The influence of hunting cooperation, fear and anti-predator on the dynamic of a prey-predator model with disease in prey

Abstract

In this study, we examine an eco-epidemiological prey-predator model that incorporates hunting cooperation, fear, and anti-predator behavior including linear harvest. There are two subclasses of prey: susceptible and diseased. We investigate thorough mathematical analysis, including the presence and stability of equilibria, the boundedness of the model, and the existence and uniqueness of solutions. The conditions under which local bifurcation could occur near the equilibrium points were discovered. Numerical simulations were run to validate the model's long-term behavior and comprehend the impact of the model's main parameters. The purpose is to demonstrate the analytical findings numerically and study the impact of changing the parameters on the dynamical behavior of the system, and control settings are determined by numerical simulations using MATLAB, R2021a.