污染环境中一类时滞多种群概周期食物链系统全局指数稳定性  

Global Exponential Stability of a Class of Multiple Species Almost Periodic Food-Chain System with Varying Time Delays in the Polluted Environment

作　　者：郭兴伟 赵凯宏[1] 代云仙 GUO Xingwei;ZHAO Kaihong;DAI Yunxian(Faculty of Science,Kunming University of Science and Technology,Kunming 650500)

机构地区：[1]昆明理工大学理学院,云南昆明650500

出　　处：《昆明理工大学学报（自然科学版）》2022年第3期184-190,共7页Journal of Kunming University of Science and Technology(Natural Science)

基　　金：云南省自然科学基金项目(2011FZ058);云南省教育厅自然科学基金项目(2011Z001)。

摘　　要：考虑了污染环境中一类变时滞多种群食物链系统.首先应用重合度理论的Mawhin延拓定理,建立了概周期正解存在新的充分条件;然后通过构造适当的Lyapunov泛函,研究了概周期正解的全局指数稳定性.This paper studies a class of multiple species food-chain system with varying-time delays in the polluted environment.Firstly,the new sufficient condition of existence of almost periodic positive is established by means of Mawhin’s continuation theorem of coincidence degree theory.Then,the global exponential stability of almost periodic positive solutions is investigated by constructing appropriate Lyapunov functional.

关 键 词：食物链系统 概周期解 全局指数稳定性 时变延迟 污染环境 

分 类 号：X17[环境科学与工程—环境科学] Q141[生物学—生态学] O175[生物学—普通生物学]