Global dynamics in the leslie-gower model with the allee effect

Valery A. Gaiko, Cornelis Vuik

Research output: Contribution to journalArticleScientificpeer-review

4 Citations (Scopus)
8 Downloads (Pure)

Abstract

We complete the global bifurcation analysis of the Leslie-Gower system with the Allee effect which models the dynamics of the populations of predators and their prey in a given ecological or biomedical system. In particular, studying global bifurcations of limit cycles, we prove that such a system can have at most two limit cycles surrounding one singular point.

Original languageEnglish
Article number1850151
Pages (from-to)1-10
Number of pages10
JournalInternational Journal of Bifurcation and Chaos
Volume28
Issue number12
DOIs
Publication statusPublished - 2018

Keywords

  • Allee effect
  • bifurcation
  • field rotation parameter
  • Leslie-Gower model
  • limit cycle
  • singular point
  • Wintner-Perko Termination Principle

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