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Box model of migration channels

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  • Vitanov, Nikolay K.
  • Vitanov, Kaloyan N.

Abstract

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.

Suggested Citation

  • Vitanov, Nikolay K. & Vitanov, Kaloyan N., 2016. "Box model of migration channels," Mathematical Social Sciences, Elsevier, vol. 80(C), pages 108-114.
    • Handle: RePEc:eee:matsoc:v:80:y:2016:i:c:p:108-114
    DOI: 10.1016/j.mathsocsci.2016.02.001
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    References listed on IDEAS

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    1. J Ledent, 1980. "Multistate Life Tables: Movement versus Transition Perspectives," Environment and Planning A, , vol. 12(5), pages 533-562, May.
    2. DAVID S. HACHEN Jr., 1988. "The Competing Risks Model," Sociological Methods & Research, , vol. 17(1), pages 21-54, August.
    3. James Raymer, 2007. "The Estimation of International Migration Flows: A General Technique Focused on the Origin-Destination Association Structure," Environment and Planning A, , vol. 39(4), pages 985-995, April.
    4. A Stewart Fotheringham & Tomoki Nakaya & Keiji Yano & Stan Openshaw & Yoshitaka Ishikawa, 2001. "Hierarchical Destination Choice and Spatial Interaction Modelling: A Simulation Experiment," Environment and Planning A, , vol. 33(5), pages 901-920, May.
    5. Vitanov, Nikolay K. & Dimitrova, Zlatinka I. & Ausloos, Marcel, 2010. "Verhulst–Lotka–Volterra (VLV) model of ideological struggle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4970-4980.
    6. I Bracken & J Bates, 1983. "Analysis of Gross Migration Profiles in England and Wales: Some Developments in Classification," Environment and Planning A, , vol. 15(3), pages 343-355, March.
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    Cited by:

    1. Vitanov, Nikolay K. & Vitanov, Kaloyan N., 2018. "Discrete-time model for a motion of substance in a channel of a network with application to channels of human migration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 635-650.
    2. Ioana Manafi & Daniela Marinescu & Monica Roman & Karen Hemming, 2017. "Mobility in Europe: Recent Trends from a Cluster Analysis," The AMFITEATRU ECONOMIC journal, Academy of Economic Studies - Bucharest, Romania, vol. 19(46), pages 711-711, August.
    3. Vitanov, Nikolay K. & Vitanov, Kaloyan N., 2018. "On the motion of substance in a channel of a network and human migration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1277-1294.
    4. Vitanov, Nikolay K. & Borisov, Roumen & Vitanov, Kaloyan N., 2021. "On the motion of substance in a channel and growth of random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).

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