• DocumentCode
    3425339
  • Title

    Periodic solutions of discrete time and ratio-dependent system with one predator and two cooperative preys

  • Author

    Li Yanhong ; Liu Taihui ; Zhao Ming ; Cheng Rongfu

  • Author_Institution
    Coll. of Math., Beihua Univ., Jilin, China
  • fYear
    2011
  • fDate
    19-22 Aug. 2011
  • Firstpage
    179
  • Lastpage
    181
  • Abstract
    In this paper, we consider a three-species ratio-dependent predator-prey model governed by difference equations with periodic coefficients and discrete time, in which two cooperative preys are preyed by one predator. By using the method of coincidence degree, we discuss the existence of positive periodic solutions of this system; a set of easily verifiable sufficient conditions is obtained.
  • Keywords
    difference equations; discrete time systems; periodic control; predator-prey systems; coincidence degree; cooperative preys; difference equations; discrete time system; periodic solutions; predator-prey model; ratio-dependent system; Cities and towns; Computational modeling; Educational institutions; Equations; Mathematical model; Predator prey systems; Coincidence degree; Difference equation; Positive periodic solutions; Predator-prey system; Ratio-dependent;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Human Health and Biomedical Engineering (HHBE), 2011 International Conference on
  • Conference_Location
    Jilin
  • Print_ISBN
    978-1-61284-723-8
  • Type

    conf

  • DOI
    10.1109/HHBE.2011.6027928
  • Filename
    6027928