Size of Outbreaks Near the Epidemic Threshold

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dc.creatorBen-Naim, E.
dc.creatorKrapivsky, P. L.
dc.date2004-02-01
dc.date.accessioned2026-07-07T05:58:10Z
dc.date.available2026-07-07T05:58:10Z
dc.descriptionThe 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.
dc.description4 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/q-bio/0402001
dc.identifierhttp://arxiv.org/abs/q-bio/0402001
dc.identifierPhys. Rev. E 69, 050901R (2004)
dc.identifierdoi:10.1103/PhysRevE.69.050901
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88259
dc.subjectPopulations and Evolution
dc.subjectStatistical Mechanics
dc.subjectProbability
dc.titleSize of Outbreaks Near the Epidemic Threshold
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