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Modeling language competition

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  • Patriarca, Marco
  • Leppänen, Teemu

Abstract

We consider a model introduced recently [Nature 424(2003)900], for describing competition between two languages, which in typical situations predicts the extinction of one of them. We generalize it by introducing a spatial dependence in terms of a reaction–diffusion equation. We show that in this generalized model both languages can survive, each mostly concentrated in a different geographical area.

Suggested Citation

  • Patriarca, Marco & Leppänen, Teemu, 2004. "Modeling language competition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(1), pages 296-299.
    • Handle: RePEc:eee:phsmap:v:338:y:2004:i:1:p:296-299
    DOI: 10.1016/j.physa.2004.02.056
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    Citations

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    Cited by:

    1. Bakalis, Evangelos & Galani, Alexandra, 2012. "Modeling language evolution: Aromanian, an endangered language in Greece," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4963-4969.
    2. Ausloos, Marcel, 2012. "Econophysics of a religious cult: The Antoinists in Belgium [1920–2000]," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(11), pages 3190-3197.
    3. Juan Carlos Bárcena‐Ruiz & Máximo Sedano, 2011. "Endogenous Timing In A Mixed Duopoly: Weighted Welfare And Price Competition," The Japanese Economic Review, Japanese Economic Association, vol. 62(4), pages 485-503, December.
    4. Michael Boissonneault & Paul Vogt, 2021. "A systematic and interdisciplinary review of mathematical models of language competition," Palgrave Communications, Palgrave Macmillan, vol. 8(1), pages 1-12, December.
    5. Nagore Iriberri & José-Ramón Uriarte, 2012. "Minority language and the stability of bilingual equilibria," Rationality and Society, , vol. 24(4), pages 442-462, November.
    6. Caridi, Inés & Nemiña, Francisco & Pinasco, Juan P. & Schiaffino, Pablo, 2013. "Schelling-voter model: An application to language competition," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 216-221.
    7. Nie, Lin-Fei & Teng, Zhi-Dong & Nieto, Juan J. & Jung, Il Hyo, 2015. "State impulsive control strategies for a two-languages competitive model with bilingualism and interlinguistic similarity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 430(C), pages 136-147.
    8. Bengt-Arne Wickström, 2011. "Welfare-optimal Status Planning of Minority Languages: An Economic Approach," CESifo Working Paper Series 3427, CESifo.
    9. Torsten Templin, 2019. "A language competition model for new minorities," Rationality and Society, , vol. 31(1), pages 40-69, February.
    10. Pinasco, J.P. & Romanelli, L., 2006. "Coexistence of Languages is possible," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(1), pages 355-360.
    11. Tiberiu Teşileanu & Hildegard Meyer-Ortmanns, 2006. "Competition Of Languages And Their Hamming Distance," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(02), pages 259-278.
    12. Templin, Torsten & Seidl, Andrea & Wickström, Bengt-Arne & Feichtinger, Gustav, 2016. "Optimal language policy for the preservation of a minority language," Mathematical Social Sciences, Elsevier, vol. 81(C), pages 8-21.
    13. Iriberri Etxebeste, Nagore & Uriarte Ayo, José Ramón, 2011. "Minority Language and the Stability of Bilingual Equilibria," IKERLANAK info:eu-repo/grantAgreeme, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    14. Patriarca, Marco & Heinsalu, Els, 2009. "Influence of geography on language competition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(2), pages 174-186.

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