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A note on the moments of the final size of the general epidemic model

Published online by Cambridge University Press:  14 July 2016

Ross Dunstan
Ross Dunstan*
Affiliation:
The Australian National University
*
∗Present address: School of Mathematical and Physical Sciences, Murdoch University, Murdoch, WA 6153, Australia.
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Abstract

In the general epidemic model we study the first two moments of the final size. Beginning with the backwards equation, algebraic methods are used to find their asymptotic series expansions as the population size increases.

Keywords

GENERAL EPIDEMICMEAN AND VARIANCE OF FINAL SIZEASYMPTOTIC SERIES EXPANSIONSNUMERICAL COMPARISONS
Type
Short Communications
Information
Journal of Applied Probability , Volume 17 , Issue 2 , June 1980 , pp. 532 - 538
Copyright
Copyright © Applied Probability Trust 1980 

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References

Abakuks, A. (1973) An optimal isolation policy for an epidemic. J. Appl. Prob. 10, 247–262.CrossRefGoogle Scholar
Feller, W. (1978) An Introduction to Probability Theory and its Applications, Vol. I. Wiley, New York.Google Scholar
Gani, J. and Jerwood, D. (1972) The cost of a general stochastic epidemic. J. Appl. Prob. 9, 257–269.CrossRefGoogle Scholar
Gani, J. and Shanbhag, D. N. (1974) An extension of Raikov's theorem derivable from a result in epidemic theory. Z. Wahrscheinlichkeitsth. 29, 33–37.CrossRefGoogle Scholar
Kendall, D. G. (1956) Deterministic and stochastic epidemics in closed populations. Proc. 3rd Berkeley Symp. Math. Statist. Prob. 4, 149–165.Google Scholar
Lefevre, C. (1978) The expected ultimate size of a carrier-borne epidemic. J. Appl. Prob. 15, 414–419.CrossRefGoogle Scholar