**7. Conclusions**

This paper has developed a mathematical model for dynamic migratory interaction of regional systems with locally stationary states described by corresponding entropy operators. The model incorporates random parameters, and their probabilistic characteristics—the probability density functions of system parameters and measurement noises—have been calculated using soft randomized machine learning. An example of migratory interaction modeling and testing has been given.

**Funding:** This work was supported by Russian Science Foundation (project No. 17-11-01220).

**Conflicts of Interest:** The author declares no conflict of interest.
