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  • 标题:Existence and Global Attractivity of Positive Periodic Solutions for a Two-Species Competitive System with Stage Structure and Impulse
  • 本地全文:下载
  • 作者:Changjin Xu ; Daxue Chen
  • 期刊名称:International Journal of Differential Equations
  • 印刷版ISSN:1687-9643
  • 电子版ISSN:1687-9651
  • 出版年度:2011
  • 卷号:2011
  • DOI:10.1155/2011/259805
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A class of nonautonomous two-species competitive system with stage structure and impulse is considered. By using the continuation theorem of coincidence degree theory, we derive a set of easily verifiable sufficient conditions that guarantee the existence of at least a positive periodic solution, and, by constructing a suitable Lyapunov functional, the uniqueness and global attractivity of the positive periodic solution are presented. Finally, an illustrative example is given to demonstrate the correctness of the obtained results.
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