Allee effects in a Ricker-type predator-prey system

Yunshyong Chow, Sophia R.J. Jang

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We study a discrete host-parasitoid system where the host population follows the classical Ricker functional form and is also subject to Allee effects. We determine basins of attraction of the local attractors of the single population model when the host intrinsic growth rate is not large. In this situation, existence and local stability of the interior steady states for the host-parasitoid interaction are completely analysed. If the host's intrinsic growth rate is large, then the interaction may support multiple interior steady states. Linear stability of these steady states is provided.

Original languageEnglish
Pages (from-to)1350-1371
Number of pages22
JournalJournal of Difference Equations and Applications
Volume20
Issue number9
DOIs
StatePublished - Sep 2014

Keywords

  • Allee effects
  • Ricker model
  • linear stability
  • period-doubling bifurcation

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