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)

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)

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)

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)

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)

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)

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 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

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)

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)

Filippov system

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)

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)

host-parasitoid model

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)

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)

IPM

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 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)

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)

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-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)

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)

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)

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)

sliding bifurcation

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)

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)

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)

Threshold condition

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)

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)