The influence of hunting cooperation, and anti-predator behavior on an eco-epidemiological model with harvest

Abstract

In this paper, an eco-epidemiological model consisting of a diseased predator with hunting cooperation and anti-predator property is formulated and studied as a three-dimensional system of ordinary differential equations. The solution’s properties such as existence, uniqueness, and bounded are discussed. The conditions for the extinction of populations and the existence of equilibria are found, and the local and global stabilities are investigated. The possibility of the occurrence of local bifurcation was also studied. The conditions of occurrence of Hopf bifurcation are determined. To study the global dynamics and how changing parameters affect the system's asymptotic behavior, numerical simulation has been used.