DYNAMICS OF SOLUTIONS OF A REACTION-DIFFUSION EQUATION WITH DELAYED INHIBITION

被引：11

作者：

Touaoula, Tarik Mohammed ^{[1
]}

Frioui, Mohammed Nor ^{[1
]}

Bessonov, Nikolay ^{[2
]}

Volpert, Vitaly ^{[3
,4
,5
,6
]}

机构：

[1] Univ Abou Bekr Belkaid Tlemcen, Lab Anal Non Lineaire & Math Appl, Dept Math, Tilimsen 13000, Algeria

[2] Russian Acad Sci, Inst Problems Mech Engn, St Petersburg 199178, Russia

[3] RUDN Univ, Peoples Friendship Univ Russia, 6 Miklukho Maklaya St, Moscow 117198, Russia

[4] Univ Lyon 1, Inst Camille Jordan, UMR 5208 CNRS, F-69622 Villeurbanne, France

[5] Univ Lyon 1, INRIA, Univ Lyon, Inst Camille Jordan, 43 Bd 11 Novembre 1918, F-69200 Villeurbanne, France

[6] RAS, Marchuk Inst Numer Math, Ul Gubkina 8, Moscow 119333, Russia

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2020年 / 13卷 / 09期

基金：

俄罗斯科学基金会;

关键词：

Delay reaction-diffusion equation; global attractor; pattern formation; FUNCTIONAL-DIFFERENTIAL EQUATIONS; GLOBAL STABILITY-CRITERION; NICHOLSONS BLOWFLIES; DIRICHLET PROBLEM; SYSTEMS; MODEL;

D O I：

10.3934/dcdss.2020193

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Reaction-diffusion equation with a logistic production term and a delayed inhibition term is studied. Global stability of the homogeneous in space equilibrium is proved under some conditions on the delay term. In the case where these conditions are not satisfied, this solution can become unstable resulting in the emergence of spatiotemporal pattern formation studied in numerical simulations.

引用

页码：2425 / 2442

页数：18

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