{
  "id": "1412.6354",
  "version": "v1",
  "published": "2014-12-19T14:25:54.000Z",
  "updated": "2014-12-19T14:25:54.000Z",
  "title": "Existence and qualitative properties of travelling waves for an epidemiological model with mutations",
  "authors": [
    "Quentin Griette",
    "Gaël Raoul"
  ],
  "categories": [
    "math.AP"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-19T14:25:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K57",
      "35Q92",
      "92D30",
      "92D40"
    ],
    "keywords": [
      "epidemiological model",
      "qualitative properties",
      "logistic reaction-diffusion equations",
      "fisher-kpp fronts",
      "equations models"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.6354G"
    }
  }
}