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Matematicheskie Zametki, 2008, Volume 83, Issue 4, Pages 606–612
DOI: https://doi.org/10.4213/mzm3778 (Mi mzm3778) 		 
This article is cited in 55 scientific papers (total in 55 papers)

$F$-Quadratic Stochastic Operators

U. A. Rozikova, U. U. Zhamilovb

a Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
b Lycee no. 43
Full-text PDF (487 kB) Citations (55)
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DOI: https://doi.org/10.4213/mzm3778
Abstract: In this paper, we introduce the notion of an $F$‑quadratic stochastic operator. It is shown that each $F$-quadratic operator has a unique fixed point. Besides, it is proved that any trajectory of an $F$-quadratic stochastic operator exponentially rapidly converges to this fixed point.
Keywords: quadratic stochastic operator, non-Volterra stochastic operator, ergodic theorem, mathematical genetics, fixed point of an operator.
Received: 28.02.2007
Revised: 10.04.2007
English version:
Mathematical Notes, 2008, Volume 83, Issue 4, Pages 554–559
DOI: https://doi.org/10.1134/S0001434608030280
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: U. A. Rozikov, U. U. Zhamilov, “$F$-Quadratic Stochastic Operators”, Mat. Zametki, 83:4 (2008), 606–612; Math. Notes, 83:4 (2008), 554–559
Citation in format AMSBIB
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    • This publication is cited in the following 55 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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