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arXiv · 2210.05107

A family of non-Volterra quadratic operators corresponding to permutations

U. U. Jamilov
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Abstract

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.

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U. U. Jamilov. 2022-10-11. A family of non-Volterra quadratic operators corresponding to permutations. https://doi.org/10.46298/cm.10135

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