Global and blow-up solutions for a mutualistic model

被引：5

作者：

Feng, Peng ^{[1
]}

机构：

[1] Florida Gulf Coast Univ, Dept Phys Sci & Math, Ft Myers, FL 33965 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 07期

关键词：

mutualistic model; degenerate reaction-diffusion system; global solution; blow-up solution;

D O I：

10.1016/j.na.2007.01.060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the global and blow-up solutions for a strong degenerate reaction-diffusion system modeling the interactions of two biological species. The local existence and uniqueness of a classical solution are established. We further give the critical exponent for reaction and absorption terms for the existence of global and blow-up solutions. We show that the solution may blow up if the intraspecific competition is weak. This supports ecologist AJ. Nicholson's conclusion that intraspecific competition is the main factor regulating population size. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1898 / 1908

页数：11

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