{
  "id": "2007.05855",
  "version": "v1",
  "published": "2020-07-11T21:14:02.000Z",
  "updated": "2020-07-11T21:14:02.000Z",
  "title": "Epidemic Models as Scaling Limits of Individual Dynamics",
  "authors": [
    "Franco Flandoli",
    "Francesco Grotto",
    "Andrea Papini",
    "Cristiano Ricci"
  ],
  "comment": "22 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "Infection spread among individuals is modelled with a continuous time Markov chain, in which subject interactions depend on their distance in space. The well known SIR model and non local variants of the latter are then obtained as large scale limits of the individual based model in two different scaling regimes of the interaction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-11T21:14:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q92",
      "60J27",
      "60K35",
      "92D30"
    ],
    "keywords": [
      "epidemic models",
      "individual dynamics",
      "scaling limits",
      "large scale limits",
      "continuous time markov chain"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}