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Solution of an infection model near threshold | David A Kessler
; Nadav M Shnerb
; | Date: |
30 Jun 2007 | Journal: | Phys Rev E, 76 (1 Pt 1), 010901 | Abstract: | We study the susceptible-infected-recovered model of epidemics in the vicinity of the threshold infectivity. We derive the distribution of total outbreak size in the limit of large population size N . This is accomplished by mapping the problem to the first passage time of a random walker subject to a drift that increases linearly with time. We recover the scaling results of Ben-Naim and Krapivsky that the effective maximal size of the outbreak scales as N2/3, with the average scaling as N1/3, with an explicit form for the scaling function. | Source: | PubMed, pmid17677403 | Other source: | [GID 555998] q-bio/0701024 | Services: | Forum | Review | Favorites |
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