Can the speakers of a dominated language survive as unilinguals? A mathematical model of bilingualism

DOI10.1016/0895-7177(93)90122-FzbMath0792.92033OpenAlexW2009995977MaRDI QIDQ1324267

Herb I. Freedman, Ivan Baggs

Publication date: 26 July 1994

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(93)90122-f

zbMATH Keywords

stabilitypersistenceextinctionequilibriaomega limit setmixed populationhyperbolic equilibriumButler-McGehee lemmabilingualdominant language speakersunilingual

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Applications of dynamical systems (37N99) Linguistics (91F20) Mathematical sociology (including anthropology) (91D99)

Related Items (10)

Media pressures on Welsh language preservation ⋮ Partial learning using partially explicit discretization for multicontinuum/multiscale problems with limited observation: language interactions simulation ⋮ Dynamical models for the development of unilingual society into bilingual society ⋮ The Future of Bilingualism: An Application of the Baggs and Freedman Model ⋮ Fractional order bilingualism model without conversion from dominant unilingual group to bilingual group ⋮ Non trivial coexistence conditions for a model of language competition obtained by bifurcation theory ⋮ A Model of Language-Group Interaction and Evolution Including Language Acquisition Planning ⋮ A mathematical model of bilingualism ⋮ Mathematical models of population distribution within a culture group. ⋮ Numerical simulation of language interactions using online coupled generalized multiscale finite element method

Cites Work

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• Persistence in models of three interacting predator-prey populations
• Persistence in a model of three competitive populations
• Predator influence on the growth of a population with three genotypes
• Persistence Definitions and their Connections
• Uniformly Persistent Systems
• A mathematical model for the dynamics of interactions between a unilingual and a bilingual population: Persistence versus extinction

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