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Original Articles

The Future of Bilingualism: An Application of the Baggs and Freedman Model

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Pages 267-284 | Published online: 28 Oct 2008

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John Wyburn. (2018) Media pressures on Welsh language preservation. The Journal of Mathematical Sociology 42:1, pages 37-46.
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J. F. Gomez-Aguilar. (2017) New bilingualism model based on fractional operators with Mittag-Leffler kernel. The Journal of Mathematical Sociology 41:3, pages 172-184.
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JOHN WYBURN & JOHN HAYWARD. (2010) A Model of Language-Group Interaction and Evolution Including Language Acquisition Planning. The Journal of Mathematical Sociology 34:3, pages 167-200.
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D.A. Ammosov, A.V. Grigorev, S.P. Stepanov, N.V. Malysheva & L.S. Zamorshchikova. (2023) Numerical simulation of language interactions using online coupled Generalized Multiscale Finite Element Method. Journal of Computational and Applied Mathematics 423, pages 114962.
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Maria Díaz & Jennifer Switkes. (2021) Speaking out: A mathematical model of language preservation. Heliyon 7:5, pages e06975.
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Michael Boissonneault & Paul Vogt. (2021) A systematic and interdisciplinary review of mathematical models of language competition. Humanities and Social Sciences Communications 8:1.
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Marco Patriarca, Els Heinsalu & Jean Leó Leonard. 2020. Languages in Space and Time. Languages in Space and Time 179 196 .
José Gómez-Aguilar & Abdon Atangana. (2018) Fractional Derivatives with the Power-Law and the Mittag–Leffler Kernel Applied to the Nonlinear Baggs–Freedman Model. Fractal and Fractional 2:1, pages 10.
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André Barreira da Silva Rocha. (2018) Social outcomes due to the interplay between language competition and ideology struggle. Physica A: Statistical Mechanics and its Applications 492, pages 1340-1351.
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Y. Sofuoglu & N. Ozalp. (2015) Fractional Order Bilingualism Model Without Conversion from Dominant Unilingual Group to Bilingual Group. Differential Equations and Dynamical Systems 25:1, pages 1-9.
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R. Colucci, Jorge Mira, J. J. Nieto & M. V. Otero-Espinar. (2016) Non Trivial Coexistence Conditions for a Model of Language Competition Obtained by Bifurcation Theory. Acta Applicandae Mathematicae 146:1, pages 187-203.
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Rebecca A. Jeffs, John Hayward, Paul A. Roach & John Wyburn. (2016) Activist model of political party growth. Physica A: Statistical Mechanics and its Applications 442, pages 359-372.
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Neus Isern & Joaquim Fort. (2014) Language extinction and linguistic fronts. Journal of The Royal Society Interface 11:94, pages 20140028.
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C. Bernard & S. Martin. (2012) Building strategies to ensure language coexistence in presence of bilingualism. Applied Mathematics and Computation 218:17, pages 8825-8841.
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Anne Kandler, Roman Unger & James Steele. (2010) Language shift, bilingualism and the future of Britain's Celtic languages. Philosophical Transactions of the Royal Society B: Biological Sciences 365:1559, pages 3855-3864.
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