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

Sofuoglu Y., ÖZALP N.

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, vol.25, no.1, pp.1-9, 2017 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 1
  • Publication Date: 2017
  • Doi Number: 10.1007/s12591-015-0239-9
  • Journal Name: DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.1-9
  • Keywords: Fractional differential equations, Bilingualism, Stability, MATHEMATICAL-MODEL, DIFFERENTIAL-EQUATIONS, SYSTEMS
  • Ankara University Affiliated: Yes

Abstract

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.