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
收藏
页码：550 / 564
页数：15
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