Non-constant positive steady states of the Sel'kov model

被引：128

作者：

Wang, MX ^{[1
]}

机构：

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2003年 / 190卷 / 02期

关键词：

Sel'kov model; non-constant positive steady states; bifurcation; global existence;

D O I：

10.1016/S0022-0396(02)00100-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the reaction-diffusion system known as the Sel'kov model with the homogeneous Neumann boundary condition. This model has been applied to various problems in chemistry and biology. We first give a priori estimates (positive upper and lower bounds) of positive steady states, and then study the non-existence, bifurcation and global existence of non-constant positive steady states as the parameters lambda and theta are varied. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：600 / 620

页数：21

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