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Long-time behavior of the solutions of Murray–Thomas model for interacting chemicals

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  • Rionero, Salvatore
  • Vitiello, Maria

Abstract

This paper is concerned with the Murray–Thomas model for interacting chemicals or species, under Robin boundary data. It is shown that the solutions are bounded and asymptotically converging toward an absorbing set of the phase-space. The stability of the positive constant steady states is discussed via a symmetrization procedure.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:82:y:2012:i:9:p:1597-1614
    DOI: 10.1016/j.matcom.2012.02.009
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    Cited by:

    1. 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.
    2. Capone, F. & Carfora, M.F. & De Luca, R. & Torcicollo, I., 2018. "On the dynamics of an intraguild predator–prey model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 149(C), pages 17-31.

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