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Mean duration time for a general epidemic process

Published online by Cambridge University Press:  14 July 2016

Billard Gladstien
Billard Gladstien*
Affiliation:
Florida State University
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Abstract

A general epidemic process is said to be completed whenever the number of susceptibles or the number of infectives reduces to zero. The mean duration time for this process to be completed is derived.

Keywords

MEAN DURATION TIMESTOCHÀSTIC GENERAL EPIDEMIC PROCESS
Type
Research Papers
Information
Journal of Applied Probability , Volume 14 , Issue 2 , June 1977 , pp. 232 - 240
Copyright
Copyright © Applied Probability Trust 1977 

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References

Bailey, N. T. J. (1975) The Mathematical Theory of Infectious Diseases, 2nd ed. Griffin, London.Google Scholar
Keilson, J. (1974a) Sojourn times, exit times and jitter in multivariate Markov processes. Adv. Appl. Prob. 6, 747–756.CrossRefGoogle Scholar
Keilson, J. (1974b) Markov chain models — rarity and exponentiality. University of Rochester, Center for System Science Report No. 74–01.Google Scholar
Ridler-Rowe, C. J. (1967) On a stochastic model of an epidemic. J. Appl. Prob. 4, 19–33.CrossRefGoogle Scholar