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

  title={Existence and qualitative properties of travelling waves for an epidemiological model with mutations},
  author={Q. Griette and G. Raoul},
  journal={arXiv: Analysis of PDEs},
  • Q. Griette, G. Raoul
  • Published 2014
  • Mathematics
  • arXiv: Analysis of PDEs
  • 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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