Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2016, Volume 12, Number 4, Pages 591–603
DOI: https://doi.org/10.20537/nd1604004 (Mi nd540) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Original papers

Model of age-structured population dynamics: stability, multistability, and chaos

O. L. Revutskayaa, G. P. Neverovaba, M. P. Kulakova, E. Ya. Frismana

a Institute for Complex Analysis of Regional Problems, Far Eastern Branch of RAS, ul. Sholom-Aleikhem 4, Birobidzhan, 679016, Russia
b Institute for Automation and Control Processes, Far Eastern Branch of RAS, ul. Radio 5, Vladivostok, 690041, Russia
Full-text PDF (1589 kB) Citations (3)
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DOI: https://doi.org/10.20537/nd1604004
Abstract: This paper is concerned with the model of dynamics for population with a simple age structure. It is assumed that the growth of population size is regulated by limiting the survival rate of younger individuals. It is shown that the density-dependent regulation of offspring survival can lead to fluctuations in population size. Moreover, there are multistability areas in which the type of dynamic regimes depends on the initial conditions. These aspects of dynamic behavior can explain the changes in the oscillation period, and the appearance and disappearance of population size fluctuations.
Keywords: mathematical modeling, population dynamics, age structure, density-dependent regulation, stability, bifurcations, dynamic modes, multistability, chaos.
Funding agency Grant number
Russian Foundation for Basic Research 16-31-00218 мол_а
Received: 22.08.2016
Accepted: 14.10.2016
Bibliographic databases:
Document Type: Article
UDC: 51-76:574.3
MSC: 37G35
Language: Russian
Citation: O. L. Revutskaya, G. P. Neverova, M. P. Kulakov, E. Ya. Frisman, “Model of age-structured population dynamics: stability, multistability, and chaos”, Nelin. Dinam., 12:4 (2016), 591–603
Citation in format AMSBIB
\Bibitem{RevNevKul16}
\by O.~L.~Revutskaya, G.~P.~Neverova, M.~P.~Kulakov, E.~Ya.~Frisman
\paper Model of age-structured population dynamics: stability, multistability, and chaos
\jour Nelin. Dinam.
\yr 2016
\vol 12
\issue 4
\pages 591--603
\mathnet{http://mi.mathnet.ru/nd540}
\crossref{https://doi.org/10.20537/nd1604004}
\elib{https://elibrary.ru/item.asp?id=27715765}
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  • https://www.mathnet.ru/eng/nd/v12/i4/p591
    • 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
    		Нелинейная динамика
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