Hunting cooperation among predators effects on the dynamics of food-web eco-epidemiological model with additional food to predators

Abstract

In this paper, an eco-epidemiological model with fear and internal competition in the first and second prey populations have been proposed and studied, the susceptible predator is fed on preys using Holling type-II and Lotka-Volterra functional responses in the presence of additional food and hunting cooperation to the susceptible predator. Furthermore, it is assumed that the infected predator is receiving treatment. The existence, uniqueness and boundedness of the solution have been studied. The conditions of local and global stability have been identified. The goal of this study is to determine the fear, additional food, hunting cooperation and treatment effect on the stability of the proposed system, it has been demonstrated that they play a significant role in regulating the system's stability. Finally, our analytical conclusions were verified numerically by Mathematica.