Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays

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

Research output: Contribution to journalArticlepeer-review

Abstract

A discrete periodic two-species Lotka-Volterra predator-prey model with time delays is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions are derived for the existence of positive periodic solutions of the model.
Original languageEnglish
Pages (from-to)823-831
Number of pages9
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume4
Issue number3
DOIs
Publication statusPublished - 2004

Keywords

  • Discrete predator prey model
  • Time delay
  • Periodic solution
  • Coincidence degree

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