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General stochastic epidemic with recovery

Published online by Cambridge University Press:  14 July 2016

L. Billard
L. Billard*
Affiliation:
University of Waterloo, Ontario
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Abstract

The general epidemic model does not provide for an infective recovering and thence being susceptible to further infection in the course of the epidemic. By considering the case in which recovery can occur once, we show how the state probabilities can be found for the stochastic model. This is readily extended to allow recovery up to a finite number of times.

Keywords

GENERAL STOCHASTIC EPIDEMICRECOVERYSTATE PROBABILITIES
Type
Research Papers
Information
Journal of Applied Probability , Volume 12 , Issue 1 , March 1975 , pp. 29 - 38
Copyright
Copyright © Applied Probability Trust 1975 

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References

[1] Billard, L. (1973) Factorial moments and probabilities for the general stochastic epidemic. J. Appl. Prob. 10, 277–288.CrossRefGoogle Scholar
[2] Severo, N. C. (1967) Two theorems on solutions of differential-difference equations and applications to epidemic theory. J. Appl. Prob. 4, 271–280.CrossRefGoogle Scholar
[3] Severo, N. C. (1969a) A recursion theorem on solving differential-difference equations and applications to some stochastic processes. J. Appl. Prob. 6, 673–681.CrossRefGoogle Scholar
[4] Severo, N. C. (1969b) Right-shift processes. Proc. Nat. Acad. Sci. 64, 1162–1164.CrossRefGoogle ScholarPubMed