Stationary patterns created by cross-diffusion for the competitor-competitor-mutualist model

被引：40

作者：

Chen, WY ^{[1
]}

Peng, R ^{[1
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210018, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 291卷 / 02期

基金：

中国国家自然科学基金;

关键词：

competitor-competitor-mutualist model; cross-diffusion; non-constant positive steady-states;

D O I：

10.1016/j.jmaa.2003.11.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a competitor-competitor-mutualist model with cross-diffusion. We prove some existence and non-existence results concerning non-constant positive steady-states (patterns). In particular, we demonstrate that the cross-diffusion can create patterns when the corresponding model without cross-diffusion fails. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：550 / 564

页数：15

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