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.
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页码：256 / 268
页数：13
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