The dynamics of prey-predator model with disease in predator involving Allee effect and migration

Abstract

The main objective of this paper is to study the dynamical behavior of an eco-epidemiological system involving strong Allee effect and migration in the predator-prey model with the disease in the predator population. The total predator population is divided into two compartments, namely the susceptible predatory population and the infected predator population. The uniform boundedness of the dynamical system is discussed. The stability of the equilibrium points is analyzed. The occurrence of local bifurcation around the equilibrium points is investigated. To verify our analytical findings, numerical simulations are carried out using MATLAB (R2018b) Software.