The Existence and Simulations of Periodic Solution of Leslie Predator-Prey Model with Impulsive Perturbations

被引：0

作者：

Wang, Kaihua ^{[1
]}

Zhang, Wenxiang ^{[1
]}

Gui, Zhanji ^{[1
]}

机构：

[1] Hainan Normal Univ, Sch Math & Stat, Haikou 571158, Hainan, Peoples R China

来源：

INFORMATION COMPUTING AND APPLICATIONS, PT II | 2011年 / 244卷

关键词：

Periodic Solution; Impulses; Simulation; Coincidence degree theory;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we investigate the predator-prey system governed by impulsive differential equation with Leslie functional response. Sufficient conditions are obtained for the existence of periodic solutions. The main approach is based on Mawhin's continuation theorem of the coincidence degree. Further, sonic numerical simulations demonstrate that our model can occur in many forms of complexities including periodic oscillation and chaotic strange attractor.

引用

页码：113 / 120

页数：8

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