• DocumentCode
    522898
  • Title

    A Predator-Prey System with Group Defense and Impulsive Effect

  • Author

    Li, Shun-Yi ; Yan, Zhong-quan

  • Author_Institution
    Dept. of Math., Qiannan-Normal-Coll.-for ´´Nat.-Duyun, Guizhou, China
  • Volume
    3
  • fYear
    2010
  • fDate
    4-6 June 2010
  • Firstpage
    58
  • Lastpage
    61
  • Abstract
    A predator-prey system with group defense and impulsive effect is established. By using Floquet theorem and small amplitude perturbation skills, a locally stable prey-eradication periodic solution is obtained when the impulsive period is less than some critical value. Otherwise, the system is permanent. Finally, some numerical examples and conclusion are given.
  • Keywords
    differential equations; predator-prey systems; Floquet theorem; amplitude perturbation skills; group defense; impulsive effect; predator-prey system; Bifurcation; Educational institutions; Mathematics; Numerical simulation; Predator prey systems; Spraying; extinction; group defense; impulsive effect; permanence;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information and Computing (ICIC), 2010 Third International Conference on
  • Conference_Location
    Wuxi, Jiang Su
  • Print_ISBN
    978-1-4244-7081-5
  • Electronic_ISBN
    978-1-4244-7082-2
  • Type

    conf

  • DOI
    10.1109/ICIC.2010.198
  • Filename
    5513920
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=522898