Modeling and Stability Analysis of an Eco-epidemiological Model
Keywords:
eco-epidemiological model, , SIS epidemics disease,, prey-predator model, , stability analysis, nonlinear incidence rate.Abstract
In this paper,a prey-predator model with infectious disease in predator population
is proposed and studied. Nonlinear incidence rate is used to describe the transition of
disease. The existence, uniqueness and boundedness of the solution are discussed.
The existences and the stability analysis of all possible equilibrium points are
studied. Numerical simulation is carried out to investigate the global dynamical
behavior of the system.