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具有时滞和反馈控制的非自治Schoner模型的持续生存与全局渐近稳定性(英文) 被引量:6

Persistence and Global Stability for a Delayed Nonautonomous Schoner Model with Feedback Control
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摘要 讨论了具有时滞和反馈控制的非自治Schoner模型,得到了系统一致持续生存和全局渐近稳定的充分条件。 A delayed nonautonomous preschoner model with feedback control is investigated. It is shown that the system is uniformly persistent under some appropriate conditions, and sufficient conditions are derived for the global stability of positive solution of the system.
出处 《生物数学学报》 CSCD 2004年第1期1-8,共8页 Journal of Biomathematics
关键词 时滞 反馈控制 非自治Schoner模型 全局渐近稳定 一致持续生存 Time delay Uniform persistence Global stability Feedback control
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参考文献4

  • 1Zhang Lijun,Huo Haifeng,Chen Jufang.Asymptotic behavior of schoner model with feedback regulation (translated from chinese)[].Journal of Biomaterials Application.2001
  • 2Gopalsamy K,Weng P.Feedback regulation and logistic growth[].International Journal of Mathematics and Mathematical Sciences.1964
  • 3Wang W,Ma Z.Harmless delays for uniform persistence[].Journal of Mathematical Analysis and Applications.1991
  • 4Xu R,Chen L.Persistence and global stability for a delayed nonautonomous predator-prey system without dominating instantaneous negative feedback[].Journal of Mathematical Analysis and Applications.2001

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