{
  "id": "0909.3811",
  "version": "v2",
  "published": "2009-09-21T16:09:46.000Z",
  "updated": "2010-07-14T21:24:37.000Z",
  "title": "Epidemic threshold for the SIS model on networks",
  "authors": [
    "Roni Parshani",
    "Shai Carmi",
    "Shlomo Havlin"
  ],
  "journal": "Phys. Rev. Lett. 104, 258701 (2010)",
  "doi": "10.1103/PhysRevLett.104.258701",
  "categories": [
    "cond-mat.dis-nn",
    "physics.data-an"
  ],
  "abstract": "We derive an analytical expression for the critical infection rate r_c of the susceptible-infectious-susceptible (SIS) disease spreading model on random networks. To obtain r_c, we first calculate the probability of reinfection, pi, defined as the probability of a node to reinfect the node that had earlier infected it. We then derive r_c from pi using percolation theory. We show that pi is governed by two effects: (i) The requirement from an infecting node to recover prior to its reinfection, which depends on the disease spreading parameters; and (ii) The competition between nodes that simultaneously try to reinfect the same ancestor, which depends on the network topology.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-07-14T21:24:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "89.75.Hc",
      "05.70.Ln",
      "89.75.Da"
    ],
    "keywords": [
      "sis model",
      "epidemic threshold",
      "critical infection rate",
      "percolation theory",
      "disease spreading model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2010,
      "month": "Jun",
      "volume": 104,
      "number": 25,
      "pages": 258701
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvL.104y8701P"
    }
  }
}