{
  "annotation_id": "10e16c59-3983-4a32-a380-efcec323edeb",
  "date_created": "2026-03-02T18:01:31.019000Z",
  "date_modified": "2026-03-02T18:01:31.019000Z",
  "file_hash": "f84df582f673af7f50247e789e0379da6238d6a15083d0bfb689599c94395c21",
  "private": false,
  "record": {
    "abstract": "We investigate the time-evolution and steady states of the stochastic\nsusceptible-infected-recovered-susceptible(SIRS) epidemic model on one- and\ntwo- dimensional lattices. We compare the behavior of this system, obtained\nfrom computer simulations, with those obtained from the mean-field\napproximation(MFA) and pair-approximation(PA). The former(latter) approximates\nhigher order moments in terms of first(second) order ones. We find that the PA\ngives consistently better results than the MFA. In one dimension the\nimprovement is even qualitative.",
    "arxiv_id": "q-bio/0404035",
    "authors": [
      "Jaewook Joo",
      "Joel L. Lebowitz"
    ],
    "categories": [
      "q-bio.PE",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1103/PhysRevE.70.036114",
    "journal_ref": "Phys. Rev. E, 70 (2004) 036114",
    "title": "Pair approximation of the stochastic   susceptible-infected-recovered-susceptible epidemic model on the hypercubic   lattice",
    "url": "https://arxiv.org/abs/q-bio/0404035"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "94a97fc9-58e8-4702-b45c-5fe362aa20c5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}