Localised spatial structures in the Thomas model

Fahad Al Saadi, Annette Worthy, Haifaa Alrihieli and Mark Nelson

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 194, issue C, 141-158

Abstract: The Thomas model is a system of two reaction–diffusion equations which was originally proposed in the context of enzyme kinetics. It was subsequently realised that it offers a plausible chemical mechanism for the generation of coat markings on mammals. To that end previous investigations have focused on establishing the conditions for the Turing instability and on following the associated patterns as the bifurcation parameter increases through the instability.

Keywords: Turing bifurcation; Localised patterns; Homoclinic snaking; Belyakov–Devaney transition; Weakly nonlinear stability analysis (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:194:y:2022:i:c:p:141-158

DOI: 10.1016/j.matcom.2021.10.030

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