{
  "id": "0803.3502",
  "version": "v1",
  "published": "2008-03-25T07:49:16.000Z",
  "updated": "2008-03-25T07:49:16.000Z",
  "title": "Convergence of a finite volume scheme for nonlocal reaction-diffusion systems modelling an epidemic disease",
  "authors": [
    "Mostafa Bendahmane",
    "Mauricio Sepulveda"
  ],
  "comment": "30 pages",
  "categories": [
    "math.NA"
  ],
  "abstract": "We analyze a finite volume scheme for nonlocal SIR model, which is a nonlocal reaction-diffusion system modeling an epidemic disease. We establish existence solutions to the finite volume scheme, and show that it converges to a weak solution. The convergence proof is based on deriving series of a priori estimates and using a general $L^p$ compactness criterion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-25T07:49:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite volume scheme",
      "nonlocal reaction-diffusion systems modelling",
      "epidemic disease",
      "convergence",
      "nonlocal sir model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.3502B"
    }
  }
}