The Periodic Predator-Prey Model with Impulsive Effect

被引：0

作者：

Wu, Wen ^{[1
]}

Tang, Sanyi ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China

来源：

PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II | 2010年

关键词：

predator-prey; impulse; pest-free periodic solution; global stability;

D O I：

暂无

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, nonautonomous periodic predator-prey system with impulsive effect is investigated. The threshold value R-0 which determines the dynamical behavior of the model is provided. Furthermore, we prove that the pest-free periodic solution is globally stable if R-0 < 1; the pest-free periodic solution is unstable and the pest will be uniform persistent when R-0 > 1.

引用

页码：342 / 345

页数：4