{
  "id": "1006.2129",
  "version": "v2",
  "published": "2010-06-10T19:49:19.000Z",
  "updated": "2010-10-27T19:03:46.000Z",
  "title": "On the critical behavior of the Susceptible-Infected-Recovered (SIR) model on a square lattice",
  "authors": [
    "Tânia Tomé",
    "Robert M. Ziff"
  ],
  "comment": "9 pages, 5 figures. Accepted for publication, Physical Review E",
  "journal": "Phys. Rev. E 82, 051921 (2010)",
  "doi": "10.1103/PhysRevE.82.051921",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech",
    "physics.bio-ph"
  ],
  "abstract": "By means of numerical simulations and epidemic analysis, the transition point of the stochastic, asynchronous Susceptible-Infected-Recovered (SIR) model on a square lattice is found to be c_0=0.1765005(10), where c is the probability a chosen infected site spontaneously recovers rather than tries to infect one neighbor. This point corresponds to an infection/recovery rate of lambda_c = (1-c_0)/c_0 = 4.66571(3) and a net transmissibility of (1-c_0)/(1 + 3 c_0) = 0.538410(2), which falls between the rigorous bounds of the site and bond thresholds. The critical behavior of the model is consistent with the 2-d percolation universality class, but local growth probabilities differ from those of dynamic percolation cluster growth, as is demonstrated explicitly.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-10-27T19:03:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "87.10.Mn",
      "02.50.Ey",
      "64.60.ah"
    ],
    "keywords": [
      "square lattice",
      "critical behavior",
      "dynamic percolation cluster growth",
      "local growth probabilities differ"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2010,
      "month": "Nov",
      "volume": 82,
      "number": 5,
      "pages": "051921"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvE..82e1921T"
    }
  }
}