Global stability of a modified Leslie-Gower model with Beddington-DeAngelis functional response

Abstract

A predator-prey model with modified Leslie-Gower and Beddington-DeAngelis functional response is studied. The local stability of the equilibria and the permanence of the system are investigated. By applying the fluctuation lemma, qualitative analysis and Lyapunov direct method, respectively, three sufficient conditions on the global asymptotic stability of a positive equilibrium are obtained.© 2014 Liu and Jiang; licensee Springer.