THE PERIODIC HOLLING Ⅱ PREDATOR-PREY MODEL WITH IMPULSIVE EFFECT

被引：0
|
作者：
ZHANG Yujuan(Department of Applied Mathematics
Department of Mathematics
机构：
来源：
Journal of Systems Science and Complexity | 2004年 / 04期
基金：
中国国家自然科学基金;
关键词：
Holling Ⅱ predator-prey model; impulsive effect; bifurcation; extinction;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a periodic Holling II predator-prey model with impulsive effect is investigated. By applying the Floquet theory of linear periodic impulsive equation, some sufficient conditions are obtained for the linear stability and instability of trivial and semi-trivial periodic solutions. Moreover, we use standard bifurcation theory to show the existence of coexistence states which arise near the semi-trivial periodic solution. As an application, we also examine some special case of the system to confirm our main results.
引用
收藏
页码：555 / 566
页数：12
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