Permanence of Periodic Beddington-DeAngelis Predator-Prey System in a Two-Patch Environment with Delay

Abstract

In this paper, we study a two-species periodic Beddington-DeAngelis predator-prey model with delay in a two-patch environment, in which the prey species can disperse between two patches, but the predator species cannot disperse. On the basis of the comparison theorem of differential equations, we establish sufficient conditions for the permanence and extinction of the system.