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Optimal Control Theoretic Approach To Investment In Doctors

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  • Mustafa Akan

    (Haliç University, Turkey)

Abstract

Health care is ever more important with aging population. Assuming the number of doctors per patient is one of the determinants of patient satisfaction, optimal investment in practitioner doctors, specialist doctors and foreign doctors are analyzed given the total number of doctors (domestic) are exogenously determined. The high cost of investment in specialist doctors are weighted against the high salaries of imported foreign doctors. An optimal control theory is employed to determine the optimal investment plans for the two alternative sources of specialist doctors to maximize the net (of costs) patient satisfaction over a fixed time horizon. It is found that a nation with insufficient number of specialist doctors at the beginning of the time horizon should increase the investment in local specialist doctors gradually while employing foreign doctors as to equate their salaries to the marginal satisfaction of the patients. An equilibrium point exists, and it is stable.

Suggested Citation

  • 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.
    • Handle: RePEc:cpn:umkcjf:v:8:y:2019:i:4:p:91-111
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    References listed on IDEAS

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    2. Rowthorn, Robert & Toxvaerd, Flavio, 2012. "The Optimal Control of Infectious Diseases via Prevention and Treatment," CEPR Discussion Papers 8925, C.E.P.R. Discussion Papers.
    3. Oluwaseun Sharomi & Tufail Malik, 2017. "Optimal control in epidemiology," Annals of Operations Research, Springer, vol. 251(1), pages 55-71, April.
    4. Scheffler, Richard M. & Arnold, Daniel R., 2019. "Projecting shortages and surpluses of doctors and nurses in the OECD: what looms ahead," Health Economics, Policy and Law, Cambridge University Press, vol. 14(2), pages 274-290, April.
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