Existence and qualitative properties of travelling waves for an epidemiological model with mutations

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.

Cited by in corpus (3)

• Pulsating fronts for Fisher-KPP systems with mutations as models in evolutionary epidemiology
• Propagation dynamics of solutions to spatially periodic reaction-diffusion systems with hybrid nonlinearity
• A note on "Existence and uniqueness of coexistence states for an elliptic system coupled in the linear part", by Hei Li-Jun, Nonlinear Anal. Real World Appl. 5, 2004