生态扩散系统的概周期问题  

The Problem of Positive Almost Periodic Solution of Ecological System with Dispersion

作　　者：鲁红英[1] 于刚[1] 

机构地区：[1]东北财经大学数学与数量经济学院,辽宁大连116025

出　　处：《吉林师范大学学报（自然科学版）》2008年第1期6-9,共4页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金(10171010);教育部重点项目资助的课题(01061)

摘　　要：本文研究非自治两种群扩散捕食系统,该系统由n个斑块组成,食饵种群可以在n个斑块之间扩散,而捕食者种群在一个斑块中,不能扩散.本文结合运用Liapunov函数,得到该系统唯一存在全局渐近稳定的正概周期解的条件.This paper considers a nonautonornous predator-prey dispersion ecological system in which prey species can diffuse among n-patches, while the predator species is confined to one patch and can not diffuse. It was proved that the system have a strictly positive almost periodic solution which is globally asymptotically stable by using Liapanov function.

关 键 词：LIAPUNOV函数 扩散 概周期解 全局渐近稳定性 

分 类 号：O175.12[理学—数学]