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The spread of infection in a heterogeneous population

Published online by Cambridge University Press:  14 July 2016

Violet Cane  and
Rosanne McNamee
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Abstract

A simple interaction model is proposed for describing variable meeting-rates in a population exposed to a contagious disease. In comparison with the usual assumption of a uniform meeting-rate it predicts, on average, a more rapid spread of infection initially and a slower spread finally; it also predicts that, for a given removal rate, an epidemic could develop among a smaller number of susceptibles.

Keywords

NON-HOMOGENEOUS MIXINGSIMPLE EPIDEMICEPIDEMIC WITH REMOVALS
Type
Part 4 — Human Populations
Information
Journal of Applied Probability , Volume 19 , Issue A , 1982 , pp. 173 - 184
Copyright
Copyright © 1982 Applied Probability Trust 

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References

Baroyan, ?. V., Genchikov, L. A., Rvachev, L. A. and Shashkov, V. A. (1969) An attempt at large-scale influenza epidemic modelling by means of a computer. Bull. Internat. Epidem. Assoc. 18, 22–31.Google Scholar
Kurtz, T. G. (1970) Solutions of ordinary differential equations as limits of pure jump Markov processes. J. Appl. Prob. 7, 49–58.Google Scholar
Kurtz, T. G. (1971) Limit theorems for sequences of jump Markov processes approximating ordinary differential processes. J. Appl. Prob. 8, 344–356.CrossRefGoogle Scholar
Mollison, D. (1977) Spatial contact models for ecological and epidemic spread. J. R. Statist. Soc. B 39, 283–326.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.Google Scholar
Watson, R. K. (1972) On an epidemic in a stratified population. J. Appl. Prob. 9, 659–666.Google Scholar