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On the size distribution for some epidemic models

Published online by Cambridge University Press:  14 July 2016

Ray Watson
Ray Watson*
Affiliation:
University of Melbourne
*
∗Postal address: Department of Statistics, Richard Berry Building, University of Melbourne, Parkville, Victoria 3052, Australia.
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Abstract

We consider the standard epidemic model and several extensions of this model, including Downton's carrier-borne epidemic model. A random time-scale transformation is used to obtain equations for the size distribution and to derive asymptotic approximations for the size distribution for each of the models

Keywords

APPROXIMATIONEPIDEMIC MODELRANDOM TIME-SCALE TRANSFORMATIONSIZE DISTRIBUTION
Type
Research Papers
Information
Journal of Applied Probability , Volume 17 , Issue 4 , December 1980 , pp. 912 - 921
Copyright
Copyright © Applied Probability Trust 

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