Hierarchical competition models with the Allee effect III: multispecies

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 Al...

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Main Authors:	S. Elaydi, E. Kwessi, G. Livadiotis
Format:	Article
Language:	English
Published:	Taylor & Francis Group 2018-01-01
Series:	Journal of Biological Dynamics
Subjects:	allee effect triangular maps competition models omega limit set global dynamics invariant manifolds
Online Access:	http://dx.doi.org/10.1080/17513758.2018.1439537

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spelling	doaj-eef919df224d4db5bf9835d195df16b52020-11-25T03:44:36ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662018-01-0112127128710.1080/17513758.2018.14395371439537Hierarchical competition models with the Allee effect III: multispeciesS. Elaydi0E. Kwessi1G. Livadiotis2Trinity UniversityTrinity UniversitySouthwest Research InstituteA 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.http://dx.doi.org/10.1080/17513758.2018.1439537allee effecttriangular mapscompetition modelsomega limit setglobal dynamicsinvariant manifolds
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	S. Elaydi E. Kwessi G. Livadiotis
spellingShingle	S. Elaydi E. Kwessi G. Livadiotis Hierarchical competition models with the Allee effect III: multispecies Journal of Biological Dynamics allee effect triangular maps competition models omega limit set global dynamics invariant manifolds
author_facet	S. Elaydi E. Kwessi G. Livadiotis
author_sort	S. Elaydi
title	Hierarchical competition models with the Allee effect III: multispecies
title_short	Hierarchical competition models with the Allee effect III: multispecies
title_full	Hierarchical competition models with the Allee effect III: multispecies
title_fullStr	Hierarchical competition models with the Allee effect III: multispecies
title_full_unstemmed	Hierarchical competition models with the Allee effect III: multispecies
title_sort	hierarchical competition models with the allee effect iii: multispecies
publisher	Taylor & Francis Group
series	Journal of Biological Dynamics
issn	1751-3758 1751-3766
publishDate	2018-01-01
description	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.
topic	allee effect triangular maps competition models omega limit set global dynamics invariant manifolds
url	http://dx.doi.org/10.1080/17513758.2018.1439537
work_keys_str_mv	AT selaydi hierarchicalcompetitionmodelswiththealleeeffectiiimultispecies AT ekwessi hierarchicalcompetitionmodelswiththealleeeffectiiimultispecies AT glivadiotis hierarchicalcompetitionmodelswiththealleeeffectiiimultispecies
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Hierarchical competition models with the Allee effect III: multispecies

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