On multiplicity and stability of positive solutions of a diffusive prey-predator model

被引：26

作者：

Peng, R ^{[1
]}

Wang, MX

机构：

[1] SE Univ, Dept Math, Nanjing 210018, Peoples R China

[2] Xuzhou Normal Univ, Dept Math, Xuzhou 221116, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 316卷 / 01期

基金：

中国国家自然科学基金;

关键词：

diffusive prey-predator model; positive solutions; multiplicity; stability;

D O I：

10.1016/j.jmaa.2005.04.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, we consider the following diffusive prey-predator model: Delta u=u(a-u-v/(1+mu)) in Omega, u=0 on a Omega, -Delta v=v(b-mv/(m+u)) in Omega, v=0 on a Omega. We are mainly concerned with the positive solutions of the system in the case that the parameter m is large, and obtain a complete understanding for the existence, multiplicity and stability of positive solutions. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：256 / 268

页数：13

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