Modeling the evolution of socio-economic systems using the methods of stability theory

Justification of the state socio-economic policy on the basis of its modeling, as a dynamic economic system, should take into account, along with income, the stratification by the level of income of the population. Obtaining a characteristic of the evolution of such a system and the tendencies of its stability is possible through a mathematical model, in particular, in the form of a set of differential equations (DE). Such equations allow us to describe the dynamics of the evolution of a simulated socio-economic system (SES) taking into account state protectionist or fiscal policies. The method of SES study by the method of phase portraits based on the constructed mathematical model is proposed. Using statistical data, parametric estimates of the consequences of the SES development policy pursued by the state were obtained. Based on the results of the model study, recommendations for adjusting the socio-economic policy are proposed.