Travelling waves for a bistable reaction-diffusion equation with delay
Analysis of PDEs
2018-02-19 v1
Abstract
The paper is devoted to a reaction-diffusion equation with delay arising in modelling the immune response. We prove the existence of travelling waves in the bistable case using the Leray-Schauder method. In difference with the previous works, we do not assume here quasi-monotonicity of the delayed reaction term.
Keywords
Cite
@article{arxiv.1701.08560,
title = {Travelling waves for a bistable reaction-diffusion equation with delay},
author = {Sergei Trofimchuk and Vitaly Volpert},
journal= {arXiv preprint arXiv:1701.08560},
year = {2018}
}
Comments
22 pages, 1 figure, submitted