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Avtomatika i Telemekhanika, 2005, Issue 12, Pages 105–113 (Mi at1479)  
This article is cited in 3 scientific papers (total in 3 papers)

Deterministic Systems

Global stability of a discrete population dynamics model with two delays

R. M. Nigmatulin

Chelyabinsk State Pedagogical University
Full-text PDF (220 kB) Citations (3)
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Abstract: A population dynamics model $x_n=\dfrac{\alpha x_{n-m}}{1+x_{n-m}+\beta x_{n-k}}$ with two delays $k$ and $m$ and coefficients $\alpha>1$ and $\beta\geqslant 0$ is studied. A sufficient condition, which is also necessary for certain delays, for the global asymptotic stability of the stationary solution $x_n\equiv \dfrac{\alpha-1}{\beta+1}$ is formulated.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 19.01.2004
English version:
Automation and Remote Control, 2005, Volume 66, Issue 12, Pages 1964–1971
DOI: https://doi.org/10.1007/s10513-005-0228-5
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. M. Nigmatulin, “Global stability of a discrete population dynamics model with two delays”, Avtomat. i Telemekh., 2005, no. 12, 105–113; Autom. Remote Control, 66:12 (2005), 1964–1971
Citation in format AMSBIB
\Bibitem{Nig05}
\by R.~M.~Nigmatulin
\paper Global stability of a~discrete population dynamics model with two delays
\jour Avtomat. i Telemekh.
\yr 2005
\issue 12
\pages 105--113
\mathnet{http://mi.mathnet.ru/at1479}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2196466}
\zmath{https://zbmath.org/?q=an:1267.92053}
\transl
\jour Autom. Remote Control
\yr 2005
\vol 66
\issue 12
\pages 1964--1971
\crossref{https://doi.org/10.1007/s10513-005-0228-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-29144458051}
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  • https://www.mathnet.ru/eng/at/y2005/i12/p105
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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