Mathematical Modeling Covid-19 Wave Structure of Distribution

For mathematical modeling of the spread of the Covid-19 epidemic, a wave structure, which represents a complex flow of epidemic events in the form of a set of simple epidemic flows (epidemic waves) is considered. To represent the wave structure we need to decompose a complex flow of epidemic events, given by statistics, into elementary flows. Mathematical models of the wave structure of the epidemic are represented by a set of elementary epidemic flows (waves) shifted along the time axis and different applications in the values of the parameters. Application of Covid-19 propagation waves allows not only to describe the basic concepts of the epidemic quantitatively but also build a reliable forecast of the spread of the epidemic. An important consequence of the Covid-19 wave pattern is the possibility of conducting a comparative parametric analysis of specific wave patterns of epidemic spread. Based on the results of the analysis we can assess the results of the epidemic control. The calculations of wave structures have been made for two European countries - Ukraine, Italy as well as the world leaders in the distribution of Covid-19 - the United States, Brazil and Russia.