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Carrier-borne epidemics in a community consisting of different groups

Published online by Cambridge University Press:  14 July 2016

Niels Becker
Niels Becker*
Affiliation:
La Trobe University, Bundoora, Australia
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Abstract

A model for the spread of a carrier-borne disease is considered which allows for individual variability. The solutions are used to study the effect of relaxing the assumption of ‘homogeneous mixing’. It is shown that the mean size of an epidemic outbreak is a minimum when the individuals are homogeneous.

Keywords

EPIDEMIC MODELSCARRIER-BORNE EPIDEMICSVARYING INFECTION RATESSPREAD OF DISEASES TO DIFFERENT GROUPS
Type
Research Papers
Information
Journal of Applied Probability , Volume 10 , Issue 3 , September 1973 , pp. 491 - 501
Copyright
Copyright © Applied Probability Trust 1973 

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References

Becker, N. G. (1970a) A stochastic model for two interacting populations. J. Appl. Prob. 7, 544–564.Google Scholar
Becker, N. G. (1970b) Mathematical Models in Epidemiology and Related Fields. . University of Sheffield.Google Scholar
Becker, N. G. (1973) Interaction between species: Some comparisons between deterministic and stochastic mo els. Rocky Mountain J. Mathematics 3, 53–68.Google Scholar
Dietz, K. and Downton, F. (1968) Carrier-borne epidemics with immigration. I — Immigration of both susceptibles and carriers. J. Appl. Prob. 5, 31–42.Google Scholar
Weiss, G. H. (1965) On the spread of epidemics by carriers. Biometrics 21, 481–490.Google Scholar