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The global existence and asymptotic stability of solutions for a reaction–diffusion system
Journal article   Open access  Peer reviewed

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

Samir Bendoukha, Salem Abdelmalek and Mokhtar Kirane
Nonlinear analysis: real world applications, Vol.53, p.103052
01/06/2020
DOI: https://doi.org/10.1016/j.nonrwa.2019.103052

Abstract

FitzHugh–Nagumo model Global asymptotic stability Lengyel–Epstein system Lyapunov functional Reaction–diffusion equations
This paper studies the solutions of a reaction–diffusion system with nonlinearities that generalize the Lengyel–Epstein and FitzHugh–Nagumo nonlinearities. Sufficient conditions are derived for the global asymptotic stability of the solutions. Furthermore, we present some numerical examples.
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https://doi.org/10.1016/j.nonrwa.2019.103052View
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