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

Abstract

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.