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Matematicheskie Zametki, 2024, Volume 116, Issue 5, Pages 792–808
DOI: https://doi.org/10.4213/mzm13950 (Mi mzm13950) 		 
On the qualitative analysis of a class of Volterra quadratic stochastic operators with continuous time

X. R. Rasulovab

a Bukhara State University
b V. I. Romanovskii Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan
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DOI: https://doi.org/10.4213/mzm13950
Abstract: In this paper, a continuous analog of one class of Volterra quadratic stochastic operators with continuous time is studied. A qualitative analysis of the operators is carried out, and numerical and analytical solutions are found. Analytical solutions are compared with the numerical one, and it is proved that the trajectory of the operator tends to the equilibrium. Fourteen extreme operators are also studied and the results are presented in the form of a table.
Keywords: two-sex population, inheritance coefficient, equilibrium, stability of solution.
Received: 14.03.2023
Revised: 21.10.2023
English version:
Mathematical Notes, 2024, Volume 116, Issue 5, Pages 1080–1093
DOI: https://doi.org/10.1134/S0001434624110208
Document Type: Article
UDC: 517.2
MSC: 34C05, 34C40, 34C60, 37C25
Language: Russian
Citation: X. R. Rasulov, “On the qualitative analysis of a class of Volterra quadratic stochastic operators with continuous time”, Mat. Zametki, 116:5 (2024), 792–808; Math. Notes, 116:5 (2024), 1080–1093
Citation in format AMSBIB
\Bibitem{Ras24}
\by X.~R.~Rasulov
\paper On the qualitative analysis of a~class of Volterra quadratic stochastic operators with continuous time
\jour Mat. Zametki
\yr 2024
\vol 116
\issue 5
\pages 792--808
\mathnet{http://mi.mathnet.ru/mzm13950}
\crossref{https://doi.org/10.4213/mzm13950}
\transl
\jour Math. Notes
\yr 2024
\vol 116
\issue 5
\pages 1080--1093
\crossref{https://doi.org/10.1134/S0001434624110208}
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