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Cybernetics And Systems Analysis
International Theoretical Science Journal
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UDC 519.21
O. Bogdanov1


1 V.M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine,
International Institute for Applied Systems Analysis, Laxenburg, Austria

oleksbogdanov@gmail.com

VARIANTS OF THE STOCHASTIC SIR MODELS AND VACCINATION STRATEGIES

Abstract. Several options of the stochastic SIR epidemics model with limited treatment are proposed. For these models, the effect of different vaccination strategies is demonstrated, and a method to obtain the optimal vaccination strategy minimizing the cost functional is proposed.

Keywords: stochastic model, epidemic, optimal strategy.


full text

REFERENCES

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  2. Ishikawa M. Optimal vaccination strategy under saturated treatment using the stochastic SIR model. Transactions of the Institute of Systems, Control and Information Engineers. 2013. Vol. 26, N 11. Р. 382–388.

  3. Pearl R. The biology of population growth. 1925. A.A. Knopf, New York. 261 p.

  4. Oksendal B. Stochastic differential equations: An introduction with applications, 6th edition. Berlin; Heidelberg: Springer, 2010. 379 p. https://doi.org/10.1007/978-3-642-14394-6.

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