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Matematicheskoe modelirovanie, 2023, Volume 35, Number 5, Pages 104–116
DOI: https://doi.org/10.20948/mm-2023-05-07
(Mi mm4465)
 

This article is cited in 2 scientific papers (total in 2 papers)

Whether there was a latent period of COVID-19 development in Saint Petersburg? Mathematical simulation results and facts

I. D. Kolesin, E. M. Zhitkova

St. Petersburg State University
Full-text PDF (438 kB) Citations (2)
References:
Abstract: The hypothesis of a latent period of development of the first wave of COVID-19 in St. Petersburg is being verified. According to this hypothesis, the appearance of the first patient was preceded by the latent formation of a local variant of the pathogen, caused by the introduction of the pathogen from outside and occurring in a mass of individuals with an asymptomatic course. A mathematical model with two developmental branches, asymptomatic and clinically manifest, was proposed. The possibility of exacerbation of the asymptomatic form or its completion is provided. Other features of the model include: accounting for asymptomatic forms, mild and severe forms of the disease, a decline in population immunity due to the genetic drift of the pathogen. Reception of sequential identification of model in conditions of shortage of data is proposed. It is demonstrated that verification of the mathematical model requires a sufficiently large number of asymptomatic individuals at the time of discovery of the first patient, which is an argument in favor of the validity of the hypothesis.
Keywords: asymptomatic infections, latency period, local variant of the pathogen.
Received: 03.10.2022
Revised: 06.02.2023
Accepted: 06.03.2023
English version:
Mathematical Models and Computer Simulations, 2023, Volume 15, Issue 6, Pages 1037–1044
DOI: https://doi.org/10.1134/S2070048223060133
Document Type: Article
Language: Russian
Citation: I. D. Kolesin, E. M. Zhitkova, “Whether there was a latent period of COVID-19 development in Saint Petersburg? Mathematical simulation results and facts”, Matem. Mod., 35:5 (2023), 104–116; Math. Models Comput. Simul., 15:6 (2023), 1037–1044
Citation in format AMSBIB
\Bibitem{KolZhi23}
\by I.~D.~Kolesin, E.~M.~Zhitkova
\paper Whether there was a latent period of COVID-19 development in Saint Petersburg? Mathematical simulation results and facts
\jour Matem. Mod.
\yr 2023
\vol 35
\issue 5
\pages 104--116
\mathnet{http://mi.mathnet.ru/mm4465}
\crossref{https://doi.org/10.20948/mm-2023-05-07}
\transl
\jour Math. Models Comput. Simul.
\yr 2023
\vol 15
\issue 6
\pages 1037--1044
\crossref{https://doi.org/10.1134/S2070048223060133}
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  • https://www.mathnet.ru/eng/mm/v35/i5/p104
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Full-text PDF :11
    References:19
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