Has been presents the results of system analysis and short-term forecasting of the impact of economic factors on the development of the epidemic process COVID-19 and assessment of opportunities of optimization of transport communications and logistics cooperation between countries with different socioeconomic and demographic development, as well as geographical position in the global pandemic COVID-19. A kinetic model of the development of the epidemic process caused by the SARS-CoV-2 virus, represented by a system of linear differential equations, is developed. As a result of the study of this mathematical model, the conditions for stabilization and limitation of the epidemic process are obtained. Multiple linear regression models have been developed that characterize the dynamics of morbidity and survival of patients in the epidemic process, taking into account such economic indicators as the price of a barrel of Brent oil, one Troy ounce of gold and silver, bitcoin, the exchange rate of the Chinese yuan to the Russian ruble, the dollar to the Russian ruble, the Chinese yuan to the dollar. Conducted research for a number of countries, including Australia,