Discrete-time, discrete stage-structured predator-prey models

Sophia R.J. Jang, Azmy S. Ackleh

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

Two discrete-time, discrete stage-structured predator-prey models are presented and analyzed. For these models it is shown that both populations go to extinction when the intrinsic growth rate of the prey is less than one. The prey population dynamics exhibits synchronizing phenomenon in the absence of its predator if the prey population is stage-structured with juvenile and adult classes. A unique interior steady state exists for both models when boundary equilibria lose their stability if Beverton-Holt type functional is adopted. This conclusion is not valid if Ricker type functional is used. The results demonstrated that Ricker type equation has more complicated dynamics than that of Beverton-Holt type equation for the stage-structured predator-prey models studied.

Original languageEnglish
Pages (from-to)399-413
Number of pages15
JournalJournal of Difference Equations and Applications
Volume11
Issue number4-5
DOIs
StatePublished - Apr 2005

Keywords

  • Beverton-Holt type
  • Discrete stage-structured predator-prey model
  • Discrete-time predator-prey model
  • Ricker type

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