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Modelirovanie i Analiz Informatsionnykh Sistem, 2013, Volume 20, Number 1, Pages 52–98 (Mi mais286)  

This article is cited in 6 scientific papers (total in 6 papers)

Relaxation Oscillations in a System with Delays Modeling the Predator–Prey Problem

S. A. Kashchenko

P. G. Demidov Yaroslavl State University, Yaroslavl, Russia
Full-text PDF (581 kB) Citations (6)
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Abstract: A new asymptotic method for investigating complex relaxation oscillations of a system with delay was offered. Applying it, we can reduce the problem of predator-prey system dynamics to problem of one-dimensional maps analysis. Some conclusions of biological nature based on the asymptotic analysis were made.
Keywords: delay differential equation, large parameter, asymptotic, periodic solution.
Received: 20.10.2012
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. A. Kashchenko, “Relaxation Oscillations in a System with Delays Modeling the Predator–Prey Problem”, Model. Anal. Inform. Sist., 20:1 (2013), 52–98
Citation in format AMSBIB
\Bibitem{Kas13}
\by S.~A.~Kashchenko
\paper Relaxation Oscillations in a System with Delays Modeling the Predator--Prey Problem
\jour Model. Anal. Inform. Sist.
\yr 2013
\vol 20
\issue 1
\pages 52--98
\mathnet{http://mi.mathnet.ru/mais286}
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  • https://www.mathnet.ru/eng/mais286
  • https://www.mathnet.ru/eng/mais/v20/i1/p52
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Моделирование и анализ информационных систем
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    References:59
     
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