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On an epidemic in a stratified population

Published online by Cambridge University Press:  14 July 2016

R. K. Watson
R. K. Watson*
Affiliation:
University of Melbourne
*
*Research supported by a C.S.I.R.O. studentship.
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Abstract

Most epidemic models previously studied have assumed a homogeneously mixing population. Instead of making this assumption, a population divided into classes is considered; and it is assumed that the degree of mixing between classes is less than that within classes. The stochastic model in this form is intractable and approximations are made, yielding results in reasonable agreement with simulation trials.

Keywords

STOCHASTIC EPIDEMIC MODELNONHOMOGENEOUS MIXINGDETERMINISTIC APPROXIMATIONSTOCHASTIC APPROXIMATIONSIMULATION
Type
Short Communications
Information
Journal of Applied Probability , Volume 9 , Issue 3 , June 1972 , pp. 659 - 666
Copyright
Copyright © Applied Probability Trust 1972 

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References

Bailey, N. T. J. (1957) The Mathematical Theory of Epidemics. Griffin, London; Hafner, New York.Google Scholar
Bartlett, M. S. (1957) Measles periodicity and community size. J. Roy. Statist. Soc. A 120, 48–70.CrossRefGoogle Scholar
Daley, D. J. (1967) Some aspects of Markov chains in queueing theory and epidemiology. Ph. D. thesis, University of Cambridge.Google Scholar
Haskey, H. W. (1957) Stochastic cross-infection between two otherwise isolated groups. Biometrika 44, 193–204.Google Scholar
Karlin, S. (1966) A First Course in Stochastic Processes. Academic Press, New York.Google Scholar
Rushton, S. and Mautner, A. J. (1955) The deterministic model of a simple epidemic for more than one community. Biometrika 42, 126–132.CrossRefGoogle Scholar