Irregularity of turing patterns in the Thomas model with a unilateral term

0443852 - MÚ 2016 RIV CZ eng C - Conference Paper (international conference)
Rybář, Vojtěch - Vejchodský, Tomáš
Irregularity of turing patterns in the Thomas model with a unilateral term.
Programs and algorithms of numerical mathematics 17. Proceedings of seminar. Praha: Matematický ústav AV ČR, v.v.i, 2015 - (Chleboun, J.; Přikryl, P.; Segeth, K.; Šístek, J.; Vejchodský, T.), s. 188-193. ISBN 978-80-85823-64-6.
[Programs and Algorithms of Numerical Mathematics /17./. Dolní Maxov (CZ), 08.06.2014-13.06.2014]
EU Projects: European Commission(XE) 328008 - STOCHDETBIOMODEL
Institutional support: RVO:67985840
Keywords : reactin-diffusion system * Thomas model * Turing instability
Subject RIV: BA - General Mathematics
http://hdl.handle.net/10338.dmlcz/702683

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.
Permanent Link: http://hdl.handle.net/11104/0246501