Travelling Wave Solutions and Stationary Solutions of a Reaction-Diffusion-ODE System

被引：0
|
作者：
Lingling Hou
Conghui Zhang
机构：
[1] Renmin University of China,Institute for Mathematical Sciences
[2] Tsinghua University,Department of Mathematical Sciences
[3] Beijing University of Civil Engineering and Architecture,School of Science
来源：
Acta Applicandae Mathematicae | 2023年 / 184卷
关键词：
Travelling wave solution; Fast–slow dynamical theory; Stationary solution with jump discontinuity; Stability; 35C07; 35A01; 35K57; 35B35; 92C37;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this paper is to study a reaction-diffusion-ODE system which describes coupling of fast reacting receptors with ligands via diffusion in a cell assembly. We prove the existence of travelling wave solutions by applying fast–slow dynamical theory. The result shows that there may exist both travelling back and travelling front solutions. Moreover, the stationary problem is considered. We construct stationary solutions with jump discontinuity by means of shooting method and show that they are stable in a weak sense.
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