A mathematical study of an eco-epidemiological system on disease persistence and extinction perspective

作者：

Highlights：

• A prey–predator system with nonlinear incidence rate of the disease in prey is described.

• The dynamical behavior of the system is investigated at each equilibrium point.

• Sufficient conditions are derived for the uniformly strong persistence of the system.

• Results are obtained to extract the criteria for disease persistence and extinction.

摘要

•A prey–predator system with nonlinear incidence rate of the disease in prey is described.•The dynamical behavior of the system is investigated at each equilibrium point.•Sufficient conditions are derived for the uniformly strong persistence of the system.•Results are obtained to extract the criteria for disease persistence and extinction.

论文关键词：Eco-epidemic model,Nonlinear incidence,Persistence,Hopf bifurcation,Global stability

论文评审过程：Available online 20 January 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2014.12.109