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An optimal isolation policy for an epidemic

Published online by Cambridge University Press:  14 July 2016

Andris Abakuks
Andris Abakuks*
Affiliation:
University of Sussex
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Abstract

Policies of isolating infectives in the general stochastic epidemic are considered. With costs assigned to the infection and isolation of individuals, an optimal policy is found, which at any stage minimises the expected future cost. An optimal policy is also found for the general deterministic epidemic and the two policies are compared. Finally, some numerical examples are provided.

Keywords

EPIDEMICCOSTEXPECTED FUTURE SIZEOPTIMAL ISOLATION POLICY
Type
Research Papers
Information
Journal of Applied Probability , Volume 10 , Issue 2 , June 1973 , pp. 247 - 262
Copyright
Copyright © Applied Probability Trust 1973 

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References

[1] Bailey, N. T. J. (1957) The Mathematical Theory of Epidemics. Griffin, London.Google Scholar
[2] Daniels, H. E. (1967) The distribution of the total size of an epidemic. Proc. 5th. Berkeley Symp. 4, 281–293.Google Scholar
[3] Dietz, K. (1967) Epidemics and rumours: a survey. J. R. Statist. Soc. A, 130, 505–528.Google Scholar
[4] Gani, J. and Jerwood, D. (1972) The cost of a general stochastic epidemic. J. Appl. Prob. 9, 257–269.Google Scholar
[5] Jerwood, D. (1971) The cost of epidemics with removals. Research Report 93/DJ2, The Manchester-Sheffield School of Probability and Statistics.Google Scholar
[6] Kendall, D. G. (1956) Deterministic and stochastic epidemics in closed populations. Proc. 3rd Berkeley Symp. 4, 149–165.Google Scholar
[7] Whittle, P. (1955) The outcome of a stochastic epidemic — a note on Bailey's paper. Biometrika, 42, 116–122.Google Scholar