A degenerate parabolic system with self-diffusion for a mutualistic model in ecology

被引：15

作者：

Kim, Kwang Ik

Lin, Zhigui ^{[1
]}

机构：

[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Peoples R China

[2] Pohang Univ Sci & Technol, Dept Math, Pohang 790784, South Korea

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2006年 / 7卷 / 04期

关键词：

degenerate diffusion system; blowup; global solution; competition;

D O I：

10.1016/j.nonrwa.2005.03.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the behavior of positive solution for a degenerate parabolic system with homo-geneous Dirichlet boundary conditions describing a cooperating two-species Lotka-Volterra model. The local existence and uniqueness of a classical solution are given. Some comparison principles and positivity lemmas are also presented. Further, we show that the solution is global if the intra-specific competitions of the species are strong. whereas the solution may blow up if the intra-specific competitions are weak. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：597 / 609

页数：13

共 18 条

[1] ANALYSIS OF BLOWUP FOR A NONLINEAR DEGENERATE PARABOLIC EQUATION [J].