The global existence of solutions and asymptotic stability of a reaction-diffusion system
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.
arXiv comment22 pages, 6 figures