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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

Random perturbation

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)

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)

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)

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)

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)

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)