Hierarchical competition models with the Allee effect II: the case of immigration

Laila Assas, Brian Dennis, Saber Elaydi, Eddy Kwessi, George Livadiotis

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


This is part II of an earlier paper that dealt with hierarchical models with the Allee effect but with no immigration. In this paper, we greatly simplify the proofs in part I and provide a proof of the global dynamics of the non-hyperbolic cases that were previously conjec-tured. Then, we show how immigration to one of the species or to both would, drastically, change the dynamics of the system. It is shown that if the level of immigration to one or to both species is above a specified level, then there will be no extinction region where both species go to extinction.

Original languageEnglish (US)
Pages (from-to)288-316
Number of pages29
JournalJournal of Biological Dynamics
Issue number1
StatePublished - 2015
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Ecology, Evolution, Behavior and Systematics
  • Ecology


  • ecology and evolutionary biology
  • Population dynamics


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