• DocumentCode
    1798399
  • Title

    Stability and Hopf bifurcation analysis of a delayed co-opetition-symbiosis syetem

  • Author

    Qin Gao ; Chen-Xia Jin

  • Author_Institution
    Sch. of Econ. & Manage., Hebei Univ. of Sci. & Technol., Shijiazhuang, China
  • Volume
    2
  • fYear
    2014
  • fDate
    13-16 July 2014
  • Firstpage
    653
  • Lastpage
    659
  • Abstract
    A delayed co-opetition-symbiosis system is considered in this paper. By using the normal form theory and the center manifold theorem, the stability and Hopf bifurcations are investigated. It is found that the Hopf bifurcations occur when the delay passes through a sequence of critical values. At last, some numerical simulations are carried out to illustrate the main results.
  • Keywords
    bifurcation; delays; nonlinear differential equations; predator-prey systems; stability; Hopf bifurcation analysis; center manifold theorem; delayed co-opetition-symbiosis system; normal form theory; stability; Abstracts; Biological system modeling; Educational institutions; Stability analysis; Water; Center manifold theorem; Co-opetition-symbiosis model; Delays; Hopf bifurcation; Normal form;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Machine Learning and Cybernetics (ICMLC), 2014 International Conference on
  • Conference_Location
    Lanzhou
  • ISSN
    2160-133X
  • Print_ISBN
    978-1-4799-4216-9
  • Type

    conf

  • DOI
    10.1109/ICMLC.2014.7009686
  • Filename
    7009686