In order to participate in the seminar, on February 5 after 4:45 pm (UTC+7) you should connect to the Zoom conference via the following link or manually using the Zoom conference ID 934 7387 9731.The COVID-19 pandemic is affecting the evolution of the Russian economy. In this situation there are, in our opinion, two sets of important questions. On one hand, there is the drop of income of the population and its impact on the economic behavior of households. On the other hand we have the vital role of analysis of financial benefits for industrial sector, which is the main driver of economic growth in a limited budget sceanrio. In describing and analyzing the situation of households, the stability of the consumer lending market plays a key role. The consistency of this problem is drawn to the fact that consumer credit, since the beginning of the century, has a high social value. In our work, we investigated an optimal control problem that simulates the economic behavior of a representative household. The theorem of the condition for the existence of optimality in the form of the Pontryagin-Clark maximum is proved and the synthesis of the optimal control is developed. The model was identified according to Russian statistics. With its help, the problem of consumer lending in Russia and the impact on the economic situation of households of the COVID-19 pandemic were analyzed. The calculations show that in current conditions one of the biggest threats to the stability of economic relations is represented by the consumer lending market in the provincial regions of Russia. At the same time, the key rate of the Central Bank has a significant impact on the level of debt load of the poor. Its reduction enhances the stabilization of the situation.
A socially significant factor influencing the formation of the population's income is the implementation of state support for production in the labor-intensive sectors of the economy. To assess the effectiveness of these measures, we used a production model with a shortage of working capital and unstable demand for manufactured products. From a formal point of view, the model is formalized as the Bellman equation, for which an explicit solution has been found, giving the value of the company in labor-intensive sectors, depending on real indicators of its performance and economic conditions. Model calculations show that measures to stimulate demand for end products are more effective than partial compensation of interest payments on companies' debts.
