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

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.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1979 

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