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

被引：3

作者：

Bendoukha, Samir ^{[1
]}

Abdelmalek, Salem ^{[2
]}

Kirane, Mokhtar ^{[3
,4
,5
]}

机构：

[1] Taibah Univ, Dept Elect Engn, Coll Engn, Yanbu, Saudi Arabia

[2] Univ Tebessa, Dept Math, Tebessa 12002, Algeria

[3] Univ La Rochelle, Pole Sci & Technol, Fac Sci, LaSIE, Ave M Crepeau, F-17042 La Rochelle, France

[4] King Abdulaziz Univ, Fac Sci, Dept Math, NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia

[5] RUDN Univ, Peoples Friendship Univ Russia, 6 Miklukho Maklay St, Moscow 117198, Russia

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2020年 / 53卷

关键词：

Reaction-diffusion equations; Lengyel-Epstein system; FitzHugh-Nagumo model; Global asymptotic stability; Lyapunov functional; LENGYEL-EPSTEIN SYSTEM; TURING PATTERNS; INSTABILITY; BIFURCATION; DYNAMICS;

D O I：

10.1016/j.nonrwa.2019.103052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2019 Published by Elsevier Ltd.

引用

页数：17

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