Persistence and global stability in a delayed predator-prey system with Holling-type functional response

Rui Xu, Lansun Chen, M. A. J. Chaplain

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

A delayed predator-prey system with Holling type III functional response is investigated. It is proved that the system is uniformly persistent under some appropriate conditions. By means of suitable Lyapunov functionals, sufficient conditions are derived for the local and global asymptotic stability of a positive equilibrium of the system. Numerical simulations are presented to illustrate the feasibility of our main results.
Original languageEnglish
Pages (from-to)121-141
Number of pages21
JournalANZIAM Journal
Volume46
Issue number1
DOIs
Publication statusPublished - 2004

Keywords

  • Global stability
  • Persistence
  • Predator-prey model

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