  We discuss a mathematical model of migration channel based on the truncated
Waring distribution. The truncated Waring distribution is obtained for a more
general model of motion of substance through a channel containing finite number
of boxes. The model is applied then for case of migrants moving through a
channel consisting of finite number of countries or cities. The number of
migrants in the channel strongly depends on the number of migrants that enter
the channel through the country of entrance. It is shown that if the final
destination country is very popular then large percentage of migrants may
concentrate there.
