On the global asymptotic stability of solutions to a generalised Lengyel-Epstein system

被引：17

作者：

Abdelmalek, Salem ^{[1
,2
]}

Bendoukha, Samir ^{[3
]}

机构：

[1] Yanbu Taibah Univ, Coll Sci, Dept Math, Yanbu, Saudi Arabia

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

[3] Taibah Univ, Dept Elect Engn, Yanbu, Saudi Arabia

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2017年 / 35卷

关键词：

Reaction-diffusion equations; Lengyel-Epstein system; Global asymptotical stability; Lyapunov functional; TURING PATTERNS; DIFFUSION; INSTABILITY; BIFURCATION; BEHAVIOR;

D O I：

10.1016/j.nonrwa.2016.11.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a Lengyel-Epstein system with a general reaction term. It is concerned with the global dynamics and asymptotic stability of the solutions. Sufficient conditions for the stability of the system's unique steady state solution are derived and confirmed through numerical analysis in Matlab. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：397 / 413

页数：17

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