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.

EUDML-ID : urn:eudml:doc:269933
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Mots clés:

@article{702683,
     title = {Irregularity of Turing patterns in the Thomas model with a unilateral term},
     booktitle = {Programs and Algorithms of Numerical Mathematics},
     series = {GDML\_Books},
     publisher = {Institute of Mathematics AS CR},
     address = {Prague},
     year = {2015},
     pages = {188-193},
     url = {http://dml.mathdoc.fr/item/702683}
}

Rybář, Vojtěch; Vejchodský, Tomáš. Irregularity of Turing patterns in the Thomas model with a unilateral term, dans Programs and Algorithms of Numerical Mathematics, GDML_Books,  (2015), pp. 188-193. http://gdmltest.u-ga.fr/item/702683/