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



Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find






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


Sib. Èlektron. Mat. Izv., 2010, Volume 7, Pages 87–99 (Mi semr230)  

Research papers

Dynamics of a predator-prey model

E. P. Volokitin, S. A. Treskov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: We construct a global bifurcation diagram of the plane differential system
$$
\begin{array}{l} \dot x=x(1-x)-xy/(a+x^2),
\dot y=y(\delta-\beta y/x),
x(t)>0,  y(t)>0,  a>0, \delta>0, \beta>0, \end{array}
$$
which describes the predator-prey interaction.

Keywords: bifurcation diagram, predator-prey model.

Full text: PDF file (425 kB)
References: PDF file   HTML file

Bibliographic databases:

Document Type: Article
UDC: 517.925
MSC: 34C23, 92D25
Received July 13, 2009, published March 23, 2010

Citation: E. P. Volokitin, S. A. Treskov, “Dynamics of a predator-prey model”, Sib. Èlektron. Mat. Izv., 7 (2010), 87–99

Citation in format AMSBIB
\Bibitem{VolTre10}
\by E.~P.~Volokitin, S.~A.~Treskov
\paper Dynamics of a~predator-prey model
\jour Sib. \`Elektron. Mat. Izv.
\yr 2010
\vol 7
\pages 87--99
\mathnet{http://mi.mathnet.ru/semr230}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2610168}


Linking options:
  • http://mi.mathnet.ru/eng/semr230
  • http://mi.mathnet.ru/eng/semr/v7/p87

    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
  • Number of views:
    This page:233
    Full text:72
    References:24

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019