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.
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页码：155 / 175
页数：21
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