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A variation of Weiss's carrier-borne epidemic model

Published online by Cambridge University Press:  14 July 2016

C. Routleff
C. Routleff*
Affiliation:
The University of Adelaide
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Abstract

A carrier-borne epidemic model, in which the carrier removal process is influenced by the number of detected infected individuals, is considered. The distribution of the total size of the epidemic is found and expressions for the expected ultimate size of the epidemic and the expected area under the trajectory of carriers are given.

Keywords

CARRIER-BORNE EPIDEMICEXPECTED ULTIMATE SIZEAREA UNDER CARRIER TRAJECTORY
Type
Short Communications
Information
Journal of Applied Probability , Volume 19 , Issue 2 , June 1982 , pp. 403 - 407
Copyright
Copyright © Applied Probability Trust 1982 

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References

Abakuks, A. (1973) An optimal isolation policy for an epidemic. J. Appl. Prob. 10, 247–262.Google Scholar
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Mcneil, D. R. (1970) Integral functionals of birth and death processes and relating limiting distributions. Ann. Math. Statist. 41, 480–485.Google Scholar
Weiss, G. H. (1965) On the spread of epidemics by carriers. Biometrics 21, 481–490.Google Scholar