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On the limiting behaviour of Downton's carrier epidemic in the case of a general infection mechanism

Published online by Cambridge University Press:  14 July 2016

James G. Booth*
Affiliation:
University of Florida
*
Postal address: Department of Statistics, University of Florida, Gainesville, FL 32611, USA.

Abstract

A generalization of Downton's (1968) carrier-borne epidemic process is considered in which the assumption of homogeneous mixing is replaced by a general infection mechanism. Using a method and notation similar to that of Gani and Purdue (1984), a recursive algorithm for the joint distribution of the total size and the total observed size of the epidemic is obtained.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1989 

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References

Booth, J., Gani, J., Malice, M.-P., Mansouri, H. and Maravankin, G. (1986) A general solution for the epidemic with carriers. Statist. Prob. Letters 4, 915.CrossRefGoogle Scholar
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