Original title: Irregularity of turing patterns in the Thomas model with a unilateral term
Authors: Rybář, Vojtěch ; Vejchodský, Tomáš
Document type: Papers
Conference/Event: Programs and Algorithms of Numerical Mathematics /17./, Dolní Maxov (CZ), 2014-06-08 / 2014-06-13
Year: 2015
Language: eng
Abstract: In this contribution we add a unilateral term to the Thomas model and investigate the resulting Turing patterns. We show that the unilateral term yields nonsymmetric and irregular patterns. This contrasts with the approximately symmetric and regular patterns of the classical Thomas model. In addition, the unilateral term yields Turing patterns even for smaller ratio of diffusion constants. These conclusions accord with the recent findings about the influence of the unilateral term in a model for mammalian coat patterns. This indicates that the observed effects of the unilateral term are general and apply to a variety of systems.
Keywords: reactin-diffusion system; Thomas model; Turing instability
Project no.: 328008
Host item entry: Programs and algorithms of numerical mathematics 17. Proceedings of seminar, ISBN 978-80-85823-64-6
Note: Související webová stránka: http://hdl.handle.net/10338.dmlcz/702683

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0246501

Permalink: http://www.nusl.cz/ntk/nusl-187449


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