This article is cited in 12 papers

On the distribution of the size of an epidemicin a non-Markovian model

A. N. Startsev

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan

Abstract: Exact and asymptotic distributions are obtained for the size of an epidemic spreading in a closed uniformly mixing population when the periods of communication of infected individuals and the immunity levels of susceptible ones are specified by independent random variables under various assumptions on their distributions.

Keywords: distribution of the size of an epidemic, non-Markovian models, order statistics, limit theorems.

Received: 13.04.1995

DOI: 10.4213/tvp3204

 English version: Theory of Probability and its Applications, 1997, 41:4, 730–740

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