Modeling Depopulation Trends in the Community of Countries with Different Economic Development Levels

In this paper, an attempt is made to develop a mathematical model of population growth, based on socio-economic factors of the development of the countries’ community, as well as population migration. The author presents intermediate results of his review where he studies economic community, characterized by a very uneven development of regions. Mathematical model is proposed in which a conditional "center" and "periphery" ("global city" and "world village") are distinguished. From the analysis of the existing socio-economic conditions of development it follows that "periphery" traditionally acts as a demographic donor for the "center". Examples of such systems include, in particular, relations of the EU-Baltic republics, the EU-Ukraine, and Russia–EAEU countries. As an explanatory principle, it is proposed to use the concept of "institutional trap". From the mathematical model point of view, this means rigidly fixed coefficients of connection between the system elements implementing one-way connection (toward the "center"). Possible mechanisms, influencing the dynamics of the system through adopting appropriate managerial decisions, are discussed. Obtained results prove the importance of adequate mathematical models for optimizing the strategic management of society.