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

College of Safety Science and Engineering

Nanjing Tech University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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.

Original language	English
Article number	88
Journal	Electronic Journal of Qualitative Theory of Differential Equations
Volume	2018
DOIs	https://doi.org/10.14232/ejqtde.2018.1.88
State	Published - 2018

Keywords

Global bifurcation
Hopf bifurcation
Pattern formation
Schnakenberg-type model
Steady state solution
Turing bifurcation

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10.14232/ejqtde.2018.1.88

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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.

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KW - Hopf bifurcation

KW - Pattern formation

KW - Schnakenberg-type model

KW - Steady state solution

KW - Turing bifurcation

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JO - Electronic Journal of Qualitative Theory of Differential Equations

JF - Electronic Journal of Qualitative Theory of Differential Equations

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ER -

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

Abstract

Keywords

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