Exact solutions of a mathematical model describing competition and co-existence of different language speakers

Roman Cherniha; Vasyl' Davydovych

doi:10.3390/e22020154

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arXiv · 2101.00971

Exact solutions of a mathematical model describing competition and co-existence of different language speakers

Roman Cherniha·Vasyl' Davydovych

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Abstract

The known three-component reaction-diffusion system modeling competition and co-existence of different language speakers is under study. A modification of this system is proposed, which is examined by Lie symmetry method; furthermore exact solutions in the form of traveling fronts are constructed and their properties are identified. Plots of the traveling fronts are presented and the relevant interpretation describing the language shift occurred in Ukraine during the Soviet times is suggested.

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Roman Cherniha, Vasyl' Davydovych. 2020-12-30. Exact solutions of a mathematical model describing competition and co-existence of different language speakers. https://doi.org/10.3390/e22020154

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