Modeling Language Competition with Political Aspects

Alexander Medvedev, Oleg Kuzenkov

Abstract


The purpose of this study is to identify the prestige function of languages based on statistical data and to predict language dynamics. Methods. A mathematical model of a bilingual community is constructed, which takes into account the effect of language acquisition by children at an early age, the different prestige of languages for their speakers, and the effect of lexical similarity of competing languages. The model is studied using classical methods of the qualitative theory of dynamic systems with an unlimited increase in the time of dynamics. A study of the dependence of language parameters on time is conducted. For this purpose, a non-autonomous model is applied to natural data at different time periods. The prestige functions of the two most widespread languages of Ukraine are determined: Ukrainian, Russian. A forecast is made for language dynamics. Results. The dependence of the prestige of languages on time in the form of a logistic function is determined. Real statistical data on the Ukrainian-Russian language pair are used to model the language dynamics. An explanation is offered for the reasons for the rapid change in the number of native speakers. A forecast of language dynamics for the future is constructed. Conclusion. The dependence of the pres-tige of languages on time has been determined. A forecast of changes in the number of speakers of the languages under consideration has been made.

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References


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