On a Nonlinear Mathematical Model for the Description of the Competition and Coexistence of Different-Language Speakers
We study the well-known three-component nonlinear system of equations of reaction-diffusion-type simulating the processes of competition and coexistence of different-language speakers. A simplified modification of this system is proposed. For this system, we describe the Lie symmetries, construct ex...
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| Veröffentlicht in: | Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-08, Vol.256 (5), p.628-639 |
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| container_title | Journal of mathematical sciences (New York, N.Y.) |
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| creator | Davydovych, V. V. Cherniha, R. M. |
| description | We study the well-known three-component nonlinear system of equations of reaction-diffusion-type simulating the processes of competition and coexistence of different-language speakers. A simplified modification of this system is proposed. For this system, we describe the Lie symmetries, construct exact solutions in the form of traveling fronts, and establish their properties. We present the plots of traveling fronts and propose the corresponding interpretation for the description of the language shift in Ukraine during the Soviet times. |
| doi_str_mv | 10.1007/s10958-021-05449-5 |
| format | Article |
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| subjects | Competition Exact solutions Mathematics Mathematics and Statistics Nonlinear systems |
| title | On a Nonlinear Mathematical Model for the Description of the Competition and Coexistence of Different-Language Speakers |
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