Journal of Economic Asymmetries. Vol. 21. 2020.
The global existence and asymptotic stability of solutions for a reaction–diffusion system
This 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. © 2019
Authors
Bendoukha S. 1 , Abdelmalek S. 2 , Kirane M. 3, 4, 5
Publisher
Elsevier Ltd
Language
English
State
Published
Link
Number
103052
Volume
53
Year
2020
Organizations
- 1 Department of Electrical Engineering, College of Engineering, Yanbu, Taibah University, Saudi Arabia
- 2 Department of Mathematics, University of Tebessa12002, Algeria
- 3 LaSIE, Faculté des Sciences, Pole Sciences et Technologies, Université de La Rochelle, Avenue M. Crépeau, La Rochelle Cedex, 17042, France
- 4 NAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
- 5 Peoples’ Friendship University of Russia (RUDN University, 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
Keywords
FitzHugh–Nagumo model; Global asymptotic stability; Lengyel–Epstein system; Lyapunov functional; Reaction–diffusion equations
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Journal of Computational and Applied Mathematics. Vol. 370. 2020.