Bifurcations

Yang, JIn, Guan, Likun, Chen, Zhou, Tan, Yuanshun, Liu, Zijian and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) Bifurcation analysis of a nonlinear pulse SIR model with media coverage. Nonlinear Dynamics. ISSN 0924-090X (Print), 1573-269X (Online) (doi:https://doi.org/10.1007/s11071-023-08869-x)

Guan, Likud, Yang, Jin, Tan, Yuanshun, Liu, Zijian and Cheke, Robert ORCID: 0000-0002-7437-1934 (2022) Bifurcation analysis of a tumour-immune model with nonlinear killing rate as state-dependent feedback control. International Journal of Bifurcation and Chaos, 32 (10):2250155. pp. 1-19. ISSN 0218-1274 (doi:https://doi.org/10.1142/S0218127422501553)

Chemotherapeutic dose response

Yang, Jin, Tan, Yuanshun and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Modelling effects of a chemotherapeutic dose response on a stochastic tumour-immune model. Chaos, Solitons & Fractals, 123. pp. 1-13. ISSN 0960-0779 (doi:https://doi.org/10.1016/j.chaos.2019.03.029)

Eradication and persistence

Yang, Jin, Tan, Yuanshun and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Modelling effects of a chemotherapeutic dose response on a stochastic tumour-immune model. Chaos, Solitons & Fractals, 123. pp. 1-13. ISSN 0960-0779 (doi:https://doi.org/10.1016/j.chaos.2019.03.029)

Extinction and persistence

Yang, Jin, Tan, Yuanshun and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Thresholds for extinction and proliferation in a stochastic tumour-immune model with pulsed comprehensive therapy. Communications in Nonlinear Science and Numerical Simulation, 73. pp. 363-378. ISSN 1007-5704 (Print), 1878-7274 (Online) (doi:https://doi.org/10.1016/j.cnsns.2019.02.025)

impulsive chemostat model

Yang, Jin, Tan, Yuanshun and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Complex dynamics of an impulsive chemostat model. International Journal of Bifurcation and Chaos (ijbc), 29 (8):1950101. ISSN 0218-1274 (Print), 1793-6551 (Online) (doi:https://doi.org/10.1142/S0218127419501013)

IPM

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)

Lyapunov function

Yang, Jin, Tan, Yuanshun and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Modelling effects of a chemotherapeutic dose response on a stochastic tumour-immune model. Chaos, Solitons & Fractals, 123. pp. 1-13. ISSN 0960-0779 (doi:https://doi.org/10.1016/j.chaos.2019.03.029)

Yang, Jin, Tan, Yuanshun and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Thresholds for extinction and proliferation in a stochastic tumour-immune model with pulsed comprehensive therapy. Communications in Nonlinear Science and Numerical Simulation, 73. pp. 363-378. ISSN 1007-5704 (Print), 1878-7274 (Online) (doi:https://doi.org/10.1016/j.cnsns.2019.02.025)

media coverage

Yang, JIn, Guan, Likun, Chen, Zhou, Tan, Yuanshun, Liu, Zijian and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) Bifurcation analysis of a nonlinear pulse SIR model with media coverage. Nonlinear Dynamics. ISSN 0924-090X (Print), 1573-269X (Online) (doi:https://doi.org/10.1007/s11071-023-08869-x)

nonlinear feedback control

Guan, Likud, Yang, Jin, Tan, Yuanshun, Liu, Zijian and Cheke, Robert ORCID: 0000-0002-7437-1934 (2022) Bifurcation analysis of a tumour-immune model with nonlinear killing rate as state-dependent feedback control. International Journal of Bifurcation and Chaos, 32 (10):2250155. pp. 1-19. ISSN 0218-1274 (doi:https://doi.org/10.1142/S0218127422501553)

nonlinear pulse

Yang, JIn, Guan, Likun, Chen, Zhou, Tan, Yuanshun, Liu, Zijian and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) Bifurcation analysis of a nonlinear pulse SIR model with media coverage. Nonlinear Dynamics. ISSN 0924-090X (Print), 1573-269X (Online) (doi:https://doi.org/10.1007/s11071-023-08869-x)

order-k periodic solution

Yang, Jin, Tan, Yuanshun and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Complex dynamics of an impulsive chemostat model. International Journal of Bifurcation and Chaos (ijbc), 29 (8):1950101. ISSN 0218-1274 (Print), 1793-6551 (Online) (doi:https://doi.org/10.1142/S0218127419501013)

pest control

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-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)

Poincare map

Guan, Likud, Yang, Jin, Tan, Yuanshun, Liu, Zijian and Cheke, Robert ORCID: 0000-0002-7437-1934 (2022) Bifurcation analysis of a tumour-immune model with nonlinear killing rate as state-dependent feedback control. International Journal of Bifurcation and Chaos, 32 (10):2250155. pp. 1-19. ISSN 0218-1274 (doi:https://doi.org/10.1142/S0218127422501553)

Poincar´e map

Yang, Jin, Tan, Yuanshun and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Complex dynamics of an impulsive chemostat model. International Journal of Bifurcation and Chaos (ijbc), 29 (8):1950101. ISSN 0218-1274 (Print), 1793-6551 (Online) (doi:https://doi.org/10.1142/S0218127419501013)

Poincaré map

Yang, JIn, Guan, Likun, Chen, Zhou, Tan, Yuanshun, Liu, Zijian and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) Bifurcation analysis of a nonlinear pulse SIR model with media coverage. Nonlinear Dynamics. ISSN 0924-090X (Print), 1573-269X (Online) (doi:https://doi.org/10.1007/s11071-023-08869-x)

Prostate cancer

Chen, Lin, Yang, Jin, Tan, Yuanshun, Liu, Zijian and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2021) Threshold dynamics of a stochastic model of intermittent androgen deprivation therapy for prostate cancer. Communications in Nonlinear Science and Numerical Simulation, 100:105856. ISSN 1007-5704 (doi:https://doi.org/10.1016/j.cnsns.2021.105856)

Pulsed therapy

Yang, Jin, Tan, Yuanshun and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Thresholds for extinction and proliferation in a stochastic tumour-immune model with pulsed comprehensive therapy. Communications in Nonlinear Science and Numerical Simulation, 73. pp. 363-378. ISSN 1007-5704 (Print), 1878-7274 (Online) (doi:https://doi.org/10.1016/j.cnsns.2019.02.025)

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)

SIR model

Yang, JIn, Guan, Likun, Chen, Zhou, Tan, Yuanshun, Liu, Zijian and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) Bifurcation analysis of a nonlinear pulse SIR model with media coverage. Nonlinear Dynamics. ISSN 0924-090X (Print), 1573-269X (Online) (doi:https://doi.org/10.1007/s11071-023-08869-x)

stability

Yang, Jin, Tan, Yuanshun and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Complex dynamics of an impulsive chemostat model. International Journal of Bifurcation and Chaos (ijbc), 29 (8):1950101. ISSN 0218-1274 (Print), 1793-6551 (Online) (doi:https://doi.org/10.1142/S0218127419501013)

Stationary distribution

Chen, Lin, Yang, Jin, Tan, Yuanshun, Liu, Zijian and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2021) Threshold dynamics of a stochastic model of intermittent androgen deprivation therapy for prostate cancer. Communications in Nonlinear Science and Numerical Simulation, 100:105856. ISSN 1007-5704 (doi:https://doi.org/10.1016/j.cnsns.2021.105856)

Stochastic dynamical model

Chen, Lin, Yang, Jin, Tan, Yuanshun, Liu, Zijian and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2021) Threshold dynamics of a stochastic model of intermittent androgen deprivation therapy for prostate cancer. Communications in Nonlinear Science and Numerical Simulation, 100:105856. ISSN 1007-5704 (doi:https://doi.org/10.1016/j.cnsns.2021.105856)

Stochastic tumour-immune model

Yang, Jin, Tan, Yuanshun and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Thresholds for extinction and proliferation in a stochastic tumour-immune model with pulsed comprehensive therapy. Communications in Nonlinear Science and Numerical Simulation, 73. pp. 363-378. ISSN 1007-5704 (Print), 1878-7274 (Online) (doi:https://doi.org/10.1016/j.cnsns.2019.02.025)

Stochastic tumour-immune system

Yang, Jin, Tan, Yuanshun and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Modelling effects of a chemotherapeutic dose response on a stochastic tumour-immune model. Chaos, Solitons & Fractals, 123. pp. 1-13. ISSN 0960-0779 (doi:https://doi.org/10.1016/j.chaos.2019.03.029)

Threshold dynamics

Chen, Lin, Yang, Jin, Tan, Yuanshun, Liu, Zijian and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2021) Threshold dynamics of a stochastic model of intermittent androgen deprivation therapy for prostate cancer. Communications in Nonlinear Science and Numerical Simulation, 100:105856. ISSN 1007-5704 (doi:https://doi.org/10.1016/j.cnsns.2021.105856)

transcritical bifurcation

Yang, Jin, Tan, Yuanshun and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Complex dynamics of an impulsive chemostat model. International Journal of Bifurcation and Chaos (ijbc), 29 (8):1950101. ISSN 0218-1274 (Print), 1793-6551 (Online) (doi:https://doi.org/10.1142/S0218127419501013)

Tumour-immune model

Guan, Likud, Yang, Jin, Tan, Yuanshun, Liu, Zijian and Cheke, Robert ORCID: 0000-0002-7437-1934 (2022) Bifurcation analysis of a tumour-immune model with nonlinear killing rate as state-dependent feedback control. International Journal of Bifurcation and Chaos, 32 (10):2250155. pp. 1-19. ISSN 0218-1274 (doi:https://doi.org/10.1142/S0218127422501553)

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)