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

Published 2 Nov 2017 in math.AP | (1711.00976v2)

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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