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Localised spatial structures in the Thomas model

Author

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

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.

Suggested Citation

  • Al Saadi, Fahad & Worthy, Annette & Alrihieli, Haifaa & Nelson, Mark, 2022. "Localised spatial structures in the Thomas model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 141-158.
    • Handle: RePEc:eee:matcom:v:194:y:2022:i:c:p:141-158
    DOI: 10.1016/j.matcom.2021.10.030
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    References listed on IDEAS

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    1. Rionero, Salvatore & Vitiello, Maria, 2012. "Long-time behavior of the solutions of Murray–Thomas model for interacting chemicals," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(9), pages 1597-1614.
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    Cited by:

    1. Haifaa Alrihieli & Mohammed Alrehili & Ahmed M. Megahed, 2022. "Radiative MHD Nanofluid Flow Due to a Linearly Stretching Sheet with Convective Heating and Viscous Dissipation," Mathematics, MDPI, vol. 10(24), pages 1-13, December.

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