Convergence of the trajectories of a non-Volterra quadratic stochastic operator
https://doi.org/10.26907/0021-3446-2024-10-45-50
Abstract
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.
About the Author
B. J. Mamurov
Nuriddinov Bukhara State University
Uzbekistan
Uzbekistan
Bobokhon Jurayevich Mamurov
11 M. Iqbol str., Bukhara, 200118
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Review
For citations:
Mamurov B.J. Convergence of the trajectories of a non-Volterra quadratic stochastic operator. Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika. 2024;(10):45-50. (In Russ.) https://doi.org/10.26907/0021-3446-2024-10-45-50
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