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Optimal control in epidemiology

Author

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  • Oluwaseun Sharomi

    (Khalifa University)

  • Tufail Malik

    (Khalifa University)

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.

Suggested Citation

  • Oluwaseun Sharomi & Tufail Malik, 2017. "Optimal control in epidemiology," Annals of Operations Research, Springer, vol. 251(1), pages 55-71, April.
    • Handle: RePEc:spr:annopr:v:251:y:2017:i:1:d:10.1007_s10479-015-1834-4
    DOI: 10.1007/s10479-015-1834-4
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    References listed on IDEAS

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    Cited by:

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    3. Michela Baccini & Giulia Cereda & Cecilia Viscardi, 2021. "The first wave of the SARS-CoV-2 epidemic in Tuscany (Italy): A SI2R2D compartmental model with uncertainty evaluation," PLOS ONE, Public Library of Science, vol. 16(4), pages 1-23, April.
    4. Imane Abouelkheir & Fadwa El Kihal & Mostafa Rachik & Ilias Elmouki, 2019. "Optimal Impulse Vaccination Approach for an SIR Control Model with Short-Term Immunity," Mathematics, MDPI, vol. 7(5), pages 1-21, May.
    5. Mustafa Akan, 2019. "Optimal Control Theoretic Approach To Investment In Doctors," Copernican Journal of Finance & Accounting, Uniwersytet Mikolaja Kopernika, vol. 8(4), pages 91-111.
    6. Ozgur M. Araz & Mayteé Cruz-Aponte & Fernando A. Wilson & Brock W. Hanisch & Ruth S. Margalit, 2022. "An Analytic Framework for Effective Public Health Program Design Using Correctional Facilities," INFORMS Journal on Computing, INFORMS, vol. 34(1), pages 113-128, January.
    7. Chohan, Usman W., 2022. "Analyzing sound COVID-19 policy responses in developing countries: the case study of Pakistan," Studia z Polityki Publicznej / Public Policy Studies, Warsaw School of Economics, vol. 9(2), pages 1-22, August.
    8. Sharbayta, Sileshi Sintayehu & Buonomo, Bruno & d'Onofrio, Alberto & Abdi, Tadesse, 2022. "‘Period doubling’ induced by optimal control in a behavioral SIR epidemic model," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    9. Avram, Florin & Freddi, Lorenzo & Goreac, Dan, 2022. "Optimal control of a SIR epidemic with ICU constraints and target objectives," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    10. Fouad El Ouardighi & Eugene Khmelnitsky & Suresh P. Sethi, 2022. "Epidemic control with endogenous treatment capability under popular discontent and social fatigue," Production and Operations Management, Production and Operations Management Society, vol. 31(4), pages 1734-1752, April.

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