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JOURNALS // Diskretnyi Analiz i Issledovanie Operatsii // Archive

Diskretn. Anal. Issled. Oper., 2023 Volume 30, Issue 1, Pages 40–66 (Mi da1315)

Simulation of COVID-19 propagation scenarios in the Republic of Kazakhstan based on regularization of agent model

O. I. Krivorotkoabc, S. I. Kabanikhinac, M. A. Bektemesovd, M. I. Sosnovskayac, A. V. Neverovbc

a Sobolev Institute of Mathematics, 4 Acad. Koptyug Avenue, 630090 Novosibirsk, Russia
b Institute of Computational Mathematics and Mathematical Geophysics, 6 Acad. Lavrentiev Avenue, 630090 Novosibirsk, Russia
c Novosibirsk State University, 2 Pirogov Street, 630090 Novosibirsk, Russia
d Abai Kazakh National Pedagogical University, 13 Dostyk Avenue, 050010 Almaty, Kazakhstan

Abstract: An algorithm for modeling scenarios for new diagnosed cases of COVID-19 in the Republic of Kazakhstan is proposed. The algorithm is based on the treatment of incomplete epidemiological data and the inverse problem solving for the agent-based model (ABM) using a set of available epidemiological data. The main tool for building the ABM is the open library Covasim. In the event of a sudden change in the situation (appearance of a new strain, removal or introduction of restrictive measures, etc.), the model parameters are updated with additional information for the previous month (data assimilation). The inverse problem was solved by tree Parzen estimates optimization. As an example, two scenarios of COVID-19 propagation are given, calculated on December 12, 2021 for the period up to January 20, 2022. The scenario, which took into account the New Year holidays (published on December 12, 2021 on covid19-modeling.ru), almost coincided with what happened in reality (the error was 0,2%). Tab. 3, illustr. 6, bibliogr. 33.

Keywords: agent oriented model, COVID-19, inverse problem, optimization, regularization, scenario, index of virus reproduction.

UDC: 519.8+518.25

Received: 04.07.2022
Revised: 27.09.2022
Accepted: 28.09.2022

DOI: 10.33048/daio.2023.30.746


 English version:
Journal of Applied and Industrial Mathematics, 2023, 17:1, 94–109

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© Steklov Math. Inst. of RAS, 2025