Optimal Management of The Economic System of The Region Taking into Account The Dynamics of Human Capital

Abstract

The article presents the numerical algorithm of solving the optimal management problem for a regional economic system adjusted for demographic dynamics in the conditions of scientific and technical and socio-educational progress. Based on the model of a regional economic system, the optimal management problem is considered. The transfer equation is used to model the amount of human capital, which takes into account budgetary and private investments made in human capital components: education, healthcare and culture To solve the problem numerically, a software system has been developed, which includes a database of demographic and economic parameters of the Udmurt Republic and implements a mathematical model of human capital dynamics, a forecast of demographic characteristics and an algorithm for solving the optimal management problem for a regional economic system. As a result of solving the optimal management problem, the optimal investment rates in human and production capital have been found, allowing the economic system to reach the trajectory of sustainable growth by 2022.