blood glucose level

Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: https://orcid.org/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:10.1016/j.cnsns.2014.08.012)

Critical glucose threshold

Yang, Jin, Tang, Sanyi and Cheke, Robert ORCID: https://orcid.org/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:10.1016/j.cnsns.2016.02.001)

Diabetes

Yang, Jin, Tang, Sanyi and Cheke, Robert ORCID: https://orcid.org/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:10.1016/j.cnsns.2016.02.001)

Discrete model

Liang, Juhua, Tang, Sanyi and Cheke, Robert ORCID: https://orcid.org/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:10.1016/j.cnsns.2015.12.014)

duration

Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: https://orcid.org/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:10.1016/j.cnsns.2014.08.012)

Dynamic complexity

Liang, Juhua, Tang, Sanyi and Cheke, Robert ORCID: https://orcid.org/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:10.1016/j.cnsns.2015.12.014)

Extinction and persistence

Yang, Jin, Tan, Yuanshun and Cheke, Robert A. ORCID: https://orcid.org/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:10.1016/j.cnsns.2019.02.025)

Glucose infusion

Yang, Jin, Tang, Sanyi and Cheke, Robert ORCID: https://orcid.org/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:10.1016/j.cnsns.2016.02.001)

glucose-insulin model

Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: https://orcid.org/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:10.1016/j.cnsns.2014.08.012)

Glucose-insulin system

Yang, Jin, Tang, Sanyi and Cheke, Robert ORCID: https://orcid.org/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:10.1016/j.cnsns.2016.02.001)

Insulin injection

Yang, Jin, Tang, Sanyi and Cheke, Robert ORCID: https://orcid.org/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:10.1016/j.cnsns.2016.02.001)

insulin therapy

Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: https://orcid.org/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:10.1016/j.cnsns.2014.08.012)

Lyapunov function

Yang, Jin, Tan, Yuanshun and Cheke, Robert A. ORCID: https://orcid.org/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:10.1016/j.cnsns.2019.02.025)

Pest resistance

Liang, Juhua, Tang, Sanyi and Cheke, Robert ORCID: https://orcid.org/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:10.1016/j.cnsns.2015.12.014)

Pesticide application period

Liang, Juhua, Tang, Sanyi and Cheke, Robert ORCID: https://orcid.org/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:10.1016/j.cnsns.2015.12.014)

Pesticide switching

Liang, Juhua, Tang, Sanyi and Cheke, Robert ORCID: https://orcid.org/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:10.1016/j.cnsns.2015.12.014)

Prostate cancer

Chen, Lin, Yang, Jin, Tan, Yuanshun, Liu, Zijian and Cheke, Robert A. ORCID: https://orcid.org/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:10.1016/j.cnsns.2021.105856)

Pulsed therapy

Yang, Jin, Tan, Yuanshun and Cheke, Robert A. ORCID: https://orcid.org/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:10.1016/j.cnsns.2019.02.025)

sliding bifurcation

Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: https://orcid.org/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:10.1016/j.cnsns.2014.08.012)

Stationary distribution

Chen, Lin, Yang, Jin, Tan, Yuanshun, Liu, Zijian and Cheke, Robert A. ORCID: https://orcid.org/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:10.1016/j.cnsns.2021.105856)

Stochastic dynamical model

Chen, Lin, Yang, Jin, Tan, Yuanshun, Liu, Zijian and Cheke, Robert A. ORCID: https://orcid.org/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:10.1016/j.cnsns.2021.105856)

Stochastic tumour-immune model

Yang, Jin, Tan, Yuanshun and Cheke, Robert A. ORCID: https://orcid.org/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:10.1016/j.cnsns.2019.02.025)

Threshold condition

Liang, Juhua, Tang, Sanyi and Cheke, Robert ORCID: https://orcid.org/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:10.1016/j.cnsns.2015.12.014)

Threshold dynamics

Chen, Lin, Yang, Jin, Tan, Yuanshun, Liu, Zijian and Cheke, Robert A. ORCID: https://orcid.org/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:10.1016/j.cnsns.2021.105856)