The global existence of solutions and asymptotic stability of a reaction-diffusion system
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🧮 math.AP
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solutionssystemasymptoticglobalnonlinearitiesstabilityconditionsconfirmed
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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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