New Conditional Symmetries and Exact Solutions of the Diffusive Two-Component Lotka–Volterra System
The diffusive Lotka–Volterra system arising in an enormous number of mathematical models in biology, physics, ecology, chemistry and society is under study. New <i>Q</i>-conditional (nonclassical) symmetries are derived and applied to search for exact solutions in an explicit form. A fam...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/16/1984 |
| _version_ | 1797522965791768576 |
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| author | Roman Cherniha Vasyl’ Davydovych |
| author_facet | Roman Cherniha Vasyl’ Davydovych |
| author_sort | Roman Cherniha |
| collection | DOAJ |
| description | The diffusive Lotka–Volterra system arising in an enormous number of mathematical models in biology, physics, ecology, chemistry and society is under study. New <i>Q</i>-conditional (nonclassical) symmetries are derived and applied to search for exact solutions in an explicit form. A family of exact solutions is examined in detail in order to provide an application for describing the competition of two species in population dynamics. The results obtained are compared with those published earlier as well. |
| first_indexed | 2024-03-10T08:36:46Z |
| format | Article |
| id | doaj.art-190210b324ff418b97406afffcb255b6 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T08:36:46Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-190210b324ff418b97406afffcb255b62023-11-22T08:34:48ZengMDPI AGMathematics2227-73902021-08-01916198410.3390/math9161984New Conditional Symmetries and Exact Solutions of the Diffusive Two-Component Lotka–Volterra SystemRoman Cherniha0Vasyl’ Davydovych1Institute of Mathematics, National Academy of Sciences of Ukraine, 3, Tereshchenkivs’ka Street, 01601 Kyiv, UkraineInstitute of Mathematics, National Academy of Sciences of Ukraine, 3, Tereshchenkivs’ka Street, 01601 Kyiv, UkraineThe diffusive Lotka–Volterra system arising in an enormous number of mathematical models in biology, physics, ecology, chemistry and society is under study. New <i>Q</i>-conditional (nonclassical) symmetries are derived and applied to search for exact solutions in an explicit form. A family of exact solutions is examined in detail in order to provide an application for describing the competition of two species in population dynamics. The results obtained are compared with those published earlier as well.https://www.mdpi.com/2227-7390/9/16/1984diffusive Lotka–Volterra systemnonclassical symmetry<i>Q</i>-conditional symmetry of the first typeexact solution |
| spellingShingle | Roman Cherniha Vasyl’ Davydovych New Conditional Symmetries and Exact Solutions of the Diffusive Two-Component Lotka–Volterra System Mathematics diffusive Lotka–Volterra system nonclassical symmetry <i>Q</i>-conditional symmetry of the first type exact solution |
| title | New Conditional Symmetries and Exact Solutions of the Diffusive Two-Component Lotka–Volterra System |
| title_full | New Conditional Symmetries and Exact Solutions of the Diffusive Two-Component Lotka–Volterra System |
| title_fullStr | New Conditional Symmetries and Exact Solutions of the Diffusive Two-Component Lotka–Volterra System |
| title_full_unstemmed | New Conditional Symmetries and Exact Solutions of the Diffusive Two-Component Lotka–Volterra System |
| title_short | New Conditional Symmetries and Exact Solutions of the Diffusive Two-Component Lotka–Volterra System |
| title_sort | new conditional symmetries and exact solutions of the diffusive two component lotka volterra system |
| topic | diffusive Lotka–Volterra system nonclassical symmetry <i>Q</i>-conditional symmetry of the first type exact solution |
| url | https://www.mdpi.com/2227-7390/9/16/1984 |
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