Cards of fixed points of some Lotka-Volterra operators
The paper considers a special type of the Lotka-Volterra operator operating in a four-dimensional simplex. The tournament corresponding to this operator has four cyclic triples. All kinds of fixed point cards are built for it. It is proved which types of cards exist for Lotka-Volterra operators in t...
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| Format: | Article |
| Language: | English |
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EJAAM
2024-12-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
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| Online Access: | https://ejaam.org/articles/2024/10.62780-ejaam-2024-006.pdf |
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| _version_ | 1823864854164799488 |
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| author | Dilfuza B. Eshmamatova Mokhbonu A. Tadzhieva |
| author_facet | Dilfuza B. Eshmamatova Mokhbonu A. Tadzhieva |
| author_sort | Dilfuza B. Eshmamatova |
| collection | DOAJ |
| description | The paper considers a special type of the Lotka-Volterra operator operating in a four-dimensional simplex. The tournament corresponding to this operator has four cyclic triples. All kinds of fixed point cards are built for it. It is proved which types of cards exist for Lotka-Volterra operators in the general position, and which cannot be. The paper also proposes a new approach to constructing an oriented card of fixed points. |
| format | Article |
| id | doaj-art-513a00137242414ba858bb636aef8c42 |
| institution | Kabale University |
| issn | 2544-9990 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | EJAAM |
| record_format | Article |
| series | E-Journal of Analysis and Applied Mathematics |
| spelling | doaj-art-513a00137242414ba858bb636aef8c422025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902024-12-01202410.62780/ejaam/2024-006Cards of fixed points of some Lotka-Volterra operatorsDilfuza B. Eshmamatova0Mokhbonu A. Tadzhieva1Tashkent State Transport University, Tashkent, 100167, Uzbekistan & V. I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent 100174, Uzbekistan.Tashkent State Transport University, Tashkent, 100167, Uzbekistan.The paper considers a special type of the Lotka-Volterra operator operating in a four-dimensional simplex. The tournament corresponding to this operator has four cyclic triples. All kinds of fixed point cards are built for it. It is proved which types of cards exist for Lotka-Volterra operators in the general position, and which cannot be. The paper also proposes a new approach to constructing an oriented card of fixed points.https://ejaam.org/articles/2024/10.62780-ejaam-2024-006.pdflotka-volterra operatorcard of fixed pointsskew-symmetric matrixgraphhamilton cycletournament |
| spellingShingle | Dilfuza B. Eshmamatova Mokhbonu A. Tadzhieva Cards of fixed points of some Lotka-Volterra operators E-Journal of Analysis and Applied Mathematics lotka-volterra operator card of fixed points skew-symmetric matrix graph hamilton cycle tournament |
| title | Cards of fixed points of some Lotka-Volterra operators |
| title_full | Cards of fixed points of some Lotka-Volterra operators |
| title_fullStr | Cards of fixed points of some Lotka-Volterra operators |
| title_full_unstemmed | Cards of fixed points of some Lotka-Volterra operators |
| title_short | Cards of fixed points of some Lotka-Volterra operators |
| title_sort | cards of fixed points of some lotka volterra operators |
| topic | lotka-volterra operator card of fixed points skew-symmetric matrix graph hamilton cycle tournament |
| url | https://ejaam.org/articles/2024/10.62780-ejaam-2024-006.pdf |
| work_keys_str_mv | AT dilfuzabeshmamatova cardsoffixedpointsofsomelotkavolterraoperators AT mokhbonuatadzhieva cardsoffixedpointsofsomelotkavolterraoperators |