{
  "annotation_id": "b22bcc55-fcd2-4be2-969a-b6f785b2fb1a",
  "date_created": "2026-03-02T18:01:32.181000Z",
  "date_modified": "2026-03-02T18:01:32.181000Z",
  "file_hash": "3105884963916251689cd22da4ec6164937f32337f60780b4cb302089d274dd9",
  "private": false,
  "record": {
    "abstract": "In this paper, we introduce a modified epidemic model on regular and\nscale-free networks respectively. We consider the birth rate $\\delta$, cure\nrate $\\gamma$, infection rate $\\lambda$, $\\alpha$ from the infectious disease,\nand death rate $\\beta$ from other factors. Through mean-field analysis, we find\nthat on regular network there is an epidemic threshold $\\lambda_{c}$ dependent\non the parameters $\\delta$, $\\gamma$, $\\alpha$, and $\\beta$; while for power\nlaw degree distribution network epidemic threshold is absent in the\nthermodynamic limit. The result is the same as that of the standard SIS model.\nThis reminds us the structure of the networks plays a very important role in\nthe spreading property of the infectious disease.",
    "arxiv_id": "q-bio/0402042",
    "authors": [
      "Jingzhou Liu"
    ],
    "categories": [
      "q-bio.PE"
    ],
    "doi": "10.1088/1742-5468/2004/08/P08008",
    "title": "The spread of disease with birth and death on networks",
    "url": "https://arxiv.org/abs/q-bio/0402042"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a382d6d7-2fda-495b-9e85-aab403e39ddb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}