The global existence of solutions and asymptotic stability of a reaction-diffusion system

2017/11/02 by Abdelmalek, Salem, Bendoukha, Samir, Kirane, Mokhtar
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1711.00976

Abstract

This paper studies the solutions of a reaction--diffusion system with nonlinearities that generalise the Lengyel--Epstein and FitzHugh--Nagumo nonlinearities. Sufficient conditions are derived for the global asymptotic stability of the system's solutions and confirmed through numerical Examples.

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