Existence and qualitative properties of travelling waves for an epidemiological model with mutations
Analysis of PDEs
2014-12-22 v1
Abstract
In this article, we are interested in a non-monotone system of logistic reaction-diffusion equations. This system of equations models an epidemics where two types of pathogens are competing, and a mutation can change one type into the other with a certain rate. We show the existence of minimal speed travelling waves, that are usually non monotonic. We then provide a description of the shape of those constructed travelling waves, and relate them to some Fisher-KPP fronts with non-minimal speed.
Keywords
Cite
@article{arxiv.1412.6354,
title = {Existence and qualitative properties of travelling waves for an epidemiological model with mutations},
author = {Quentin Griette and Gaël Raoul},
journal= {arXiv preprint arXiv:1412.6354},
year = {2014}
}