UDC 519.21
1 V.M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
 oleksbogdanov@gmail.com
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OPTIMAL VACCINATION STRATEGY IN THE STOCHASTIC
EPIDEMIC LIMITED-TREATMENT MODEL
Abstract. The author analyzes the stochastic SIR epidemic model with vaccination and limited treatment.
A method to obtain the optimal vaccination strategy minimizing the cost functional is proposed.
Keywords: stochastic model, epidemic, optimal strategy.
FULL TEXT
REFERENCES
- Bogdanov O., Knopov P. Stochastic models in the problems of predicting the epidemiological situation. Cybernetics and Systems Analysis. 2022. Vol. 58, No. 1. P. 58–64.
- 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. P. 382–388.
- Oksendal B. Stochastic differential equations: an introduction with applications, 6th edition, 2010. Springer: Berlin: Heidelberg. 379 p.
- Flemming W.H. Some Markovian Optimization Problems. Journal of Mathematics and Mechanics. 1963. vol. 12, N. 1. P. 131–140.
