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- W2183601938 abstract "Interaction between various language groups has increased in the last two centuries. A mathematical model that describes the interactions between a unilingual and a bilingual population in a closed environment was developed by Baggs and Freeman (BF) in 1990. The model consists of two autonomous ordinary differential equations. Conditions under which the bilingual population become extinct and conditions under which it persists were given. In this research, we modify the BF model to accommodate the same interactions between two adjacent communities. The two environments contain the same unilingual and bilingual populations. The two populations are enjoying a free movement between each other. The model consists of a system of four nonlinear ordinary differential equations. The modified model and its parameters will be introduced. Basic properties of the model will be presented. In addition, the persistence theory of dynamical systems has been used to give conditions regarding extinction and persistence of the bilingual population. [Introduce the model, present its properties, and state conditions regarding extinction and persistence.]" @default.
- W2183601938 created "2016-06-24" @default.
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- W2183601938 date "1996-01-01" @default.
- W2183601938 modified "2023-09-27" @default.
- W2183601938 title "ANALYSIS OF A MATHEMATICAL MODEL FOR THE DYNAMICS OF INTERACTION BETWEEN A UNILINGUAL AND A BILINGUAL POPULATION IN TWO ADJACENT REGIONS" @default.
- W2183601938 hasPublicationYear "1996" @default.
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