• DocumentCode
    2370926
  • Title

    Bifurcation of a discrete-time predator-prey system

  • Author

    Zhu, Wenwen ; Fu, Chaojin ; Huang, Jian

  • Author_Institution
    Coll. of Math. & Stat., Hubei Normal Univ., Huangshi, China
  • fYear
    2012
  • fDate
    23-25 March 2012
  • Firstpage
    176
  • Lastpage
    180
  • Abstract
    The dynamics of a discrete-time predator-prey system is researched in the closed first quadrant R+2 in this paper. It is shown that the system undergoes flip bifurcation and Neimark-Sacker bifurcation in the interior of the closed first quadrant R+2 by using the center manifold theorem and bifurcation theory.
  • Keywords
    bifurcation; discrete time systems; predator-prey systems; Neimark-Sacker bifurcation; bifurcation theory; center manifold theorem; closed first quadrant; discrete-time predator-prey system; flip bifurcation; Bifurcation; Biological system modeling; Eigenvalues and eigenfunctions; Manifolds; Mathematical model; Predator prey systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Science and Technology (ICIST), 2012 International Conference on
  • Conference_Location
    Hubei
  • Print_ISBN
    978-1-4577-0343-0
  • Type

    conf

  • DOI
    10.1109/ICIST.2012.6221632
  • Filename
    6221632