{
  "annotation_id": "c2b62be3-9a20-4792-b8f5-6e3a51f1756a",
  "date_created": "2026-03-02T18:01:07.780000Z",
  "date_modified": "2026-03-02T18:01:07.780000Z",
  "file_hash": "e805b5dced4529c7f05cf52e504739991bbc4198c8e94060248db12715560a10",
  "private": false,
  "record": {
    "abstract": "Much recent empirical evidence shows that \\textit{community structure} is\nubiquitous in the real-world networks. In this Letter, we propose a growth\nmodel to create scale-free networks with the tunable strength (noted by $Q$) of\ncommunity structure and investigate the influence of community strength upon\nthe collective synchronization induced by SIRS epidemiological process. Global\nand local synchronizability of the system is studied by means of an order\nparameter and the relevant finite-size scaling analysis is provided. The\nnumerical results show that, a phase transition occurs at $Q_c\\simeq0.835$ from\nglobal synchronization to desynchronization and the local synchronization is\nweakened in a range of intermediately large $Q$. Moreover, we study the impact\nof mean degree $\u003ck\u003e$ upon synchronization on scale-free networks.",
    "arxiv_id": "physics/0602137",
    "authors": [
      "Gang Yan",
      "Zhong-Qian Fu",
      "Jie Ren",
      "Wen-Xu Wang"
    ],
    "categories": [
      "physics.data-an",
      "physics.soc-ph"
    ],
    "doi": "10.1103/PhysRevE.75.016108",
    "journal_ref": "Phys. Rev. E 75. 016108 (2007)",
    "title": "Collective synchronization induced by epidemic dynamics on complex   networks with communities",
    "url": "https://arxiv.org/abs/physics/0602137"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b079ff5e-3dcb-4649-b76f-2552a0f17155",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}