The role of the fear, hunting cooperation, and anti-predator behavior in the prey predator model having disease in predator

Abstract

This article aims to study the dynamical behavior of an eco-epidemiological model. A mathematical eco-epidemiological model consisting of a prey-predator model with disease in predator involving fear that induced due to the intensity of hunting cooperation, and anti-predator property is formulated and studied. The existence, uniqueness, and boundedness of the solution of the model are investigated. The persistence condition of the system has been established. The dynamic behavior of the system is analyzed, including the stability analysis of all possible equilibrium points is discussed. The local bifurcation analysis is carried out. Finally, numerical simulations are provided to check the validity of the theoretical results.