GLOBAL STABILITY OF A REACTION-DIFFUSION SYSTEM OF A COMPETITOR-COMPETITOR-MUTUALIST MODEL

被引：3
作者：
Xu, Shihe [1 ]
机构：
[1] Zhaoqing Univ, Dept Math, Zhaoqing 526061, Peoples R China
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2011年 / 15卷 / 04期
基金：
美国国家科学基金会;
关键词：
Competitor-competitor-mutualist model; Positive constant steady-state solution; Reaction-diffusion system; Global asymptotic stability;
D O I：
10.11650/twjm/1500406367
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study a reaction-diffusion system of a competitor-competitor-mutualist model with Neumann boundary condition. Using iteration method, we investigate the global asymptotic stability of the unique positive constant steady-state solution under some assumptions. We also give some sufficient conditions under which there are no nonconstant positive steady-state solution exist.
引用
收藏
页码：1617 / 1627
页数：11
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