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arXiv · 1711.00976

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

Salem Abdelmalek·Samir Bendoukha·Mokhtar Kirane
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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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Salem Abdelmalek, Samir Bendoukha, Mokhtar Kirane. 2018-09-24. The global existence of solutions and asymptotic stability of a reaction-diffusion system. https://arxiv.org/abs/1711.00976

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