Concept of a dynamic gravity model for migration

The article deals with an approach to the construction of a dynamic gravity model for migration. It is shown that the concept of gravitational migration simulation finds its analogies in mathematical biology and econophysics. We propose a system of ordinary differential equations with constant coefficients describing the dynamics of the population, which takes into account gravitational interactions and is based on the basic models of interaction between conventional information, summarized by D.S. Chernavsky. We estimate the parameters of the system for federal districts of the Russian Federation, giving a substantive interpretation of the parameter values, and presenting a correspondent forecast.