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

Publication date: June 2020Source: Nonlinear Analysis: Real World Applications, Volume 53Author(s): Samir Bendoukha, Salem Abdelmalek, Mokhtar KiraneAbstractThis 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.

Source: Nonlinear Analysis: Real World Applications - November 11, 2019 Category: Research Source Type: research