Migration modeling as application of alpha–stable distribution

Autoři děkují za finanční podporu grantu SGS17/196/OHK4/3T/14 ČVUT v Praze, v jehož rámci byl tento článek vytvořen.Migration is very wide term describing any case of object movement in given space. Migration phenomena can be modelled from a theoretical as well as an empirical perspective. Many researches have been analysing the causes of this timely event to give the answer to questions who, why, when and where people migrate and what are the social and economic consequences for migrants as well as for those in the origin and destination areas This study is focused on theoretical background of anomalous diffusion of points in 2D spaces. Meanwhile the theory of traditional diffusion is connected with Gaussian distribution and Brownian motion, the anomalous diffusion is driven by alpha–stable distribution and particles perform Lévy flights. Basic properties of stochastic migration model with anomalous diffusion and various boundary conditions are demonstrated and compared with traditional diffusion. This approach will be useful for more complex investigation of economical subject migration involving deterministic driving forces, spatial inhomogeneity and complex geographical boundary conditions in the future