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Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 123, Pages 456–465
DOI: https://doi.org/10.20310/1810-0198-2018-23-123-456-465 (Mi vtamu46) 		 
Scientific articles

On the stability of a population dynamics model with delay

V. V. Malygina

Perm National Research Polytechnic University
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DOI: https://doi.org/10.20310/1810-0198-2018-23-123-456-465
Abstract: We consider a model of the dynamics of an isolated population whose individuals pass through the three stages of evolution. We use a nonlinear autonomous differential equation with concentrated and distributed delay for description of the model. Effective sufficient conditions for the asymptotic stability of the nontrivial equilibrium point are obtained.
Keywords: population dynamics, delay differential equation, stability.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.5336.2017/8.9
Russian Foundation for Basic Research 18-01-00928
The work is performed within the basic part of the state assignment of the Ministry of Education and Science of the Russian Federation (project 1.5336.2017/8.9), and is partially supported by the Russian Fund for Basic Research (project № 18-01-00928).
Received: 19.04.2018
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: V. V. Malygina, “On the stability of a population dynamics model with delay”, Tambov University Reports. Series: Natural and Technical Sciences, 23:123 (2018), 456–465
Citation in format AMSBIB
\Bibitem{Mal18}
\by V.~V.~Malygina
\paper On the stability of a population dynamics model with delay
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 123
\pages 456--465
\mathnet{http://mi.mathnet.ru/vtamu46}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-123-456-465}
\elib{https://elibrary.ru/item.asp?id=36452694}
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