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Title:
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Extinction conditions for isolated populations with Allee effect
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Author:
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Mendez, Vicenç; Sans, Cristina; Llopis Fuste, Isaac; Campos, Daniel
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Física i Enginyeria Nuclear; Universitat Politècnica de Catalunya. SC-SIMBIO - Sistemes complexos. Simulació discreta de materials i de sistemes biològics |
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Abstract:
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One of the main ecological phenomenons is the Allee effect, in which a positive benefit from the presence of conspecifics arises. In this work we describe the dynamical behavior of a population with
Allee effect in a finite domain that is surrounded by a completely hostile environment. Using spectral methods to rewrite the local density of habitants we are able to determine the critical patch size and the bifurcation diagram, hence characterizing the stability of possible solutions, for different ways to introduce the Allee effect in the reaction–diffusion equations. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
-Allee effect
-Critical patch size
-Extinction (Biology) -- Mathematical models
-Efecte Allee
-Extinció (Biologia) -- Models matemàtics |
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Rights:
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Document type:
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Article - Published version
Article |
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