{
  "id": "1102.2810",
  "version": "v3",
  "published": "2011-02-14T16:06:48.000Z",
  "updated": "2013-04-16T22:01:20.000Z",
  "title": "Rates of convergence for the three state contact process in one dimension",
  "authors": [
    "Achillefs Tzioufas"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "The basic contact process with parameter $\\mu$ altered so that infections of sites that have not been previously infected occur at rate proportional to $\\lambda$ instead is considered. Emergence of an infinite epidemic starting out from a single infected site is not possible for $\\mu$ less than the contact process' critical value, whereas it is possible for $\\mu$ greater than that value. In the former case the space and time infected regions are shown to decay exponentially; in the latter case and for $\\lambda$ greater than $\\mu$, the ratio of the endmost infected site's velocity to that of the contact process is shown to be at most $\\lambda / \\mu$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-04-16T22:01:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35"
    ],
    "keywords": [
      "state contact process",
      "convergence",
      "endmost infected sites velocity",
      "basic contact process",
      "single infected site"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.2810T"
    }
  }
}