Positive steady-state solutions of the Sel'kov model

被引：15
作者：
Peng, Rui [1 ]
Wang, Mingxin
Yang, Ming
机构：
[1] China Three Gorges Univ, Coll Sci, Inst Nonlinear Complex Syst, Yichang City 443002, Hubei Province, Peoples R China
[2] SE Univ, Dept Math, Nanjing 210018, Peoples R China
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2006年 / 44卷 / 9-10期
基金：
中国国家自然科学基金;
关键词：
the Sel'kov model; steady-state solutions; a priori estimates; existence; the fixed point index;
D O I：
10.1016/j.mcm.2006.03.001
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In the paper, we investigate a reaction-diffusion system known as the Sel'kov model under the homogeneous Dirichlet boundary condition. First, we give a priori estimates of non-negative steady-state solutions. Then, we obtain some results of the non-existence and existence of positive steady-state solutions. (c) 2006 Elsevier Ltd. All rights reserved.
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页码：945 / 951
页数：7
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