A family of non-Volterra quadratic operators corresponding to permutations
| Autor: | Jamilov, U. U. |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Communications in Mathematics, Volume 31 (2023), Issue 1 (October 18, 2022) cm:10135 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.46298/cm.10135 |
| Popis: | In the present paper we consider a family of non-Volterra quadratic stochastic operators depending on a parameter $\alpha$ and study their trajectory behaviors. We find all fixed points for a non-Volterra quadratic stochastic operator on a finite-dimensional simplex. We construct some Lyapunov functions. A complete description of the set of limit points is given, and we show that such operators have the ergodic property. Comment: 9 pages |
| Databáze: | arXiv |
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