{
  "annotation_id": "1eca478c-303f-4ca5-bfa1-e6180e21d2ae",
  "date_created": "2026-03-02T18:00:56.984000Z",
  "date_modified": "2026-03-02T18:00:56.984000Z",
  "file_hash": "16380c50be126c9968066da491f7b9c231b7b6c6a7f2649e760b244200913d38",
  "private": false,
  "record": {
    "abstract": "We consider a standard \\textit{susceptible-infected-susceptible} (SIS) model\nto study behaviors of steady states of epidemic spreading in small-world\nnetworks. Using analytical methods and large scale simulations, we recover the\nusual epidemic behavior with a critical threshold $\\lambda_{c}$ below which\ninfectious diseases die out. Whereas for the spreading rate $\\lambda$ far above\n$\\lambda_{c}$, it was found that the density of infected individuals $\\rho$ as\na function of $\\lambda$ has the property $\\rho \\approx F(K)(\\ln \\lambda - \\ln\n\\lambda_{c})$.",
    "arxiv_id": "physics/0504042",
    "authors": [
      "Xin-Jian Xu",
      "Zhi-Xi Wu",
      "Yong Chen",
      "Ying-Hai Wang"
    ],
    "categories": [
      "physics.soc-ph"
    ],
    "doi": "10.1142/S0129183104006881",
    "journal_ref": "Int. J. Mod. Phys. C 15, 1471 (2004)",
    "title": "Steady States of Epidemic Spreading in Small-World Networks",
    "url": "https://arxiv.org/abs/physics/0504042"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5d33a096-ef3e-4358-9e70-bfa42a56f9ae",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}