RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Model. Anal. Inform. Sist.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Model. Anal. Inform. Sist., 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

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.

Full text: PDF file (581 kB)
References: PDF file   HTML file

Document Type: Article
UDC: 517.9
Received: 20.10.2012

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}


Linking options:
  • http://mi.mathnet.ru/eng/mais286
  • http://mi.mathnet.ru/eng/mais/v20/i1/p52

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. S. A. Kaschenko, “Relaksatsionnye kolebaniya v modelyakh mnogovidovykh soobschestv”, Model. i analiz inform. sistem, 20:5 (2013), 5–24  mathnet
    2. S. A. Kaschenko, “Dinamika logisticheskogo uravneniya s zapazdyvaniem i zapazdyvayuschim upravleniem”, Model. i analiz inform. sistem, 21:5 (2014), 61–77  mathnet
    3. Kashchenko S.A., “Dynamics of the Logistic Equation With Delay and Delay Control”, Int. J. Bifurcation Chaos, 24:8 (2014), 1440017  crossref  mathscinet  zmath  isi  scopus
    4. N. D. Bykova, S. A. Kaschenko, “Korporativnaya dinamika sistem logisticheskikh uravnenii s zapazdyvaniem i s bolshim zapazdyvayuschim upravleniem”, Model. i analiz inform. sistem, 22:3 (2015), 372–391  mathnet  crossref  mathscinet  elib
    5. A. A. Kaschenko, “Dinamika sistemy iz dvukh prosteishikh avtogeneratorov s nelineinymi finitnymi obratnymi svyazyami”, Model. i analiz inform. sistem, 23:6 (2016), 841–849  mathnet  crossref  mathscinet  elib
    6. A. A. Kaschenko, “Semeistvo negrubykh tsiklov v sisteme dvukh svyazannykh generatorov s zapazdyvaniem”, Model. i analiz inform. sistem, 24:5 (2017), 649–654  mathnet  crossref  elib
  • Моделирование и анализ информационных систем
    Number of views:
    This page:218
    Full text:77
    References:24

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2018