanyi, Nieto, Juan J. and Cheke, Robert A. (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:10.1016/j.mbs.2013.07.008)

fengxiao

Tang, Sanyi, Xiao, Yanni, Yuan, Lin, Cheke, Robert A. 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:10.1016/j.jtbi.2011.10.035)

Tang, Sanyi, Xiao, Yanni, Yuan, Lin, Cheke, Robert A. 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:10.1016/j.jtbi.2011.10.035)

Filippov system

Yang, Jin, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.amc.2013.08.024)

Tang, Sanyi, Liang, Juhua, Xiao, Yanni and Cheke, Robert A. (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:10.1137/110847020)

Fitness effects

Zhang, X, Tang, Sanyi and Cheke, Robert (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:10.1016/j.mbs.2015.09.004)

frequency of pesticide applications

Liang, Juhua, Tang, Sanyi, Cheke, Robert A. 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:10.1007/s11538-013-9886-6)

global analysis

Tang, Guangyao, Tang, Sanyi and Cheke, Robert A. (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:10.1007/s11071-013-1157-4)

global stability

Tang, Sanyi, Pang, Wenhong, Cheke, Robert 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:10.1186/s13662-015-0661-x)

Glucose infusion

Yang, Jin, Tang, Sanyi and Cheke, Robert (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:10.1016/j.cnsns.2016.02.001)

glucose-insulin model

Yang, Jin, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.cnsns.2014.08.012)

Glucose-insulin system

Yang, Jin, Tang, Sanyi and Cheke, Robert (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:10.1016/j.cnsns.2016.02.001)

Holling type II predator-prey model

Qin, Wenjie, Tang, Sanyi and Cheke, Robert A. (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:10.1155/2014/450935)

Holling’s disc equation

Cheke, Robert A., 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:10.1093/icesjms/fst150)

host outbreak

Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. (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:10.1016/j.tpb.2007.12.001)

host–parasitoid model

Tang, Sanyi and Cheke, Robert A. (2008) Models for integrated pest control and their biological implications. Mathematical Biosciences, 215 (1). pp. 115-125. ISSN 0025-5564 (doi:10.1016/j.mbs.2008.06.008)

host–parasitoid ratio

Tang, Sanyi and Cheke, Robert A. (2008) Models for integrated pest control and their biological implications. Mathematical Biosciences, 215 (1). pp. 115-125. ISSN 0025-5564 (doi:10.1016/j.mbs.2008.06.008)

immunotherapy

Tang, Biao, Xiao, Yanni, Tang, Sanyi and Cheke, Robert (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:10.1142/S0218127416500395)

Yang, Jin, Tang, Sanyi and Cheke, Robert A. (2015) Modelling pulsed immunotherapy of tumour-immune interaction. Mathematics and Computers in Simulation, 109. pp. 92-112. ISSN 0378-4754 (doi:/10.1016/j.matcom.2014.09.001)

Yang, Jin, Tang, Sanyi and Cheke, Robert A. (2015) Modelling pulsed immunotherapy of tumour–immune interaction. Mathematics and Computers in Simulation, 109. pp. 92-112. ISSN 0378-4754 (doi:10.1016/j.matcom.2014.09.001)

impulsive difference equations

Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. (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:10.1016/j.tpb.2007.12.001)

impulsive harvesting

Tang, Sanyi, Cheke, Robert A. 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:10.1016/j.na.2006.02.049)

impulsive set

Tang, Sanyi, Pang, Wenhong, Cheke, Robert 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:10.1186/s13662-015-0661-x)

initial density

Tang, Sanyi and Cheke, Robert A. (2008) Models for integrated pest control and their biological implications. Mathematical Biosciences, 215 (1). pp. 115-125. ISSN 0025-5564 (doi:10.1016/j.mbs.2008.06.008)

inoculative releases

Liang, Juhua, Tang, Sanyi, Cheke, Robert A. and Wu, Jianhong (2015) 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:10.1016/j.jmaa.2014.09.048)

Insulin injection

Yang, Jin, Tang, Sanyi and Cheke, Robert (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:10.1016/j.cnsns.2016.02.001)

insulin therapy

Yang, Jin, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.cnsns.2014.08.012)

integrated pest management

Tang, Sanyi, Pang, Wenhong, Cheke, Robert 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:10.1186/s13662-015-0661-x)

Intervention

Wang, Xia, Tang, Sanyi and Cheke, Robert (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:10.1016/j.jtbi.2016.09.015)

IPM

Yuan, Baoyin, Tang, Sanyi and Cheke, Robert (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:10.1142/S0218127415501035)

Liang, Juhua, Tang, Sanyi, Cheke, Robert A. and Wu, Jianhong (2015) 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:10.1016/j.jmaa.2014.09.048)

Liang, Juhua, Tang, Sanyi, Cheke, Robert A. 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:10.1007/s11538-013-9886-6)

Liang, Juhua, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.nonrwa.2012.02.003)

Tang, Sanyi, Liang, Juhua, Tan, Yuanshun and Cheke, Robert A. (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:10.1007/s00285-011-0501-x)

Tang, Sanyi, Tang, Guangyao and Cheke, Robert A. (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:10.1016/j.jtbi.2010.02.034)

Tang, Sanyi and Cheke, Robert A. (2008) Models for integrated pest control and their biological implications. Mathematical Biosciences, 215 (1). pp. 115-125. ISSN 0025-5564 (doi:10.1016/j.mbs.2008.06.008)

Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. (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:10.1016/j.tpb.2007.12.001)

limit cycle

Tang, Guangyao, Tang, Sanyi and Cheke, Robert A. (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:10.1007/s11071-013-1157-4)

Yang, Jin, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.amc.2013.08.024)

locust

Cheke, Robert A., 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:10.1093/icesjms/fst150)

Mathematical modeling

Wang, Xia, Tang, Sanyi and Cheke, Robert (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:10.1016/j.jtbi.2016.09.015)

mathematical modelling

Tang, Sanyi, Xiao, Yanni, Yuan, Lin, Cheke, Robert A. 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:10.1016/j.jtbi.2011.10.035)

Tang, Sanyi, Xiao, Yanni, Yuan, Lin, Cheke, Robert A. 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:10.1016/j.jtbi.2011.10.035)

maximum sustainable yield

Tang, Sanyi, Cheke, Robert A. 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:10.1016/j.na.2006.02.049)

model

Qin, Wenjie, Tang, Sanyi and Cheke, Robert A. (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:10.1155/2013/670263)

Mosquito augmentation

Zhang, Xianghong, Tang, Sanyi, Liu, Qiyong, Cheke, Robert A. 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:10.1016/j.mbs.2018.03.003)

Zhang, Xianghong, Tang, Sanyi, Cheke, Robert A. 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:10.1007/s11538-016-0208-7)

Multiple pesticide applications

Wang, Xia, Xu, Zihui, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.chaos.2017.04.030)

natural enemies

Qin, Wenjie, Tang, Sanyi and Cheke, Robert A. (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:10.1155/2014/450935)

natural enemy

Tang, Sanyi, Cheke, Robert A. 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:10.1007/s11538-009-9438-2)

Nicholson-Bailey model

Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. (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:10.1016/j.tpb.2007.12.001)

Non-overlapping generation

Wang, Xia, Xu, Zihui, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.chaos.2017.04.030)

nonlinear pulse

Qin, Wenjie, Tang, Sanyi and Cheke, Robert A. (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:10.1155/2014/450935)

nonsmooth predator–prey model

Tang, Guangyao, Tang, Sanyi and Cheke, Robert A. (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:10.1007/s11071-013-1157-4)

optimum timing

Tang, Sanyi, Tang, Guangyao and Cheke, Robert A. (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:10.1016/j.jtbi.2010.02.034)

order-k periodic solution

Tang, Biao, Xiao, Yanni, Tang, Sanyi and Cheke, Robert (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:10.1142/S0218127416500395)

outbreak frequency

Tang, Sanyi and Cheke, Robert A. (2008) Models for integrated pest control and their biological implications. Mathematical Biosciences, 215 (1). pp. 115-125. ISSN 0025-5564 (doi:10.1016/j.mbs.2008.06.008)

outbreak peaking times

Tang, Sanyi, Xiao, Yanni, Yuan, Lin, Cheke, Robert A. 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:10.1016/j.jtbi.2011.10.035)

Tang, Sanyi, Xiao, Yanni, Yuan, Lin, Cheke, Robert A. 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:10.1016/j.jtbi.2011.10.035)

pandemic

Tang, Sanyi, Xiao, Yanni, Yuan, Lin, Cheke, Robert A. 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:10.1016/j.jtbi.2011.10.035)

pandemic A/H1N1 influenza

Tang, Sanyi, Xiao, Yanni, Yuan, Lin, Cheke, Robert A. 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:10.1016/j.jtbi.2011.10.035)

Paradox

Wang, Xia, Xu, Zihui, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.chaos.2017.04.030)

periodic solution

Yang, Jin, Tang, Sanyi and Cheke, Robert A. (2015) Modelling pulsed immunotherapy of tumour-immune interaction. Mathematics and Computers in Simulation, 109. pp. 92-112. ISSN 0378-4754 (doi:/10.1016/j.matcom.2014.09.001)

Yang, Jin, Tang, Sanyi and Cheke, Robert A. (2015) Modelling pulsed immunotherapy of tumour–immune interaction. Mathematics and Computers in Simulation, 109. pp. 92-112. ISSN 0378-4754 (doi:10.1016/j.matcom.2014.09.001)

pest

Tang, Sanyi, Cheke, Robert A. 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:10.1007/s11538-009-9438-2)

pest control

Tang, Sanyi, Liang, Juhua, Xiao, Yanni and Cheke, Robert A. (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:10.1137/110847020)

Tang, Sanyi, Liang, Juhua, Tan, Yuanshun and Cheke, Robert A. (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:10.1007/s00285-011-0501-x)

Tang, Sanyi, Tang, Guangyao and Cheke, Robert A. (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:10.1016/j.jtbi.2010.02.034)

Pest resistance

Liang, Juhua, Tang, Sanyi and Cheke, Robert (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:10.1016/j.cnsns.2015.12.014)

Liang, Juhua, Tang, Sanyi, Cheke, Robert A. and Wu, Jianhong (2015) 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:10.1016/j.jmaa.2014.09.048)

Liang, Juhua, Tang, Sanyi, Cheke, Robert A. 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:10.1007/s11538-013-9886-6)

pest-free periodic solution

Qin, Wenjie, Tang, Sanyi and Cheke, Robert A. (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:10.1155/2014/450935)

pest-natural enemy system

Tang, Sanyi, Liang, Juhua, Tan, Yuanshun and Cheke, Robert A. (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:10.1007/s00285-011-0501-x)

Pesticide application frequency

Liang, Juhua, Tang, Sanyi, Nieto, Juan J. and Cheke, Robert A. (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:10.1016/j.mbs.2013.07.008)

Pesticide application period

Liang, Juhua, Tang, Sanyi and Cheke, Robert (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:10.1016/j.cnsns.2015.12.014)

Pesticide switches

Liang, Juhua, Tang, Sanyi, Nieto, Juan J. and Cheke, Robert A. (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:10.1016/j.mbs.2013.07.008)

Pesticide switching

Liang, Juhua, Tang, Sanyi and Cheke, Robert (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:10.1016/j.cnsns.2015.12.014)

Phase change

Xiang, Changcheng, Tang, Sanyi, Cheke, Robert 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:10.1142/S0218127416300378)

phase set

Tang, Sanyi, Pang, Wenhong, Cheke, Robert 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:10.1186/s13662-015-0661-x)

planar impulsive semi-dynamical system

Tang, Sanyi, Pang, Wenhong, Cheke, Robert 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:10.1186/s13662-015-0661-x)

plant disease

Tang, Sanyi, Xiao, Yanni and Cheke, Robert A. (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:10.1016/j.matcom.2009.10.004)

Poincare map

Tang, Biao, Xiao, Yanni, Tang, Sanyi and Cheke, Robert (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:10.1142/S0218127416500395)

Poincaré map

Tang, Sanyi, Pang, Wenhong, Cheke, Robert 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:10.1186/s13662-015-0661-x)

polyphenism

Cheke, Robert A., 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:10.1093/icesjms/fst150)

predation

Cheke, Robert A., 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:10.1093/icesjms/fst150)

predator–prey model

Tang, Sanyi, Tang, Guangyao and Cheke, Robert A. (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:10.1016/j.jtbi.2010.02.034)

pulse

Qin, Wenjie, Tang, Sanyi and Cheke, Robert A. (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:10.1155/2013/670263)

Pulse spraying

Liang, Juhua, Tang, Sanyi, Nieto, Juan J. and Cheke, Robert A. (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:10.1016/j.mbs.2013.07.008)

Random perturbation

Xiang, Changcheng, Tang, Sanyi, Cheke, Robert 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:10.1142/S0218127416300378)

refuge

Tang, Guangyao, Tang, Sanyi and Cheke, Robert A. (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:10.1007/s11071-013-1157-4)

Yang, Jin, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.amc.2013.08.024)

reproduction number

Tang, Sanyi, Xiao, Yanni, Yuan, Lin, Cheke, Robert A. 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:10.1016/j.jtbi.2011.10.035)

Tang, Sanyi, Xiao, Yanni, Yuan, Lin, Cheke, Robert A. 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:10.1016/j.jtbi.2011.10.035)

residual effect of pesticide

Liang, Juhua, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.nonrwa.2012.02.003)

residual effects of pesticides

Tang, Sanyi, Liang, Juhua, Tan, Yuanshun and Cheke, Robert A. (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:10.1007/s00285-011-0501-x)

resource limitation

Qin, Wenjie, Tang, Sanyi and Cheke, Robert A. (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:10.1155/2014/450935)

Schistocerca gregaria

Cheke, Robert A., 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:10.1093/icesjms/fst150)

seasonal environments

Tang, Sanyi, Cheke, Robert A. 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:10.1016/j.na.2006.02.049)

SIR

Qin, Wenjie, Tang, Sanyi and Cheke, Robert A. (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:10.1155/2013/670263)

sliding bifurcation

Yang, Jin, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.cnsns.2014.08.012)

Yang, Jin, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.amc.2013.08.024)

Tang, Sanyi, Liang, Juhua, Xiao, Yanni and Cheke, Robert A. (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:10.1137/110847020)

sliding homoclinic orbit

Tang, Sanyi, Liang, Juhua, Xiao, Yanni and Cheke, Robert A. (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:10.1137/110847020)

Spatial heterogeneity

Yuan, Baoyin, Tang, Sanyi and Cheke, Robert (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:10.1142/S0218127415501035)

Spodoptera exempta

Cheke, Robert A., 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:10.1093/icesjms/fst150)

Stable switching transient

Xiang, Changcheng, Tang, Sanyi, Cheke, Robert 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:10.1142/S0218127416300378)

stage structure

Tang, Sanyi, Liang, Juhua, Xiao, Yanni and Cheke, Robert A. (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:10.1137/110847020)

state-dependent feedback control

Tang, Biao, Xiao, Yanni, Tang, Sanyi and Cheke, Robert (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:10.1142/S0218127416500395)

strong and weak density dependent death rates

Zhang, Xianghong, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.nonrwa.2014.09.004)

threshold

Yang, Jin, Tang, Sanyi and Cheke, Robert A. (2015) Modelling pulsed immunotherapy of tumour–immune interaction. Mathematics and Computers in Simulation, 109. pp. 92-112. ISSN 0378-4754 (doi:10.1016/j.matcom.2014.09.001)

Qin, Wenjie, Tang, Sanyi and Cheke, Robert A. (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:10.1155/2014/450935)

Threshold condition

Liang, Juhua, Tang, Sanyi and Cheke, Robert (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:10.1016/j.cnsns.2015.12.014)

Liang, Juhua, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.nonrwa.2012.02.003)

time-lags

Cheke, Robert A., 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:10.1093/icesjms/fst150)

Tumour cell

Tang, Biao, Xiao, Yanni, Tang, Sanyi and Cheke, Robert (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:10.1142/S0218127416500395)

uniqueness

Tang, Guangyao, Tang, Sanyi and Cheke, Robert A. (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:10.1007/s11071-013-1157-4)

vaccination

Qin, Wenjie, Tang, Sanyi and Cheke, Robert A. (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:10.1155/2013/670263)

Vector-borne disease

Wang, Xia, Tang, Sanyi and Cheke, Robert (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:10.1016/j.jtbi.2016.09.015)

Volterra’s principle

Tang, Sanyi, Liang, Juhua, Tan, Yuanshun and Cheke, Robert A. (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:10.1007/s00285-011-0501-x)

Wolbachia

Zhang, Xianghong, Tang, Sanyi, Liu, Qiyong, Cheke, Robert A. 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:10.1016/j.mbs.2018.03.003)

Zhang, Xianghong, Tang, Sanyi and Cheke, Robert A. (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:10.1016/j.nonrwa.2014.09.004)

Wolbachia-infected mosquitoes

Zhang, Xianghong, Tang, Sanyi, Cheke, Robert A. 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:10.1007/s11538-016-0208-7)

This list was generated on Wed May 23 00:43:36 2018 BST.