Dynamical analysis of a fractional order eco-epidemiological model with nonlinear incidence rate and prey refuge

被引：0
|
作者：
Mahmoud Moustafa
Mohd Hafiz Mohd
Ahmad Izani Ismail
Farah Aini Abdullah
机构：
[1] Universiti Sains Malaysia,School of Mathematical Sciences
来源：
Journal of Applied Mathematics and Computing | 2021年 / 65卷
关键词：
Eco-epidemiological model; Prey-predator model; Global stability; Hopf bifurcation; Fractional order; Numerical simulation; 92D25; 26A33; 37G15; 92D40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, a fractional order eco-epidemiological model with nonlinear incidence rate is studied. The populations are divided into healthy prey, infected prey and predator. A prey refuge was introduced in the healthy prey population to make the model more realistic. Various qualitative properties including local and global stability analysis of equilibrium points are investigated. The theoretical results are verified by numerical simulations. The fractional order model is shown to have rich dynamical behavior including bistability phenomena, supercritical Hopf bifurcation, subcritical Hopf bifurcation and transcritical bifurcation.
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页码：623 / 650
页数：27
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