Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-24T14:50:01.396Z Has data issue: false hasContentIssue false

A note on the optimal control of carrier-borne epidemics

Published online by Cambridge University Press:  14 July 2016

K. Wickwire*
Affiliation:
University of Birmingham

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.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1975 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Downton, F. (1968) The ultimate size of carrier-borne epidemics. Biometrika 55, 277289.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, 622635.Google Scholar
[4] Weiss, G. H. (1965) On the spread of epidemics by carriers. Biometrika 21, 481490.Google Scholar