Persistence and global stability of a ratio-dependent predator-prey model with stage structure

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

Research output: Contribution to journalArticlepeer-review

49 Citations (Scopus)

Abstract

A ratio-dependent predator?prey model with stage structure for prey is investigated. First, sufficient conditions are derived for the uniform persistence and impermanence of the model. Next, by constructing appropriate Lyapunov functions, a set of easily verifiable sufficient conditions are obtained for the global asymptotic stability of nonnegative equilibria of the model. Numerical simulations are presented to illustrate the validity of our main results.
Original languageEnglish
Pages (from-to)729-744
Number of pages16
JournalApplied Mathematics and Computation
Volume158
Issue number3
DOIs
Publication statusPublished - Nov 2004

Keywords

  • Ratio-dependence
  • Predator-prey model
  • Stage structure
  • Uniform persistence
  • Global stability

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