Extinction conditions for isolated populations with Allee effect

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Física i Enginyeria Nuclear
dc.contributor	Universitat Politècnica de Catalunya. SC-SIMBIO - Sistemes complexos. Simulació discreta de materials i de sistemes biològics
dc.contributor.author	Mendez, Vicenç
dc.contributor.author	Sans, Cristina
dc.contributor.author	Llopis Fuste, Isaac
dc.contributor.author	Campos, Daniel
dc.date	2011-06
dc.identifier.citation	Mendez, V. [et al.]. Extinction conditions for isolated populations with Allee effect. "Mathematical biosciences", Juny 2011, vol. 232, núm. 1, p. 78-86.
dc.identifier.citation	0025-5564
dc.identifier.citation	10.1016/j.mbs.2011.04.005
dc.identifier.uri	http://hdl.handle.net/2117/13096
dc.language.iso	eng
dc.relation	http://linkinghub.elsevier.com/retrieve/pii/S0025556411000691
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject	Allee effect
dc.subject	Critical patch size
dc.subject	Extinction (Biology) -- Mathematical models
dc.subject	Efecte Allee
dc.subject	Extinció (Biologia) -- Models matemàtics
dc.title	Extinction conditions for isolated populations with Allee effect
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	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.
dc.description.abstract	Peer Reviewed

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