Mathematical modeling of the spread of the coronavirus epidemic in the world and countries with the highest number of infected in the first half of 2020
- Authors: Koltsova E.M.1, Kurkina E.S.1,2, Vasetsky A.M.1
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Affiliations:
- Mendeleev University of Chemical Technology of Russia
- Lomonosow Moscow State University
- Issue: Vol 16, No 3 (2020)
- Pages: 61-68
- Section: Articles
- URL: https://journals.eco-vector.com/2541-8025/article/view/532451
- ID: 532451
Cite item
Abstract
Based on nonlinear dynamics methods, mathematical modeling of the spread of the COVID-19 coronavirus epidemic in the world and in the countries with the largest number of infected in the first half of 2020 was carried out: USA, Brazil, Russia, India. It was shown that for countries where strict restrictive measures were observed, the spread of the coronavirus epidemic COVID-19 fit on one wave with a small capacity, for a number of countries with violation of restrictive measures the spread of the epidemic fit on a wave superposition. For countries with large population mixing (Brazil, India), the spread of the coronavirus epidemic today also fits into a single wave, but with a huge capacity value (for Brazil, 80 million people, for India - 40 million people). It is estimated that the spread of the epidemic in the world today fits into 5 waves. The first two waves are caused by the spread of the epidemic in China (the first - in Wuhan), the third by the spread of the epidemic in European countries, the fourth mainly by the spread of the epidemic in Russia, the USA, the fifth wave is caused mainly by the spread of the epidemic in Latin America and South Asia. It was the fifth wave that led to the spread of the epidemic of the coronavirus COVID-19 entering a new phase, with an increase in the number of infected more than 100 thousand inhabitants. For all the studied countries and the world, for each of the superposition waves, the wave capacities and growth indicators were calculated. The local peaks of the waves and their ending times are determined.
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About the authors
Eleonora M. Koltsova
Mendeleev University of Chemical Technology of Russia
Email: kolts@muctr.ru
Dr. Sci. (Eng.), Prof.; Head of Department IСT Moscow, Russian Federation
Elena S. Kurkina
Mendeleev University of Chemical Technology of Russia; Lomonosow Moscow State University
Email: e.kurkina@rambler.ru
Dr. Sci. (Phys.-Math.), Assoc. Prof.; professor of Department IСT; leading researcher of Department BMK Moscow, Russian Federation
Aleksey M. Vasetsky
Mendeleev University of Chemical Technology of Russia
Email: amvas@muctr.ru
senior lecturer of Department IСT Moscow, Russian Federation
References
- Keeling M. J., Rohani P. Modeling infectious diseases in humans and animals. Princeton University Press. 2008.
- Murray J. D. Mathematical Biology: An introduction Springer. 2002.
- Tam K. M., Walker N., Moreno J. Projected Development of COVID-19 in Louisiana. arXiv preprint arXiv: 2004.02859. 2020.
- Blasius B. Power-law distribution in the number of confirmed COVID-19 cases. arXiv preprint arXiv: 2004.00940. 2020.
- Roques L. et al. Using early data to estimate the actual infection fatality ratio from COVID-19 in France. Biology. 2020. V. 9. №. 5. P. 97.
- Bjørnstad O. SEIR model. McMaster University. 2005. P. 1-8.
- COVID-19 Scenarios. [Электронный ресурс] URL: https://neherlab.org/covid19 (Дата обращения: 27.03.2020)
- Кольцова Э. М., Куркина Е. С., Васецкий А. М. Математическое моделирование распространения эпидемии коронавируса COVID-19 в Москве. Computational nanotechnology. 2020. Том. 7. №. 1. с. 99-105.
- Кольцова Э. М., Куркина Е. С., Васецкий А. М. Математическое моделирование распространения эпидемии коронавируса COVID-19 в ряде европейских, азиатских стран, Израиле и России. Проблемы экономики и юридической практики. 2020. №. 2. с.154-165.
- Кольцова Э.М., Гордеев Л.С. Методы синергетики в химии и химической технологии. М.: Химия, 1999. 256 c.
- URL: https://www.worldometers.info/coronavirus/
- URL: https://coronavirus-monitor.ru/coronavirus-v-rossii/
- Andrianov M.S., Bogolyubov S. A., Booth N.D., Dobretsov D.G., Ermakova K.P. Legitimacy: theory and practice: monography: edited by Tikhomirov Y.A., Subanova N.V. Institute of legislation and comparative law at the government of Russian Federation, Academy of the Prosecutor Generals office of Russian Federation. Moscow: Contract, 2017. 244 p.