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Mathematical notes of NEFU, 2016, Volume 23, Issue 2, Pages 108–120 (Mi svfu27)  
This article is cited in 4 scientific papers (total in 4 papers)

Mathematics

Stability of solutions in the predator-prey model with delay

M. A. Skvortsovaab

a Sobolev Institute of Mathematics, Akademika Koptyuga ave., 4, Novosibirsk, Russia
b Novosibirsk State University, Pirogova st., 2, Novosibirsk 630090, Russia
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Abstract: We consider a system of delay differential equations describing the interaction between two populations the predators and prey. We study the asymptotic stability of stationary solutions to this system. Using the modified Lyapunov-Krasovskii functional we establish estimates for solutions characterizing the rate of convergence to the stationary solutions.
Keywords: predator-prey model, delay differential equations, asymptotic stability, characteristic quasipolynomial, estimates for solutions, modified Lyapunov-Krasovskii functional.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-00745
Received: 15.05.2016
Bibliographic databases:
Document Type: Article
UDC: 517.929.4
Language: Russian
Citation: M. A. Skvortsova, “Stability of solutions in the predator-prey model with delay”, Mathematical notes of NEFU, 23:2 (2016), 108–120
Citation in format AMSBIB
\Bibitem{Skv16}
\by M.~A.~Skvortsova
\paper Stability of solutions in the predator-prey model with delay
\jour Mathematical notes of NEFU
\yr 2016
\vol 23
\issue 2
\pages 108--120
\mathnet{http://mi.mathnet.ru/svfu27}
\elib{https://elibrary.ru/item.asp?id=27507487}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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