dorsal/arxiv
View SchemaSize of Outbreaks Near the Epidemic Threshold
| Authors | E. Ben-Naim, P. L. Krapivsky |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0402001 |
| URL | https://arxiv.org/abs/q-bio/0402001 |
| DOI | 10.1103/PhysRevE.69.050901 |
| Journal | Phys. Rev. E 69, 050901R (2004) |
Abstract
The spread of infectious diseases near the epidemic threshold is investigated. Scaling laws for the size and the duration of outbreaks originating from a single infected individual in a large susceptible population are obtained. The maximal size of an outbreak n_* scales as N^{2/3} with N the population size. This scaling law implies that the average outbreak size <n> scales as N^{1/3}. Moreover, the maximal and the average duration of an outbreak grow as t_* ~ N^{1/3} and <t> ~ ln N, respectively.
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"abstract": "The spread of infectious diseases near the epidemic threshold is\ninvestigated. Scaling laws for the size and the duration of outbreaks\noriginating from a single infected individual in a large susceptible population\nare obtained. The maximal size of an outbreak n_* scales as N^{2/3} with N the\npopulation size. This scaling law implies that the average outbreak size \u003cn\u003e\nscales as N^{1/3}. Moreover, the maximal and the average duration of an\noutbreak grow as t_* ~ N^{1/3} and \u003ct\u003e ~ ln N, respectively.",
"arxiv_id": "q-bio/0402001",
"authors": [
"E. Ben-Naim",
"P. L. Krapivsky"
],
"categories": [
"q-bio.PE",
"cond-mat.stat-mech",
"math.PR"
],
"doi": "10.1103/PhysRevE.69.050901",
"journal_ref": "Phys. Rev. E 69, 050901R (2004)",
"title": "Size of Outbreaks Near the Epidemic Threshold",
"url": "https://arxiv.org/abs/q-bio/0402001"
},
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