{"paper":{"title":"The spread of disease with birth and death on networks","license":"","headline":"","cross_cats":[],"primary_cat":"q-bio.PE","authors_text":"et al, Jingzhou Liu","submitted_at":"2004-02-25T19:55:24Z","abstract_excerpt":"In this paper, we introduce a modified epidemic model on regular and scale-free networks respectively. We consider the birth rate $\\delta$, cure rate $\\gamma$, infection rate $\\lambda$, $\\alpha$ from the infectious disease, and death rate $\\beta$ from other factors. Through mean-field analysis, we find that on regular network there is an epidemic threshold $\\lambda_{c}$ dependent on the parameters $\\delta$, $\\gamma$, $\\alpha$, and $\\beta$; while for power law degree distribution network epidemic threshold is absent in the thermodynamic limit. The result is the same as that of the standard SIS "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-bio/0402042","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}