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A simple deterministic epidemic in several related growing communities

Published online by Cambridge University Press:  14 July 2016

J. Gani
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Abstract

This paper first considers a simple deterministic epidemic in a growing population. It then examines a simple deterministic epidemic in several related growing communities, where infection is transmitted between individuals both within and across the communities. An explicit parametric solution is derived for the number of susceptibles in these communities as a function of time.

Keywords

SIMPLE EPIDEMICDIFFERENTIAL EQUATIONSPARAMETRIC SOLUTION

MSC classification

Primary: 92D30: Epidemiology
Type
Part 1 Epidemic processes
Information
Journal of Applied Probability , Volume 31 , Issue A , 1994 , pp. 17 - 25
Copyright
Copyright © Applied Probability Trust 1994 

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References

Bailey, N. T. J. (1975) The Mathematical Theory of Infectious Diseases. Griffin, London.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