Séminaire des Doctorant·e·s :

Le 14 janvier 2015 à 17h00 - Salle 9.11

Présentée par Griette Quentin - IMB (Bordeaux)

Travelling waves in a spatial evolutionary epidemiology model

In this study, 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.