摘要：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. MSC:34D23, 92D25, 34D20, 34D40.
关键词：Leslie-Gower ; permanence ; global asymptotic stability ; Lyapunov function ; Dulac function ; fluctuation lemma
