An $(\alpha,\beta)$- Quadratic Stochastic Operator Acting in $S^2$
DOI:
https://doi.org/10.5890/JAND.2022.12.001Abstract
In the present paper we consider a family of non-Volterra quadratic stochastic operators depending on the parameters $\alpha, \beta$ and study their trajectory behaviors. We find all fixed and periodic points for an $(\alpha,\beta)$- quadratic stochastic operator on the two-dimensional simplex. A complete description of the set of limit points is given, and we show that such operators have the ergodic property.References
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