A family of non-Volterra quadratic operators corresponding to permutations
Autor: | Jamilov, U. U. |
---|---|
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 |
Externí odkaz: |