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


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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

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