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The area under the trajectory of carriers in a carrier-borne epidemic

Published online by Cambridge University Press:  14 July 2016

Claude Lefèvre
Claude Lefèvre*
Affiliation:
Université Libre de Bruxelles
*
∗Postal address: Institut de Statistique, Université Libre de Bruxelles, Campus Plaine, Boulevard du Triomphe, B–1050, Bruxelles, Belgium.
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Abstract

This paper is concerned with the area under the trajectory of carriers in the Downton carrier-borne epidemic (1968). Its Laplace–Stieltjes transform is studied, and a recursive equation derived for it. Its mean is examined in some detail and the solution obtained is expressed as a power series in π, the proportion of the infected susceptibles becoming carriers.

Keywords

CARRIER-BORNE EPIDEMICSEXPECTED NUMBER OF SURVIVORSAREA UNDER THE TRAJECTORY OF CARRIERS
Type
Research Papers
Information
Journal of Applied Probability , Volume 16 , Issue 2 , June 1979 , pp. 231 - 241
Copyright
Copyright © Applied Probability Trust 1979 

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