EXACT SOLUTION OF POPULATION REDISTRIBUTIONS IN A MIGRATION MODEL

Xue-Wen Wang, Li-Jie Zhang, Guo-Hong Yang and Xin-Jian Xu ()
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Xue-Wen Wang: Department of Physics, Shanghai University, Shanghai 200444, P. R. China
Li-Jie Zhang: Department of Physics, Shanghai University, Shanghai 200444, P. R. China
Guo-Hong Yang: Department of Physics, Shanghai University, Shanghai 200444, P. R. China
Xin-Jian Xu: Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China;

International Journal of Modern Physics C (IJMPC), 2013, vol. 24, issue 10, 1-9

Abstract: We study a migration model, in which individuals migrate from one community to another. The choices of the source communityiand the destination onejare proportional to some power of the population of$i\, (k^\alpha_i)$and$j\, (k^\beta_j)$, respectively. Both analytical calculation and numerical simulation show that the population distribution of communities in stationary states is determined by the parameters α and β. The distribution is widely homogeneous with a characteristic size ifα > β. Whereas, forα 0).

Keywords: Migration; nonlinear preference; Zipf's law; 89.75.Fb; 05.40.–a; 89.65.Gh (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1142/S0129183113500678

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