缀块环境非自治生态系统的渐近性质(英)

Asymptotic Behavior of Nonautonomous System in Patchy Environment

本文讨论了单种群多个缀块（patch）的周期系统正周期解的存在性，唯一性和稳定性，并且在某些条件下，证明了渐近周期系统的任何一个解．渐近逼近于相应的周期系统的唯一的正周期解．

In this paper .we considered the nonautonomous Periodic systems composed of several patcheSand single species. It is shown that,there exists a unique and globally stable,positive Periodic solution of such a system. Furthermore,for a syStem in which all the parameters asymptotically approach periodic functions,we showed that all the solutions asymptotically approach the unique,globally stable,positive periodic solution of corresponding periodic system.