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  • 标题:Permanence and Stability of an Age-Structured Prey-Predator System with Delays
  • 本地全文:下载
  • 作者:Liming Cai ; Xuezhi Li ; Xinyu Song
  • 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:2007
  • 卷号:2007
  • DOI:10.1155/2007/54861
  • 出版社:Hindawi Publishing Corporation
  • 摘要:An age-structured prey-predator model with delays is proposed and analyzed. Mathematical analyses of the model equations with regard to boundedness of solutions, permanence, and stability are analyzed. By using the persistence theory for infinite-dimensional systems, the sufficient conditions for the permanence of the system are obtained. By constructing suitable Lyapunov functions and using an iterative technique, sufficient conditions are also obtained for the global asymptotic stability of the positive equilibrium of the model.
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