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  • 标题:Global Stability for a Delayed Predator-Prey System with Stage Structure for the Predator
  • 本地全文:下载
  • 作者:Xiao Zhang ; Rui Xu ; Qintao Gan
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2009
  • 卷号:2009
  • DOI:10.1155/2009/285934
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A delayed predator-prey system with stage structure for the predator is investigated. By analyzing the corresponding characteristic equations, the local stability of equilibria of the system is discussed. The existence of Hopf bifurcation at the positive equilibrium is established. By using an iteration technique and comparison argument, respectively, sufficient conditions are derived for the global stability of the positive equilibrium and two boundary equilibria of the system. Numerical simulations are carried out to illustrate the theoretical results.
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