Determination of model dynamics and behavior of functions in the gravity model of migration

Model description and forecasting of migration processes at the regional level is necessary to optimize the flow of labor resources between regional labor markets that arise new trends in migration and the reform of Russian society. Weak regulation of internal labor migration in the absence of a complete information base necessary for internal migrants to make a decision on the optimal choice of the destination region of migration leads to an increase in the share of labor migrants employed in the shadow sector of the economy, which reduces the potential of human capital in the regions. The social causes of migration are linked to life cycles and include the quality of public goods, including education, health, security, and infrastructure. According to the provisions of the synthetic theory of migration, the dynamics of migration channels depends on the degree of development of migration networks, through which information exchanges among potential migrants about the state of socio-economic systems of potential regions of migration attraction. The dynamics of information exchange using migration networks directly depends on the indicator of migration flow to the regions of attraction and the subsequent distribution of the information received among the migrants ’ environment. The model is divided into two parts and reflects the movement of the population from one departure region to an unlimited number of regions of attraction, as well as several departure regions to one region of attraction. The model results in dynamic trajectories that describe short-term trends in migration processes between regions.