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Optimal control in epidemiology

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Abstract

Mathematical modelling of infectious diseases has shown that combinations of isolation, quarantine, vaccine and treatment are often necessary in order to eliminate most infectious diseases. However, if they are not administered at the right time and in the right amount, the disease elimination will remain a difficult task. Optimal control theory has proven to be a successful tool in understanding ways to curtail the spread of infectious diseases by devising the optimal diseases intervention strategies. The method consists of minimizing the cost of infection or the cost of implementing the control, or both. This paper reviews the available literature on mathematical models that use optimal control theory to deduce the optimal strategies aimed at curtailing the spread of an infectious disease.

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Acknowledgments

The authors are grateful to the anonymous reviewers for their constructive comments, which have improved the manuscript.

Funding

This research was supported by Khalifa University Internal Research Fund (Grant No. 210032).

Conflict of Interest

The authors declare that they have no conflict of interest.

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Correspondence to Oluwaseun Sharomi.

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Sharomi, O., Malik, T. Optimal control in epidemiology. Ann Oper Res 251, 55–71 (2017). https://doi.org/10.1007/s10479-015-1834-4

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  • DOI: https://doi.org/10.1007/s10479-015-1834-4

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