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  • 标题:Double Periodic Solutions for a Ratio-Dependent Predator-Prey System with Harvesting Terms on Time Scales
  • 本地全文:下载
  • 作者:Zhenjie Liu
  • 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:10.1155/2009/243974
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We investigate a nonautonomous ratio-dependent predator-prey model with Beddington-DeAngelis functional response and multiple harvesting (or exploited) terms on time scales. By means of using a continuation theorem based on coincidence degree theory, we obtain sufficient criteria for the existence of at least two periodic solutions for the system. Moreover, when the time scale 𝕋 is chosen as ℝ or ℤ, the existence of the periodic solutions of the corresponding continuous and discrete models follows. Therefore, the methods are unified to provide the existence of the desired solutions for the continuous differential equations and discrete difference equations.
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