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

Yanqiu Li; Juncheng Jiang

doi:10.14232/ejqtde.2018.1.88

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

Yanqiu Li, Juncheng Jiang

安全科学与工程学院

Nanjing Tech University

科研成果: 期刊稿件 › 文章 › 同行评审

5 引用（Scopus）

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.

源语言	英语
文章编号	88
期刊	Electronic Journal of Qualitative Theory of Differential Equations
卷	2018
DOI	https://doi.org/10.14232/ejqtde.2018.1.88
出版状态	已出版 - 2018

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keywords = "Global bifurcation, Hopf bifurcation, Pattern formation, Schnakenberg-type model, Steady state solution, Turing bifurcation",

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AB - 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.

KW - Global bifurcation

KW - Hopf bifurcation

KW - Pattern formation

KW - Schnakenberg-type model

KW - Steady state solution

KW - Turing bifurcation

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M3 - 文章

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JO - Electronic Journal of Qualitative Theory of Differential Equations

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

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