Steady state bifurcations for a glycolysis model in biochemical reaction

被引：23

作者：

Wei, Meihua ^{[1
]}

Wu, Jianhua ^{[1
]}

Guo, Gaihui ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2015年 / 22卷

基金：

中国国家自然科学基金;

关键词：

Glycolysis model; Turing's instability; Steady state solutions; Lyapunov-Schmidt procedure; Normal form; SELKOV MODEL; IMPERFECT BIFURCATION; STATIONARY PATTERNS; OSCILLATIONS;

D O I：

10.1016/j.nonrwa.2014.08.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a two-species glycolysis model is investigated in which one species is substrate and the other is activator. A linear stability analysis shows that there is a critical value for the diffusion rate of the substrate above which the constant steady state solution is of Turing's instability. Next, the steady state bifurcations are analyzed not only from a simple eigenvalue, but more difficulty, from a double one The theoretical results are confirmed by numerical simulations. Our main methods are based on bifurcation theory, Lyapunov-Schmidt technique and singularity theory. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：155 / 175

页数：21

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