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Stochastic Modeling of Dynamics of the Spread of COVID-19 Infection Taking Into Account the Heterogeneity of Population According To Immunological, Clinical and Epidemiological Criteria [Стохастическое моделирование динамики распространения Ковид-19 с учетом неоднородности населения по иммунологическим, клиническим и эпидемиологическим критериям] Full article

Journal Математическая биология и биоинформатика (Mathematical Biology and Bioinformatics)
ISSN: 1994-6538
Output data Year: 2022, Volume: 17, Number: 1, Pages: 43-81 Pages count : 39 DOI: 10.17537/2022.17.43
Tags Computational experiment; Continuous-discrete random process; Covid-19 infection; Epidemic spread; Monte carlo method; Seroprevalence; Stage-dependent model
Authors Pertsev N. 1 , Loginov K. 1 , Lukashev A. 2 , Vakulenko Yu. 2
Affiliations
1 Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russian Federation
2 Sechenov First Moscow State Medical University, Moscow, Russian Federation

Funding (1)

1 Russian Foundation for Basic Research 20-04-60157

Abstract: Here we present a stochastic model of the spread of Covid-19 infection in a certain region. The model is a continuous-discrete random process that takes into account a number of parallel processes, such as the non-stationary influx of latently infected individuals into the region, the passage by individuals of various stages of an infectious disease, the vaccination of the population, and the re-infection of some of the recovered and vaccinated individuals. The duration of stay of individuals in various stages of an infectious disease is described using distributions other than exponential. An algorithm for numerical statistical modeling of the dynamics of the spread of infection among the population of the region based on the Monte Carlo method has been developed. To calibrate the model, we used data describing the level of seroprevalence of the population of the Novosibirsk Region in the first wave of the Covid-19 epidemic in 2020. The results of computational experiments with the model are presented for studying the dynamics of the spread of infection under vaccination of the population of the region
Cite: Pertsev N. , Loginov K. , Lukashev A. , Vakulenko Y.
Stochastic Modeling of Dynamics of the Spread of COVID-19 Infection Taking Into Account the Heterogeneity of Population According To Immunological, Clinical and Epidemiological Criteria [Стохастическое моделирование динамики распространения Ковид-19 с учетом неоднородности населения по иммунологическим, клиническим и эпидемиологическим критериям]
Математическая биология и биоинформатика (Mathematical Biology and Bioinformatics). 2022. V.17. N1. P.43-81. DOI: 10.17537/2022.17.43 Scopus РИНЦ OpenAlex
Dates:
Submitted: May 24, 2022
Published online: Jun 20, 2022
Identifiers:
Scopus: 2-s2.0-85135057910
Elibrary: 49295836
OpenAlex: W4283158197
Citing:
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Scopus 5
OpenAlex 6
Elibrary 7
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