Fractional Order Bilingualism Model Without Conversion from Dominant Unilingual Group to Bilingual Group

A fractional order model of a population with one bilingual and two unilingual components, in which conversion from dominant unilingual to bilingual doesn’t exist is studied. Equilibrium points are found, criteria for the existence and the stability of the positive equilibrium are then investigated....

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Bibliographic Details
Published in:Differential equations and dynamical systems 2017, Vol.25 (1), p.1-9
Main Authors: Sofuoglu, Y., Ozalp, N.
Format: Article
Language:English
Subjects:
Bilingualism
Computer Science
Conversion
Engineering
Mathematical models
Mathematics
Mathematics and Statistics
Original Research
Stability criteria
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Summary:A fractional order model of a population with one bilingual and two unilingual components, in which conversion from dominant unilingual to bilingual doesn’t exist is studied. Equilibrium points are found, criteria for the existence and the stability of the positive equilibrium are then investigated. Also, numerical solutions for an example of the fractional order system are obtained by transforming the fractional system to the corresponding integer order one.
ISSN:0971-3514
0974-6870
DOI:10.1007/s12591-015-0239-9