Local stability of evolutionary attractors for continuous structured populations

Gaël Raoul

doi:10.1007/s00605-011-0354-9

Local stability of evolutionary attractors for continuous structured populations

Gaël Raoul

University of Cambridge

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

In this paper, we are interested in the nonlinear stability of Dirac-type steady solutions to an integro-differential equation appearing in the study of populations which are structured with respect to a quantitative (continuous) trait. We show that stability conditions of Adaptive Dynamics extend to this model.

langue originale	Anglais
Pages (de - à)	117-144
Nombre de pages	28
journal	Monatshefte fur Mathematik
Volume	165
Numéro de publication	1
Les DOIs	https://doi.org/10.1007/s00605-011-0354-9
état	Publié - 1 janv. 2012
Modification externe	Oui

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title = "Local stability of evolutionary attractors for continuous structured populations",

abstract = "In this paper, we are interested in the nonlinear stability of Dirac-type steady solutions to an integro-differential equation appearing in the study of populations which are structured with respect to a quantitative (continuous) trait. We show that stability conditions of Adaptive Dynamics extend to this model.",

keywords = "ESS, Evolutionary attractor, Long time asymptotics, Population dynamics, Selection-competition",

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KW - Evolutionary attractor

KW - Long time asymptotics

KW - Population dynamics

KW - Selection-competition

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Local stability of evolutionary attractors for continuous structured populations

Résumé

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