Qualitative analysis for a diffusive predator-prey model

被引：17
|
作者：
Chen, Bin [1 ,2 ]
Wang, Mingxin [2 ]
机构：
[1] Yancheng Teachers Coll, Dept Math, Yancheng 224001, Peoples R China
[2] Southeast Univ, Dept Math, Nanjing 210018, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 55卷 / 03期
基金：
中国国家自然科学基金;
关键词：
predator-prey model; iteration technique; stability; stationary patterns;
D O I：
10.1016/j.camwa.2007.03.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the qualitative properties of a diffusive predator-prey model subject to the homogeneous Neumann boundary condition. By a comparison argument and iteration technique, under some hypotheses we prove that the positive constant steady state is globally asymptotically stable. We also establish the existence and non-existence of non-constant positive steady states (stationary patterns) by use of the degree theory and the a priori estimates. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：339 / 355
页数：17
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