• DocumentCode
    2841995
  • Title

    Periodicity and Permanence of Two Prey-One Predator Model with Infinite Delay

  • Author

    Li, Tingbin

  • Author_Institution
    Math. Coll., Beihua Univ., Jilin, China
  • fYear
    2012
  • fDate
    24-25 July 2012
  • Firstpage
    190
  • Lastpage
    193
  • Abstract
    This paper studies a nonautonomous predator-prey system with two compete prey predated by one predator and infinite delay. By using differential equation Comparability Theorem and Continuation theorem based on Coincidence degree theory, we obtain the permanent and positive periodic solution existence of the system. Some new results obtained.
  • Keywords
    delays; differential equations; ecology; predator-prey systems; time-varying systems; coincidence degree theory; comparability theorem; continuation theorem; differential equation; ecosystem; infinite delay; nonautonomous predator-prey system; periodicity; permanence; permanent solution; positive periodic solution existence; two prey-one predator model; Delay; Differential equations; Educational institutions; Equations; Mathematical model; Predator prey systems; Vectors; Continuation theorem; Nonautonomous predator system; persistence; positive periodic solution;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information and Computing Science (ICIC), 2012 Fifth International Conference on
  • Conference_Location
    Liverpool
  • ISSN
    2160-7443
  • Print_ISBN
    978-1-4673-1985-0
  • Type

    conf

  • DOI
    10.1109/ICIC.2012.36
  • Filename
    6258103