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On interarrival times in simple stochastic epidemic models

Published online by Cambridge University Press:  14 July 2016

Grace Yang  and
C. L. Chiang
Grace Yang*
Affiliation:
University of Maryland, College Park
C. L. Chiang*
Affiliation:
University of California, Berkeley
*
∗ Postal address: Department of Mathematics, University of Maryland, College Park, MD 20742, U.S.A.
∗∗ Postal address: Department of Biomedical and Environmental Sciences, School of Public Health, University of California, Berkeley, CA 94720, U.S.A.
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Abstract

The probability distributions of the size and the duration of simple stochastic epidemic models are well known. However, in most instances, the solutions are too complicated to be of practical use. In this note, interarrival times of the infectives are utilized to study asymptotic distributions of the duration of the epidemic for a class of simple epidemic models. A brief summary of the results on simple epidemic models in terms of interarrival times is included.

Keywords

ASYMPTOTIC DISTRIBUTIONS
Type
Short Communications
Information
Journal of Applied Probability , Volume 19 , Issue 4 , December 1982 , pp. 835 - 841
Copyright
Copyright © Applied Probability Trust 1982 

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Footnotes

Research supported in part by USDA under contract no. 53–32U4–1–208.

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