Limit cycles of a predator-prey model with intratrophic predation

Joe M. Hill, Noel G. Lloyd, Jane M. Pearson

Research output: Contribution to journalArticlepeer-review

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Abstract

We present some properties of a differential system that can be used to model intratrophic predation in simple predator-prey models. In particular, for the model we determine the maximum number of limit cycles that can exist around the only fine focus in the first quadrant and show that this critical point cannot be a centre.
Original languageEnglish
Pages (from-to)544-555
Number of pages12
JournalJournal of Mathematical Analysis and Applications
Volume349
Issue number2
DOIs
Publication statusPublished - 2008

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