Pattern formation of a Schnakenberg-type plant root hair initiation model

被引：1

作者：

Li, Yanqiu ^{[1
]}

Jiang, Juncheng ^{[1
]}

机构：

[1] Nanjing Univ Technol, Puzhu S Rd, Nanjing 211816, Jiangsu, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2018年 / 88期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Schnakenberg-type model; pattern formation; global bifurcation; steady state solution; Hopf bifurcation; Turing bifurcation; STEADY-STATE SOLUTIONS; BIFURCATION-ANALYSIS; GLOBAL BIFURCATION; DIFFUSION; BRUSSELATOR; GLYCOLYSIS; EXISTENCE; DYNAMICS; SYSTEMS; BOUNDS;

D O I：

10.14232/ejqtde.2018.1.88

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concentrates on the diversity of patterns in a quite general Schnakenberg-type model. We discuss existence and nonexistence of nonconstant positive steady state solutions as well as their bounds. By means of investigating Turing, steady state and Hopf bifurcations, pattern formation, including Turing patterns, nonconstant spatial patterns or time periodic orbits, is shown. Also, the global dynamics analysis is carried out.

引用

页码：1 / 19

页数：19

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