Dynamics of Covid-19 Cases in Russia
Volga State University of Technology, Republic of Mari El, Yoshkar-Ola, Russia
Received Date: 23/03/2022; Published Date: 30/03/2022
*Corresponding author: Mazurkin PM, Volga State University of Technology, Republic of Mari El, Yoshkar-Ola, Russia
Cite this article: Mazurkin PM*. Dynamics of Covid-19 Cases in Russia.
A wavelet analysis was carried out using asymmetric wave functions of daily statistical data for all cases of Covid-19 dynamics in Russia from 03/01/2020 to 01/10/2022 for 681 days. The wavelet identification method showed that in Russia there is a very close oscillatory adaptation of the virus parameters. The main changes for 681 days occur in the first quantum of behavior in the form of a power function, which becomes the first component of the general formula according to Rene Descartes with asymmetric wavelets.
KEY WORDS: Covid-19; Cases; Dynamics; wavelet signals
In comparison with [1, 2], the date 03/01/2020 (instead of 03/25/2020) is taken as the beginning of the Covid-19 dynamics in Russia in this article due to the fact that the President and the government have already begun to take measures against penetration into the country since March 1 coronavirus. Therefore, the daily dynamics of the spread of the virus is only 681 days.
Based on the concept of oscillatory adaptation in nature and the use of trigonometric cosine sums, we proposed a method for determining  stable wave patterns from tables of quantitative data, especially from tables of statistical data [4, 5]. The purpose of the article is to conduct a wavelet analysis, to identify behavioral quanta by cases.
INITIAL DAILY DATA
Table 1 gives a fragment of daily data from the site https://стопкоронавирус.рф/information/ by cumulate Kca -all cases.
The average current rate of cases is calculated as follows: = .
Table 1: Current average rate of all Covid-19 cases in Russia.
FORMULA FOR IDENTIFICATION
We adhere to the concept of René Descartes on the need for a direct application of the general algebraic additive equation. An asymmetric wavelet signal is mathematically written according to the wave formula  of the form:
where y – indicator, i– component number (1), m– number of members (1), x– explanatory variable, a1..a3 – model parameters (Table 2), which takes values in CurveExpert-1.40 (URL: http://www.curveexpert.net/), Ai– amplitude (half) of the wavelet (axis y), Pi – half cycle (axis x).
The correlation coefficient above 0.999 corresponds to the level of adequacy "extremely strong factorial relationship". In this case, the third and fourth wavelets also have a high correlation coefficient.
DYNAMICS OF ALL CASES
As you can see (Fig. 1), the fourth term (similarly, the third one, which is not shown) is at the end of the dynamic series. The fourth term appeared approximately from 11/05/2020 and has an oscillation with a constant period of 2 56.17644 = 112.35 days.
Table 2: Parameters (1) of the average current speed of all cases of Covid-19
The fourth oscillation appeared 250 days after the start of virus registration. Therefore, it shows that the quantum of behavior is the result of the variability of Covid-19 in long phase transitions. Since the beginning of 2022, the fifth oscillation has already appeared due to the rapid spread, that is, the phase transition, of the Omicron virus. The high adequacy of wavelet analysis allows the Covid-19 parameters to be put on a par with the distributions of many genes , as well as many amino acids  in a variety of human foods.
- Mazurkin P (2021) Wave Patterns of cumulative dynamics for the parameters of Covid-19 in the Russian Federation from March 25 to December 31. J Math Stat Res 2021 3(1): 141-150.
- Mazurkin PM (2021) Waves of the dynamics of the rate of increase in the parameters of Covid-19 in Russia for 03/25/2020-12/31/2020 and the forecast of all cases until 08/31/2021 // Ann Math Phys 4(1): 048-065.
- Mazurkin PM (2014) Method of identification // International multidisciplinary scientific Geo Conference, Geology and Mining Ecology Management SGEM: 427-434.
- Mazurkin PM (2014) Identification of wave behavior of genes // Materials of biology, biochemistry and Biophysics». 25-26 November, 2014. Togliatti: TSU 12: 43-52.
- Mazurkin PM (2018) Correlative variation of the essential amino acids // Annal Biostat & Biomed Appli 2018. No 1(2): ABBA.MS.ID.000506. 14.