COVID-19 Pandemic Course 2020–2022: Description by Methods of Mathematical Statistics and Discrete Mathematical Analysis

The paper describes the course of the COVID-19 pandemic using a combination of mathematical statistics and discrete mathematical analysis (DMA) methods. The method of regression derivatives and FCARS algorithm as components of DMA will be for the first time tested outside of geophysics problems. The...

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Main Authors: Gvishiani Alexei, Odintsova Anastasiya, Rovenskaya Elena, Boyarshinov Grigory, Belov Ivan, Dobrovolsky Michael
Format: Article
Language:English
Published: Russian Academy of Sciences, The Geophysical Center 2023-06-01
Series:Russian Journal of Earth Sciences
Subjects:
Online Access:http://doi.org/10.2205/2023ES000839
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author Gvishiani Alexei
Odintsova Anastasiya
Rovenskaya Elena
Boyarshinov Grigory
Belov Ivan
Dobrovolsky Michael
author_facet Gvishiani Alexei
Odintsova Anastasiya
Rovenskaya Elena
Boyarshinov Grigory
Belov Ivan
Dobrovolsky Michael
author_sort Gvishiani Alexei
collection DOAJ
description The paper describes the course of the COVID-19 pandemic using a combination of mathematical statistics and discrete mathematical analysis (DMA) methods. The method of regression derivatives and FCARS algorithm as components of DMA will be for the first time tested outside of geophysics problems. The algorithm is applied to time series of the number of new cases of COVID-19 infections per day for some regions of Russia and the Republic of Austria. This allowed to assess the nature and anomalies of pandemic spread as well as restrictive measures and decisions taken in terms of the administration of countries and territories. It was shown that these methods can be used to identify time intervals of change in the nature of the incidence rate and areas with the most severe course of the epidemic. This made it possible to identify the most significant restrictive measures that allowed to reduce the growth of the disease.
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publishDate 2023-06-01
publisher Russian Academy of Sciences, The Geophysical Center
record_format Article
series Russian Journal of Earth Sciences
spelling doaj-art-e63b413a5f954c668fa24e3cc62e9d9b2025-07-31T08:24:16ZengRussian Academy of Sciences, The Geophysical CenterRussian Journal of Earth Sciences1681-12082023-06-0123212010.2205/2023ES000839COVID-19 Pandemic Course 2020–2022: Description by Methods of Mathematical Statistics and Discrete Mathematical AnalysisGvishiani Alexei0https://orcid.org/0000-0002-4874-7475Odintsova Anastasiya1Rovenskaya Elena2Boyarshinov Grigory3Belov Ivan4Dobrovolsky Michael5https://orcid.org/0000-0001-6930-3331Geophysical Center of the Russian Academy of SciencesGeophysical Center of the Russian Academy of Sciences, Moscow, RussiaInternational Institute for Applied Systems Analysis (IIASA)GC RASGeophysical Center of the Russian Academy of SciencesGeophysical Center of the Russian Academy of SciencesThe paper describes the course of the COVID-19 pandemic using a combination of mathematical statistics and discrete mathematical analysis (DMA) methods. The method of regression derivatives and FCARS algorithm as components of DMA will be for the first time tested outside of geophysics problems. The algorithm is applied to time series of the number of new cases of COVID-19 infections per day for some regions of Russia and the Republic of Austria. This allowed to assess the nature and anomalies of pandemic spread as well as restrictive measures and decisions taken in terms of the administration of countries and territories. It was shown that these methods can be used to identify time intervals of change in the nature of the incidence rate and areas with the most severe course of the epidemic. This made it possible to identify the most significant restrictive measures that allowed to reduce the growth of the disease.http://doi.org/10.2205/2023ES000839COVID-19 DMA statistics data analysis
spellingShingle Gvishiani Alexei
Odintsova Anastasiya
Rovenskaya Elena
Boyarshinov Grigory
Belov Ivan
Dobrovolsky Michael
COVID-19 Pandemic Course 2020–2022: Description by Methods of Mathematical Statistics and Discrete Mathematical Analysis
Russian Journal of Earth Sciences
COVID-19
DMA
statistics
data analysis
title COVID-19 Pandemic Course 2020–2022: Description by Methods of Mathematical Statistics and Discrete Mathematical Analysis
title_full COVID-19 Pandemic Course 2020–2022: Description by Methods of Mathematical Statistics and Discrete Mathematical Analysis
title_fullStr COVID-19 Pandemic Course 2020–2022: Description by Methods of Mathematical Statistics and Discrete Mathematical Analysis
title_full_unstemmed COVID-19 Pandemic Course 2020–2022: Description by Methods of Mathematical Statistics and Discrete Mathematical Analysis
title_short COVID-19 Pandemic Course 2020–2022: Description by Methods of Mathematical Statistics and Discrete Mathematical Analysis
title_sort covid 19 pandemic course 2020 2022 description by methods of mathematical statistics and discrete mathematical analysis
topic COVID-19
DMA
statistics
data analysis
url http://doi.org/10.2205/2023ES000839
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