ALMOST PERIODIC SOLUTION OF TWO-SPECIES PATCH-TYPE NONAUTONOMOUS DIFFUSIVE LOTKA-VOLTERRA COMPETITIVE MODELS

摘要

In this paper, we consider two-species n -patch almost periodic competitive systems with diffusion, where one species can diffuse between any two of n patches, but the other is confined to one of the patches and cannot diffuse. We prove that the systems can have a unique positive almost periodic solution, which is globally uniformly asymptotically stable under some appropriate conditions. In particular, if the system is a periodic system of period ω, it can have a positive globally uniformly asymptotically stable periodic solution of period ω, which is a generalization of Theorem 4 in paper.