非自治竞争扩散系统的渐近周期解  

Asymptotically Periodic Solution of Non-autonomous Competition Dispersion System

作　　者：于刚[1] 鲁红英[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）》2010年第3期20-23,34,共5页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(70901016);辽宁省高等学校优秀人才支持计划项目(2008RC15)

摘　　要：本文考虑了具有Ⅱ类功能性反应和连续时滞的非自治Lotka-Volterra竞争扩散系统,该系统由n个斑块组成,其中一种群可以在n个斑块之间扩散,而另一种群在一个斑块中,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渐近周期解条件.A non-autonomous competition dispersion ecological system with functional response and continuous time delay is proposed in this paper. The system, which is consisted of n-pathes, has two competitors, one can diffuse among n-pathes, but the other is confined to one patch and cannot diffuse. By constructing a suitable Liapunov function, we obtain the system have a unique asymptotically periodic solution which is globally asymptotically stable.

关 键 词：时滞 LIAPUNOV函数 扩散 渐近周期解 全局渐近稳定 

分 类 号：O175.12[理学—数学]