A mathematical model for the dynamics of interactions between a unilingual and a bilingual population

Persistence versus extinction

Bibliographic Data

ID10142440
AuthorsIvan Baggs (University of Alberta, corresponding author), H I Freedman (University of Alberta)
Year1990
Volume16
Issue1
Pages51-75
Publication date1990-12-01
Peer ReviewedYes
Open AccessNo
TypeARTICLE
VenueJournal of Mathematical Sociology (JOURNAL)
Journal identifiersISSN: 0022-250X • E-ISSN: 1545-5874
PublisherTaylor & Francis (PUBLISHER • GB)
DOI10.1080/0022250x.1990.9990078
OpenAlexW2095307534
LanguageEN
Citations received9
References cited14

Models for the growth of a population with one unilingual and one bilingual component are developed. Each model consists of a system of two autonomous ordinary differential equations. Conditions under which the populations of both components will approach a unique and stable steady state are investigated. In addition, conditions under which the bilingual population will become extinct and conditions under which it will persist are derived

Component (thermodynamics · Differential equation · Dynamics (music · Extinction (optical mineralogy · Mathematical analysis · Optics · Ordinary differential equation · Persistence (discontinuity · Physics · Population · Population model · Sociology · Statistical physics · Applied Mathematics · Demography · Geology · Mathematical and Theoretical Epidemiology and Ecology Models · Mathematical Dynamics and Fractals · Mathematics · Nonlinear Dynamics and Pattern Formation

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