{
  "id": "cond-mat/0202298",
  "version": "v1",
  "published": "2002-02-18T15:09:40.000Z",
  "updated": "2002-02-18T15:09:40.000Z",
  "title": "Epidemic dynamics in finite size scale-free networks",
  "authors": [
    "Romualdo Pastor-Satorras",
    "Alessandro Vespignani"
  ],
  "comment": "4 pages, 2 eps figures",
  "journal": "Phys. Rev. E. 65, 035108(R) (2002)",
  "doi": "10.1103/PhysRevE.65.035108",
  "categories": [
    "cond-mat.stat-mech",
    "q-bio"
  ],
  "abstract": "Many real networks present a bounded scale-free behavior with a connectivity cut-off due to physical constraints or a finite network size. We study epidemic dynamics in bounded scale-free networks with soft and hard connectivity cut-offs. The finite size effects introduced by the cut-off induce an epidemic threshold that approaches zero at increasing sizes. The induced epidemic threshold is very small even at a relatively small cut-off, showing that the neglection of connectivity fluctuations in bounded scale-free networks leads to a strong over-estimation of the epidemic threshold. We provide the expression for the infection prevalence and discuss its finite size corrections. The present work shows that the highly heterogeneous nature of scale-free networks does not allow the use of homogeneous approximations even for systems of a relatively small number of nodes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-02-18T15:09:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite size scale-free networks",
      "epidemic threshold",
      "bounded scale-free networks",
      "relatively small",
      "hard connectivity cut-offs"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}