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The area under the infectives trajectory of the general stochastic epidemic

Published online by Cambridge University Press:  14 July 2016

F. Downton
F. Downton*
Affiliation:
University of Birmingham
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Abstract

If the cost of an epidemic is a linear function of the number of persons infected at any time, the total cost depends upon the area under the infectives trajectory. This note uses a combinatorial argument to show that for the general stochastic epidemic the distribution of this area may be expressed in terms of the probabilities of the ultimate size of the epidemic.

Keywords

GENERAL STOCHASTIC EPIDEMICEPIDEMIC COSTINFECTIVES TRAJECTORYSTOCHASTIC INTEGRALSSIZE OF EPIDEMICS
Type
Short Communications
Information
Journal of Applied Probability , Volume 9 , Issue 2 , June 1972 , pp. 414 - 417
Copyright
Copyright © Applied Probability Trust 1972 

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References

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