摘要
研究了具有第Ⅱ类功能性反应的三种群捕食-食饵离散系统,利用重合度理论中的连续定理及构造离散的Lyapunov函数,得到了该系统正周期解的存在及全局稳定的充分条件.
In this paper, we study a predator-prey of three-species dicsrete system with Holling Ⅱ functional response. By using the continuation theorem of coincidence degree theroy and by constructing suitable Lyapunov function, sufficient conditions are obtained for the existence and global stability of positive periodic solution of the model.
出处
《广西师范学院学报（自然科学版）》
2009年第1期33-42,共10页
Journal of Guangxi Teachers Education University(Natural Science Edition)
基金
广西师范学院青年科研基金资助(0605B005)
关键词
第Ⅱ类功能性反应
三种群捕食-食饵离散系统
正周期解
全局稳定
Holling Ⅱ functional response
predator-prey of three-species discrete system
positive periodic solution
global stability
