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  • 标题:Dynamics of almost periodic solutions for a discrete Fox harvesting model with feedback control
  • 本地全文:下载
  • 作者:Jehad Alzabut
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2012
  • 卷号:2012
  • 期号:1
  • 页码:157
  • DOI:10.1186/1687-1847-2012-157
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We consider the following discrete Fox harvesting model with feedback control of the form { x ( n + 1 ) = x ( n ) exp { β ( n ) ln r ( K ( n ) x ( n ) ) − α ( n ) − γ ( n ) u ( n ) } , Δ u ( n ) = − μ ( n ) u ( n ) + ν ( n ) x ( n ) . Under the assumptions of almost periodicity of the coefficients, sufficient conditions are established for the existence and uniformly asymptotical stability of almost periodic solutions of this model. The persistence as well as the boundedness of solutions of the above system are discussed prior to presenting the main result. Examples are provided to illustrate the effectiveness of the proposed results. MSC:39A11, 34K14.
  • 关键词:discrete Fox harvesting model ; almost periodic ; persistence and boundedness ; feedback control ; uniformly asymptotical stability
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