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A note on the optimal control of carrier-borne epidemics

Published online by Cambridge University Press:  14 July 2016

K. Wickwire
K. Wickwire*
Affiliation:
University of Birmingham
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Abstract

A model is proposed for the control of a deterministic carrier-borne epidemic by immunising susceptibles. An optimal control is of bang-bang type and it is proved that it can have at most one switch.

Keywords

EPIDEMIC CONTROLPONTRYAGIN'S PRINCIPLEDYNAMIC PROGRAMMINGNON-LINEAR POPULATION MODELS
Type
Short Communications
Information
Journal of Applied Probability , Volume 12 , Issue 3 , September 1975 , pp. 565 - 568
Copyright
Copyright © Applied Probability Trust 1975 

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References

[1] Downton, F. (1968) The ultimate size of carrier-borne epidemics. Biometrika 55, 277–289.Google Scholar
[2] Lee, E. B. and Markus, L. (1967) Foundations of Optimal Control Theory. Wiley, New York.Google Scholar
[3] Morton, R. and Wickwire, K. (1974) On the optimal control of a deterministic epidemic. Adv. Appl. Prob. 6, 622–635.Google Scholar
[4] Weiss, G. H. (1965) On the spread of epidemics by carriers. Biometrika 21, 481–490.Google Scholar