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On the asymptotic size and duration of a class of epidemic models

Published online by Cambridge University Press:  14 July 2016

Åke Svensson*
Affiliation:
Stockholm University
*
Postal address: Department of Mathematical Statistics, Stockholm University, S-106 91 Stockholm, Sweden.

Abstract

Models for epidemic spread of infections are formulated by defining intensities for relevant counting processes. It is assumed that an infected individual passes through k stages of infectivity. The times spent in the different stages are random. Many well-known models for the spread of infections can be described in this way. The models can also be applied to describe other processes of epidemic character (such as models for rumour spreading). Asymptotic results are derived both for the size and for the duration of the epidemic.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1995 

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