Persistence and global stability in a delayed Gause-type predator-prey system without dominating instantaneous negative feedbacks

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Abstract

A delayed Gause-type predator?prey system without dominating instantaneous negative feedbacks is investigated. It is proved that the system is uniformly persistent under some appropriate conditions. By means of constructing a suitable Lyapunov functional, sufficient conditions are derived for the local and global asymptotic stability of the positive equilibrium of the system.
Original languageEnglish
Pages (from-to)148-162
Number of pages15
JournalJournal of Mathematical Analysis and Applications
Volume265
Issue number1
DOIs
Publication statusPublished - 2002

Keywords

  • Uniform persistence
  • Stability
  • Delay
  • Lyapunov functional

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