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
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
收藏
页码:256 / 268
页数:13
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