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

被引：0
|
作者：
Hou, Lingling [1 ]
Zhang, Conghui [2 ,3 ]
机构：
[1] Renmin Univ China, Inst Math Sci, Beijing 100872, Peoples R China
[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[3] Beijing Univ Civil Engn & Architecture, Sch Sci, Beijing 102616, Peoples R China
来源：
ACTA APPLICANDAE MATHEMATICAE | 2023年 / 184卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Travelling wave solution; Fast-slow dynamical theory; Stationary solution with jump discontinuity; Stability; RECEPTOR-BASED MODELS; PATTERN-FORMATION; TURING INSTABILITY; STABILITY; FRONT; HYSTERESIS; EXISTENCE; ORBITS;
D O I：
10.1007/s10440-023-00567-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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页数：25
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