Matematicheskoe modelirovanie
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Matem. Mod.:
Year:
Volume:
Issue:
Page:
Find






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


Matematicheskoe modelirovanie, 2010, Volume 22, Number 9, Pages 107–115 (Mi mm3021)  

On nonlinear singularly perturbed problems in biology

Yu. A. Konyaev, V. I. Bezyaev, O. N. Filippova

Russian Friendship University, Moscow
References:
Abstract: Two nonlinear singularly perturbed model problems on heartbeat and nerve impulse are discussed with sufficient theoretical material.
Data analysis of non-autonomous models is made, and is built models' phase portrait. We also give oscillation graphs of heartbeat mathematical model (cardiogram analog) and graphs of nerve impulse transmission with considering condition of Hopf bifurcation appearance. The frontier layer presence is marked at each graph in a $t=0$ neighborhood.
Keywords: models of the heartbeat and nerve impulse, singularly perturbed problems, stability.
Received: 07.04.2009
Bibliographic databases:
Document Type: Article
UDC: 917.525
Language: Russian
Citation: Yu. A. Konyaev, V. I. Bezyaev, O. N. Filippova, “On nonlinear singularly perturbed problems in biology”, Matem. Mod., 22:9 (2010), 107–115
Citation in format AMSBIB
\Bibitem{KonBezFil10}
\by Yu.~A.~Konyaev, V.~I.~Bezyaev, O.~N.~Filippova
\paper On nonlinear singularly perturbed problems in biology
\jour Matem. Mod.
\yr 2010
\vol 22
\issue 9
\pages 107--115
\mathnet{http://mi.mathnet.ru/mm3021}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2767925}
Linking options:
  • https://www.mathnet.ru/eng/mm3021
  • https://www.mathnet.ru/eng/mm/v22/i9/p107
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024