Convergence of Trajectories of a Non-Volterra Quadratic Stochastic Operator

In the present paper we consider non-Volterra quadratic stochastic operators defined on the two-dimensional simplex depending on a parameter $$\alpha $$ . We showed that such an operator has a unique fixed point and all trajectories converge to the unique fixed point.

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Publication Details

Journal
Russian Mathematics
Published
2024-10-01
DOI
https://doi.org/10.3103/s1066369x24700786
Primary Topic
Matrix Theory and Algorithms
Type
article
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article

Convergence of Trajectories of a Non-Volterra Quadratic Stochastic Operator

B. J. Mamurov
Russian Mathematics
Matrix Theory and Algorithms
article

Convergence of Trajectories of a Non-Volterra Quadratic Stochastic Operator

B. J. Mamurov
article en

Abstract

In the present paper we consider non-Volterra quadratic stochastic operators defined on the two-dimensional simplex depending on a parameter $$\alpha $$ . We showed that such an operator has a unique fixed point and all trajectories converge to the unique fixed point.

Russian MathematicsVol. 68(10)
Bukhara State University (UZ)
Openalex Percentile: Top 69%
Matrix Theory and Algorithms
DOISourceOpenAlex
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Convergence of Trajectories of a Non-Volterra Quadratic Stochastic Operator — B. J. Mamurov · Russian Mathematics (2024) | TGRS Research Map | TGRS