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Matematicheskie Zametki, 2022, Volume 111, Issue 5, Pages 663–675
DOI: https://doi.org/10.4213/mzm13510 (Mi mzm13510) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Dynamical System of a Quadratic Stochastic Operator with Two Discontinuity Points

Sh. B. Abdurakhimovaa, U. A. Rozikovbcd

a Namangam State University
b V. I. Romanovskiy Institute of Mathematcs of the Academy of Sciences of Uzbekistan
c AKFA University
d National University of Uzbekistan named after M. Ulugbek
Full-text PDF (464 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm13510
Abstract: We consider a population consisting of two species whose dynamics is determined by a quadratic stochastic operator with variable coefficients, which makes it a discontinuous operator at two points. This operator depends on three parameters. The set of these parameters is divided into seven subsets. For each subset of parameters, we find fixed points, periodic points, and the set of limit points of trajectories generated by the respective quadratic stochastic operators.
Keywords: dynamical systems, fixed point, periodic point, limit point.
Received: 10.07.2021
Revised: 26.12.2021
English version:
Mathematical Notes, 2022, Volume 111, Issue 5, Pages 676–687
DOI: https://doi.org/10.1134/S0001434622050029
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: Sh. B. Abdurakhimova, U. A. Rozikov, “Dynamical System of a Quadratic Stochastic Operator with Two Discontinuity Points”, Mat. Zametki, 111:5 (2022), 663–675; Math. Notes, 111:5 (2022), 676–687
Citation in format AMSBIB
\Bibitem{AbdRoz22}
\by Sh.~B.~Abdurakhimova, U.~A.~Rozikov
\paper Dynamical System of a Quadratic Stochastic Operator with Two Discontinuity Points
\jour Mat. Zametki
\yr 2022
\vol 111
\issue 5
\pages 663--675
\mathnet{http://mi.mathnet.ru/mzm13510}
\crossref{https://doi.org/10.4213/mzm13510}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4461297}
\transl
\jour Math. Notes
\yr 2022
\vol 111
\issue 5
\pages 676--687
\crossref{https://doi.org/10.1134/S0001434622050029}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85132875203}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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