A mathematical model of the pressure of an extreme ideology on a society

Authors:
Francisco J. Santonja;Ana C. Tarazona;Rafael J. Villanueva
Affiliations:
Instituto de Matemática Multidisciplinar, Edificio 8G piso 2, Universidad Politécnica de Valencia, 46022 Valencia, Spain;Instituto de Matemática Multidisciplinar, Edificio 8G piso 2, Universidad Politécnica de Valencia, 46022 Valencia, Spain;Instituto de Matemática Multidisciplinar, Edificio 8G piso 2, Universidad Politécnica de Valencia, 46022 Valencia, Spain
Venue:
Computers & Mathematics with Applications
Year:
2008

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Abstract

Extreme behavior is produced by small groups, but affects a large amount of people. The fear, the usual strategy of these groups, influences the decisions of the whole population. In this paper we propose a dynamical mathematical model to study the ideological evolution of the population in a region where some groups want to get political goals through violence. After a classification of the subpopulations using data from votes obtained by political parties in general elections, model parameters have been estimated and future tendencies are studied.