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

Salvatore Rionero and Maria Vitiello

Mathematics and Computers in Simulation (MATCOM), 2012, vol. 82, issue 9, 1597-1614

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.

Keywords: Reaction diffusion equations; Lyapunov direct method; Absorbing set (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:82:y:2012:i:9:p:1597-1614

DOI: 10.1016/j.matcom.2012.02.009

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