Persistence and stability for a two species ratio-dependent predator-prey system with distributed time delay

Rui Xu, F. A. Davidson, M. A. J. Chaplain

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

A two-species ratio-dependent predator?prey model with distributed time delay is investigated. It is shown that the system is persistent under some appropriate conditions, and sufficient conditions are obtained for both the local and global stability of the positive equilibrium of the system.
Original languageEnglish
Pages (from-to)256-277
Number of pages22
JournalJournal of Mathematical Analysis and Applications
Volume269
Issue number1
DOIs
Publication statusPublished - 2002

Keywords

  • Time delay
  • Uniform persistence
  • Local stability
  • Global stability

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