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arXiv · 1412.6354

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

Quentin Griette·Gaël Raoul
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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.

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Quentin Griette, Gaël Raoul. 2014-12-19. Existence and qualitative properties of travelling waves for an epidemiological model with mutations. https://arxiv.org/abs/1412.6354

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