Hierarchical competition models with the Allee effect III: multispecies. Issue 1 (1st January 2018)

• Record Type: Journal Article
• Authors: Elaydi, S.; Kwessi, E.; Livadiotis, G.
• Is Part Of: Journal of biological dynamics. Volume 12:Issue 1(2018)
• Page Start: 271
• Page End: 287
• Publication Date: 2018-01-01
• Subjects: Allee effect -- triangular maps -- competition models -- omega limit set -- global dynamics -- invariant manifolds; 39A11 -- 92D25; Biology -- Mathematical models -- Periodicals; 570.15118
• DOI: 10.1080/17513758.2018.1439537
• Languages: English
• ISSNs: 1751-3758

Abstract

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.