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

Li, Yanqiu and Jiang, Juncheng: Pattern formation of a Schnakenberg-type plant root hair initiation model.

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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.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2018
Number: 88
ISSN: 1417-3875
Page Range: pp. 1-19
DOI: https://doi.org/10.14232/ejqtde.2018.1.88
Uncontrolled Keywords: Dinamikus rendszer - differenciálható, Bifurkáció
Additional Information: Bibliogr.: p. 16-19. ; összefoglalás angol nyelven
Date Deposited: 2019. Jan. 25. 10:47
Last Modified: 2020. Jul. 29. 12:29
URI: http://acta.bibl.u-szeged.hu/id/eprint/56900

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