一类具有无穷时滞和功能反应的捕食扩散系统的持久性与稳定性  

Persistence and stability for a predator-prey dispersal system with infinite delays and functional response

作　　者：王守和[1] 魏凤英[1] 

机构地区：[1]福州大学数学与计算机科学学院,福建福州350108

出　　处：《纯粹数学与应用数学》2010年第2期345-352,共8页Pure and Applied Mathematics

基　　金：国家自然科学基金(10726062);福建省自然科学基金(S0750007);福州大学科技发展基金(2007-XQ-18);福州大学引进人才基金(0030824983)

摘　　要：研究一类非自治的具有HollingⅡ类功能性反应且包含时变时滞与多个无穷时滞的两种群n斑块捕食扩散系统的持久性与稳定性.利用比较原理,结合构造Lyapunov泛函的方法,得到了保证该系统永久持续生存和任意正解全局渐近稳定的充分性条件.Persistence and stability of a nonautonomous two-species n-patches predator-prey dispersal system with time varying delay and multiple infinite delays and Holling type-II functional response were studied.By using of the comparison theorem and constructing suitable Lyapunov functional,sufficient conditions were obtained for guaranteeing the permanence of the system and the globally asymptotic stability of any positive solution.

关 键 词：时变时滞与无穷时滞 扩散 永久持续生存 全局渐近稳定 

分 类 号：O178[理学—数学]