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

页码：1617 / 1627

页数：11

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