Physics of Wave Processes and Radio SystemsPhysics of Wave Processes and Radio Systems1810-31892782-294XPovolzhskiy State University of Telecommunications and Informatics838210.18469/1810-3189.2020.23.4.116-122UnknownGenetic-mathematical modelling of the populations interactionVolobuevAndrey N.volobuev47@yandex.ruAdyshirin-ZadeKaira A.adysirinzade67@gmail.comAntipovaTatyana A.antipovata81@gmail.comSamara State Medical University1112202023411612211022021Copyright © 2020, Volobuev A., Adyshirin-Zade K., Antipova T.2020<p>The solution of the genetic-mathematical problem of interaction between the human population and the virus population in relation to the problem of the COVID-19 pandemic is presented. It is noted that the virus does not interact with the entire human body, as a set of complex organs, but with its individual cells. A mathematical model based on the HardyWeinberg law is used, consisting of two linear interdependent differential equations relatively to the frequency of an allele with different right sides. The equations reflect the time dynamics of human cells and virus populations during their interaction. In the equation for the virus population the right side is a constant value that characterizes the death of viruses due to the human immune system. In the equation for human cells population the right side depends linearly on the allele frequency of the virus population. The right side of this equation characterizes the death of a cell when a virus inserted in its DNA for its reproduction. Solutions of differential equations are found and the results of these solutions are analyzed. The duration of the pandemic was estimated using parameters of human liver cells and influenza virus.</p>Hardy–Weinberg lawpopulationscellsvirusestime of a lifeduration of pandemicзакон Харди – Вайнбергапопуляцииклеткивирусывремя жизнидлительность пандемии[Volobuev A.N. et al. Mathematical Genetics. Samara: ANO «Izdatel’stvo SNTs», 2020, 140 p. (In Russ.)][Fundamentals of General Biology. Ed. by E. Libberta; Trans. from German. Moscow: Mir, 1982, 440 p. (In Russ.)][Fogel’ F., Motul’ski A. Human Genetics. Vol. 1–3. Trans. from English. Moscow: Mir, 1990, 312 p. (In Russ.)][Li Ch. Introduction to Population Genetics. Trans. from English. Moscow: Mir, 1978, 135 p. (In Russ.)]