Geodesic
Convergence of the trajectories of a non-Volterra quadratic stochastic operator
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2024), pp. 45-50 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the present paper we consider non-Volterra quadratic stochastic operators defined on the two-dimensional simplex depending on a parameter $\alpha$. We show that such an operator has a unique fixed point and all the trajectories converge to this unique fixed point.
Keywords: quadratic stochastic operator, Volterra and non-Volterra operator, trajectory
Mots-clés : simplex. 
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     title = {Convergence of the trajectories of a {non-Volterra} quadratic stochastic operator},
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B. J. Mamurov. Convergence of the trajectories of a non-Volterra quadratic stochastic operator. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2024), pp. 45-50. http://geodesic.mathdoc.fr/item/IVM_2024_10_a4/

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