Pattern formation in a general glycolysis reaction-diffusion system

被引：33
作者：
Zhou, Jun [1 ]
Shi, Junping [2 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
[2] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA
来源：
IMA JOURNAL OF APPLIED MATHEMATICS | 2015年 / 80卷 / 06期
基金：
美国国家科学基金会; 中国博士后科学基金;
关键词：
reaction-diffusion system; glycolysis model; stability; Hopf bifurcation; steady-state bifurcation; non-constant positive solutions; GRAY-SCOTT MODEL; LENGYEL-EPSTEIN SYSTEM; STEADY-STATE SOLUTIONS; PREDATOR-PREY SYSTEM; SELKOV MODEL; TURING PATTERNS; BIFURCATION ANALYSIS; SCHNAKENBERG MODEL; GLOBAL BIFURCATION; BRUSSELATOR SYSTEM;
D O I：
10.1093/imamat/hxv013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A general reaction-diffusion system modelling glycolysis is investigated. The parameter regions for the stability and instability of the unique constant steady-state solution is derived, and the existence of time-periodic orbits and non-constant steady-state solutions are proved by the bifurcation method and Leray-Schauder degree theory. The effect of various parameters on the existence and non-existence of spatiotemporal patterns is analysed.
引用
收藏
页码：1703 / 1738
页数：36
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