Hierarchical competition models with the Allee effect III: Multispecies

S. Elaydi, E. Kwessi, G. Livadiotis

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

A general notion of the Allee effect for higher dimensional triangular maps is proposed. A global dynamics theory is established. The theory is applied to multi-species hierarchical models. Then we provide a detailed study of the global dynamics of three-species Ricker competition models with the Allee effect. Regions of extinction, exclusion and coexistence are identified.

Original languageEnglish (US)
Pages (from-to)271-287
Number of pages17
JournalJournal of Biological Dynamics
Volume12
Issue number1
DOIs
StatePublished - Jan 1 2018
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Ecology, Evolution, Behavior and Systematics
  • Ecology

Keywords

  • Allee effect
  • Competition models
  • Global dynamics
  • Invariant manifolds
  • Omega limit set
  • Triangular maps

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