Mathematical models of the epidemic dynamics and its investigation

An analysis of the epidemic dynamics was carried out. It was established that particular stages of the epidemic were processes of limited growth defined by two parameters: the total number of cases limit and the distinctive time required to reach the maximum number of cases per day. Nonlinear transformations of the morbidity measurements were presented allowing us to determine these parameters. Weekly and 1.5-month periods of fluctuation relative to the trend were established for coronavirus dynamics in Italy, the USA and the world. The correlation was determined between the number of tests and the number of recorded disease cases, allowing us to determine the maximum number of disease cases, which coincided with values determined by the limited growth model for the systems examined. The correlation was determined between the total number of disease cases and mortality rate.