Periodic solutions for a predator-prey model with Holling-type functional response and time delays

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

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)

Abstract

A delayed periodic Holling-type predator?prey model without instantaneous negative feedback is investigated. By using the continuation theorem of coincidence degree theory and by constructing suitable Lyapunov functionals, a set of easily verifiable sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions to the model. Numerical simulation is carried out to illustrate the feasibility of our main results.
Original languageEnglish
Pages (from-to)637-654
Number of pages18
JournalApplied Mathematics and Computation
Volume161
Issue number2
DOIs
Publication statusPublished - 2005

Keywords

  • Predator-prey system
  • Time delay
  • Periodic solution
  • Lyapunov functional
  • Global stability

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