Mathematical model of the system of medical support of the population using the diffusion-non-monotonic law of disease time distribution

  • Volodymyr Mirnenko National University of Defense of Ukraine named after Ivan Chernyakhovsky
  • Oleg Shekera National Medical Academy of Postgraduate Education. P.L. Shupika
  • Sergey Pustovoy Engineering company “Kotris”
  • Peter Yablonsky National University of Defense of Ukraine named after Ivan Chernyakhovsky
DOI: https://doi.org/10.5281/zenodo.1450568
Keywords: diffusion-non-monotonous distribution law, the frequency of medical examinations, the accuracy of diagnosis, the duration of treatment, the scale and shape

Abstract

The article proposes a mathematical model of medical care for the population using the diffusion-non-monotonic law of time distribution of diseases. The analytical dependence of the human health coefficient on the level of his diseases and the main characteristics of the health care system is established: the frequency of dispensary examinations, the duration of treatment, the quality of diagnosis at the clinic and hospital, the probability of seeking medical help, and false requests for medical care. The existence of an optimal period for conducting clinical examinations, at which the maximum level of efficiency is achieved, is shown.

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References

Iablonskyi P.M. (2012). Formalizovana model funktsionuvannia systemy medychnoho obsluhovuvannia naselennia. /Shekera O.H., Yablonskyi P.M., Shekera O.O., Melnyk D.V., Kukharchuk Kh.M., Panasenko.M.S. // Zdorovia suspilstva. No3. Kyiv : Mizhnarodna asotsiatsiia «Zdorovia suspilstva». P. 130 –131. [in Ukraine]

Mirnenko, V., Yablonsky , P., Koskov , Y., & Litvinko, S. (2017). The mathematical model of medical servicing of servicemen with the use semi-Markov stochastic process theory. Journal of Scientific Papers ʽʽSocial Development and Security’’, 2(2), 12 - 24. https://doi.org/10.5281/zenodo.1117937

Gertsbakh I.B.(1969) Modeli profilaktyky[Models of prevention].Moscow : Sovet·skoe radyo, 1969. 216 p.[in Russia].

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Published
2018-10-06
How to Cite
Mirnenko, V., Shekera, O., Pustovoy, S., & Yablonsky, P. (2018). Mathematical model of the system of medical support of the population using the diffusion-non-monotonic law of disease time distribution. Social Development and Security, 7(5), 21-31. https://doi.org/10.5281/zenodo.1450568
Issue
Vol. 7 No. 5 (2018)
Section
Articles

Copyright (c) 2018 Volodymyr Mirnenko, Oleg Shekera, Sergey Pustovoy, Peter Yablonsky

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