Existence of Positive Periodic Solutions for the Predator-Prey Difference System with Beddington-DeAngelis Functional Response and Time Delays

摘要

A nonautonomous predator-prey difference model with Beddington-DeAngelis functional response,diffusion,and time delays is investigated. The model consists of n competing preys and one predator,and the predator and one prey are confined to one patch. First,concepts and results concerning the continuation theorem of coincidence degree are summarized. Then,a system of algebraic equations is proved to have a unique solution. Finally,the sufficient conditions for the existence of a difference system are established. The result is substantiated through numerical simulation.