EXACT SOLUTION OF POPULATION REDISTRIBUTIONS IN A MIGRATION MODEL
We study a migration model, in which individuals migrate from one community to another. The choices of the source community i and the destination one j are proportional to some power of the population of i (k(i)(alpha)) and j (k(j)(beta)), respectively. Both analytical calculation and numerical simulation show that the population distribution of communities in stationary states is determined by the parameters alpha and beta. The distribution is widely homogeneous with a characteristic size if alpha > beta. Whereas, for alpha   0).
migration nonlinear preference zipf's law