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arxiv: 1809.10544 · v2 · pith:DEDMOLVNnew · submitted 2018-09-27 · 🧮 math.AP · math.DS

On the asymptotic stability of the time--fractional Lengyel--Epstein system

classification 🧮 math.AP math.DS
keywords systemasymptoticfractionallengyel--epsteinstabilitycimaconcernsconditions
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This paper concerns a time fractional version of the conventional Lengyel--Epstein CIMA reaction model. We define the invariant regions of the system and establish sufficient conditions for the unique equilibrium's local and global asymptotic stability. Numerical results are presented to illustrate the effect of the fractional order on system dynamics.

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