Global dynamics of an eco-epidemiological model with Beddington-Deangelis functional response

Abstract

In this paper, a predator-prey eco-epidemiological model with Beddington-DeAngelis functional response is investigated. In the model, it is assumed that the predator population suffers a transmissible disease. By means of Lyapunov functions and LaSalle’s invariance principle, sufficient conditions are derived for the global stability of the endemic-coexistence equilibrium, the disease-free equilibrium and the predator-extinction equilibrium of the system, respectively.