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Mathematics of the USSR-Sbornik, 1983, Volume 45, Issue 1, Pages 91–100
DOI: https://doi.org/10.1070/SM1983v045n01ABEH002588 (Mi sm2183) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Properties of solutions of a class of equations with lag which describe the dynamics of change in the population of a species with the age structure taken into account

Yu. S. Kolesov
English version PDF (527 kB) Citations (12)
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DOI: https://doi.org/10.1070/SM1983v045n01ABEH002588
Abstract: The equation
$$ \dot N=r\biggl[1-\dfrac{1}{K}\int_{h_1}^{h_2}H(s)N(t-s)\,ds\biggr]N, $$
generalizing the well-known Hutchinson equation, is used to describe the dynamics of change in the population of a species, with the age structure taken into account. Conditions are found for bifurcation of a periodic solution of this equation. The results obtained here are applied to explain some natural phenomena.
Bibliography: 12 titles.
Received: 14.05.1980
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1982, Volume 117(159), Number 1, Pages 86–94
Bibliographic databases:
UDC: 517.994
MSC: Primary 34K15, 92A15; Secondary 34K25
Language: English
Original paper language: Russian
Citation: Yu. S. Kolesov, “Properties of solutions of a class of equations with lag which describe the dynamics of change in the population of a species with the age structure taken into account”, Mat. Sb. (N.S.), 117(159):1 (1982), 86–94; Math. USSR-Sb., 45:1 (1983), 91–100
Citation in format AMSBIB
\Bibitem{Kol82}
\by Yu.~S.~Kolesov
\paper Properties of solutions of a~class of equations with lag which describe the dynamics of change in the population of a~species with the age structure taken into account
\jour Mat. Sb. (N.S.)
\yr 1982
\vol 117(159)
\issue 1
\pages 86--94
\mathnet{http://mi.mathnet.ru/sm2183}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=642491}
\zmath{https://zbmath.org/?q=an:0513.92017|0485.92014}
\transl
\jour Math. USSR-Sb.
\yr 1983
\vol 45
\issue 1
\pages 91--100
\crossref{https://doi.org/10.1070/SM1983v045n01ABEH002588}
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  • https://www.mathnet.ru/eng/sm/v159/i1/p86
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:334
    Russian version PDF:90
    English version PDF:2
    References:44
     
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