The linear and nonlinear diffusion of the competitive Lotka-Volterra model

被引：10
|
作者：
Zhang, Xin-an [1 ]
Chen, Lansun
机构：
[1] Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China
[2] Acad Sinica, Inst Math, Beijing 100080, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 66卷 / 12期
基金：
中国国家自然科学基金;
关键词：
nonlinear diffusion; persistence; coexistence; extinction;
D O I：
10.1016/j.na.2006.04.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper has studied the effects of linear and nonlinear diffusion of the competitive Lotka-Volterra model, and has investigated how the linear and nonlinear diffusions lead from the extinction of one species to the persistence or global asymptotic stability of all species. This research has important implications in the design of nature reserves. (c) 2006 Elsevier Ltd. All rights reserved.
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页码：2767 / 2776
页数：10
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