Stable Periodic Orbits for a Predator-Prey Model with Delay

Mario Cavani, Marcos Lizana, Hal Smith

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


In this paper we consider a predator-prey model with time lag which improves upon that proposed by Cavani and Farkas [1994, Acta Math. Hungar.63(3), 213-229]. We show that when the model has exactly one non-trivial unstable and hyperbolic equilibrium there exists a stable periodic orbit.

Original languageEnglish (US)
Pages (from-to)324-339
Number of pages16
JournalJournal of Mathematical Analysis and Applications
Issue number2
StatePublished - Sep 15 2000


  • Delay
  • Predator-prey model
  • Stable periodic orbit
  • Uniform persistence

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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