Qualitative analysis for a diffusive predator-prey model

被引：18

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

页码：339 / 355

页数：17

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