Coexistence of a three species predator-prey model with diffusion and density dependent mortality

被引：2

作者：

Zhou J. ^{[1
,2
]}

Mu C. ^{[2
]}

机构：

[1] School of Mathematics and Statistics, Southwest University

[2] College of Mathematics and Statistics, Chongqing University

来源：

Rendiconti del Circolo Matematico di Palermo | 2011年 / 60卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Coexistence; Competitive exclusion; Density dependent mortality; Functional response; Global stability; Local stability;

D O I：

10.1007/s12215-011-0044-4

中图分类号：

学科分类号：

摘要：

In this paper, we consider a two competitor-one prey model with diffusion in which both competitors exhibit general functional response and one of the competitors exhibits density dependent mortality rate. By using the linearization method and Laypunov functional method, we study the local and global stability of the constant equilibrium, respectively. It is shown that the two competitors can coexistence upon one single prey. As an example, we consider a two competitor-one prey model with diffusion and Holling II functional response. Our results demonstrate that density-dependent mortality in one of the competitors can prevent competitive exclusion. © 2011 Springer-Verlag.

引用

页码：215 / 227

页数：12

共 54 条

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