数学物理学报 ›› 2004, Vol. 4 ›› Issue (6): 641-653.

• 论文 •    下一篇

多种群生态时滞系统正周期解的全局吸引性

 文贤章, 王志成   

  1. 湖南师范大学数学系;湖南大学应用数学系
  • 出版日期:2004-12-25 发布日期:2004-12-25
  • 基金资助:

    国家自然科学基金(A0324623;10271044)资助

 Attractivity of Positive Periodic Solution of Multispecies Ecological Delay System

 WEN Xian-Zhang, WANG Zhi-Cheng   

  1. Hunan Normal University,Hunan University
  • Online:2004-12-25 Published:2004-12-25
  • Supported by:

    国家自然科学基金(A0324623;10271044)资助

摘要:

利用比较定理结合Liapunov泛函, 讨论一类具有多个周期时滞的多种群生态竞争捕食系统正周期解的存在性和全局吸引性.
最后, 利用一致持久性理论, 讨论捕食食饵系统正周期解存在的充要条件.

关键词: 比较定理, 竞争捕食系统, 全局吸引性

Abstract:

In this paper, by means of comparison theorem and Liapunov functionals, the authors consider the global attractivity of positive  periodic  solution
of multispecies ecological competitionpredator system with several periodic delays. Finally, by using  persistence theory,   the sufficient and necessary conditions of positive periodic solutions are obtained for predatorprey delay systems.

Key words: Comparison theorem, Competitionpredator system, Global attractivity.

中图分类号: 

  • 34C25