Existence of Waves for a Bistable Reaction-Diffusion System with Delay

被引：7

作者：

Volpert, V. ^{[1
,2
,3
,4
]}

机构：

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

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

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

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

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2020年 / 32卷 / 02期

基金：

俄罗斯科学基金会;

关键词：

Reaction-diffusion system; Delay; Travelling wave; Existence; TRAVELING-WAVES; ASYMPTOTIC-BEHAVIOR; STABILITY; EQUATION;

D O I：

10.1007/s10884-019-09751-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence of travelling waves is studied for a delay reaction-diffusion system of equations describing the distribution of viruses and immune cells in the tissue. The proof uses the Leray-Schauder method based on the topological degree for elliptic operators in unbounded domains and on a priori estimates of solutions in weighted spaces.

引用

页码：615 / 629

页数：15

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