DISCRETE MODEL OF IDEOLOGICAL STRUGGLE ACCOUNTING FOR MIGRATION

Nikolay K. Vitanov (), Marcel Ausloos and Giulia Rotundo ()
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Nikolay K. Vitanov: Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 4, Sofia, 1113, Bulgaria
Giulia Rotundo: Faculty of Economics, University of Tuscia, via del Paradiso 47, Viterbo, I-01100, Italy

Advances in Complex Systems (ACS), 2012, vol. 15, issue supp0, 1-20

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.

Keywords: Social dynamics; ideological struggle; migration (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (6)

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DOI: 10.1142/S021952591250049X

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