{
  "id": "2002.07542",
  "version": "v1",
  "published": "2020-02-18T13:17:40.000Z",
  "updated": "2020-02-18T13:17:40.000Z",
  "title": "Equilibrium and sensitivity analysis of a spatio-temporal host-vector epidemic model",
  "authors": [
    "Olivier Martin",
    "Yasmil Fernandez-Diclo",
    "Jerome Coville",
    "Samuel Soubeyrand"
  ],
  "categories": [
    "math.AP",
    "math.DS",
    "q-bio.PE"
  ],
  "abstract": "Insect-borne diseases are diseases carried by insects affecting humans, animals or plants. They have the potential to generate massive outbreaks such as the Zika epidemic in 2015-2016 mostly distributed in the Americas, the Pacific and Southeast Asia, and the multi-foci outbreak caused by the bacterium {\\it Xylella fastidiosa} in Europe in the 2010s. In this article, we propose and analyze the behavior of a spatially-explicit compartmental model adapted to pathosystems with fixed hosts and mobile vectors disseminating the disease. The behavior of this model based on a system of partial differential equations is complementarily characterized via a theoretical study of its equilibrium states and a numerical study of its transitive phase using global sensitivity analysis. The results are discussed in terms of implications concerning the surveillance and control of the disease over a medium-to-long temporal horizon.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-18T13:17:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spatio-temporal host-vector epidemic model",
      "equilibrium",
      "spatially-explicit compartmental model",
      "partial differential equations",
      "global sensitivity analysis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}