Asymptotic Behaviors of a Delayed Nonautonomous Predator-Prey System Governed by Difference Equations

摘要

Based on a predator-prey differential system with continuously distributed delays, we derive a corresponding difference version by using the method of a discretization technique. A good understanding of permanence of system and global attractivity of positive solutions of system is gained. An example and its numerical simulations are presented to substantiate our theoretical results.