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Exact Solution Of Population Redistributions In A Migration Model

Author

Listed:
  • 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;
    Institute of Systems Sciences, Shanghai University, Shanghai 200444, P. R. China)

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).

Suggested Citation

  • Xue-Wen Wang & Li-Jie Zhang & Guo-Hong Yang & Xin-Jian Xu, 2013. "Exact Solution Of Population Redistributions In A Migration Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(10), pages 1-9.
    • Handle: RePEc:wsi:ijmpcx:v:24:y:2013:i:10:n:s0129183113500678
    DOI: 10.1142/S0129183113500678
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