Exact Solutions of a Mathematical Model Describing Competition and Co-Existence of Different Language Speakers

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 the Lie symmetry method; furthermore, exact solutions in the form of traveling fronts are construct...

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Detalles Bibliográficos
Autores principales: Cherniha, Roman, Davydovych, Vasyl’
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7516567/
https://www.ncbi.nlm.nih.gov/pubmed/33285929
http://dx.doi.org/10.3390/e22020154
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author Cherniha, Roman
Davydovych, Vasyl’
author_facet Cherniha, Roman
Davydovych, Vasyl’
author_sort Cherniha, Roman
collection PubMed
description 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 the 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 that has occurred in Ukraine during the Soviet times is suggested.
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spelling pubmed-75165672020-11-09 Exact Solutions of a Mathematical Model Describing Competition and Co-Existence of Different Language Speakers Cherniha, Roman Davydovych, Vasyl’ Entropy (Basel) Article 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 the 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 that has occurred in Ukraine during the Soviet times is suggested. MDPI 2020-01-28 /pmc/articles/PMC7516567/ /pubmed/33285929 http://dx.doi.org/10.3390/e22020154 Text en © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Cherniha, Roman
Davydovych, Vasyl’
Exact Solutions of a Mathematical Model Describing Competition and Co-Existence of Different Language Speakers
title Exact Solutions of a Mathematical Model Describing Competition and Co-Existence of Different Language Speakers
title_full Exact Solutions of a Mathematical Model Describing Competition and Co-Existence of Different Language Speakers
title_fullStr Exact Solutions of a Mathematical Model Describing Competition and Co-Existence of Different Language Speakers
title_full_unstemmed Exact Solutions of a Mathematical Model Describing Competition and Co-Existence of Different Language Speakers
title_short Exact Solutions of a Mathematical Model Describing Competition and Co-Existence of Different Language Speakers
title_sort exact solutions of a mathematical model describing competition and co-existence of different language speakers
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7516567/
https://www.ncbi.nlm.nih.gov/pubmed/33285929
http://dx.doi.org/10.3390/e22020154
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AT davydovychvasyl exactsolutionsofamathematicalmodeldescribingcompetitionandcoexistenceofdifferentlanguagespeakers

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