Model Representation of Adjustable Differentiation of Regional Socio-Economic Systems

Introduction. According to the law of differentiation, the uneven development of the elements of the system leads to its heterogeneity and is a necessary precondition for the process of evolution. By weakening the links between the elements of the system, differentiation initiates disturbances during coordination processes. The objectively existing contradiction in the organization of socio-economic systems between coordination and differentiation can be overcome by managing the process of differentiation of the elements of the system. The aim of the study is to build an economic and mathematical model of regulated differentiation of regional socio-economic systems (subjects of the Russian Federation, the country as a whole), allowing to establish the conditions and limitations of equilibrium trajectories of their functioning, as well as to determine the parameters of differentiation that stimulates economic growth. Materials and Methods. The hypothesis of the study is an assumption about the influence of intra-territorial differentiation on economic growth and socio-economic development of the region. The methodological approach based on the representation of the model of uneven development of territories in comparison with the dynamic characteristics of their economic development is proposed and implemented. The approach is based on the study of the properties of nonlinear autonomous dynamic systems. The model is presented in the form of a system of differential equations in the space of values of the decile coefficient of differentiation and gross regional product per capita. Results. The calculations carried out on statistical data for the constituent entities of the Russian Federation for 2 years empirically confirmed the hypothesis put forward about the impact of intra-territorial differentiation on the economic development of the constituent entities of the Russian Federation. The results obtained complement the theoretical ideas about the stimulating effects of uneven territorial development and confirm the consistency of the provisions of the concept of regulated differentiation of socio-economic development of territories. Discussion and Conclusion. The scope of application of the research results consists in the possibility of building a dynamic economic-mathematical model of regulated differentiation of regional socio-economic systems (subjects of the Russian Federation, the country as a whole), allowing to determine the parameters of differentiation that stimulates economic growth, and the development on its basis of normative strategies for territorial development.