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Discrete Model Of Ideological Struggle Accounting For Migration

Author

Listed:
  • NIKOLAY K. VITANOV

    (Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 4, Sofia, 1113, Bulgaria)

  • MARCEL AUSLOOS

    (GRAPES, Beauvallon Res., r. Belle Jardiniere, 483 Liege Angleur, B-4031, Euroland, Belgium)

  • GIULIA ROTUNDO

    (Faculty of Economics, University of Tuscia, via del Paradiso 47, Viterbo, I-01100, Italy)

Abstract

A discrete in time model of ideological competition is formulated taking into account population migration. The model is based on interactions betweenglobalpopulations of non-believers and followers of different ideologies. The complex dynamics of the attracting manifolds is investigated. Conversion from one ideology to another by means of (i) mass media influence and (ii) interpersonal relations is considered. Moreover a different birth rate is assumed for different ideologies, the rate being assumed to be positive for the reference population, made of initially non-believers. Ideological competition can happen in one or several regions in space. In the latter case, migration of non-believers and adepts is allowed; this leads to an enrichment of the ideological dynamics. Finally, the current ideological situation in the Arab countries and China is commented upon from the point of view of the presently developed mathematical model. The massive forced conversion by Ottoman Turks in the Balkans is briefly discussed.

Suggested Citation

  • Nikolay K. Vitanov & Marcel Ausloos & Giulia Rotundo, 2012. "Discrete Model Of Ideological Struggle Accounting For Migration," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 15(supp0), pages 1-20.
    • Handle: RePEc:wsi:acsxxx:v:15:y:2012:i:supp0:n:s021952591250049x
    DOI: 10.1142/S021952591250049X
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    Citations

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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. Roy Cerqueti & Gian Paolo Clemente & Rosanna Grassi, 2019. "A Network-Based Measure of the Socio-Economic Roots of the Migration Flows," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 146(1), pages 187-204, November.
    4. 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.
    5. 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).
    6. Stefani, Silvana & Ausloos, Marcel & González-Concepción, Concepción & Sonubi, Adeyemi & Gil-Fariña, Ma Candelaria & Pestano-Gabino, Celina & Moretto, Enrico, 2021. "Competing or collaborating, with no symmetrical behaviour: Leadership opportunities and winning strategies under stability," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 489-504.

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