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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
EJAAM
2024-12-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
| Subjects: | |
| Online Access: | https://ejaam.org/articles/2024/10.62780-ejaam-2024-006.pdf |
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| Summary: | 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. |
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| ISSN: | 2544-9990 |