On selection dynamics for competitive interactions

Pierre Emmanuel Jabin; Gaël Raoul

doi:10.1007/s00285-010-0370-8

On selection dynamics for competitive interactions

Pierre Emmanuel Jabin
, Gaël Raoul

INRIA
Université de Nice
ENS Paris-Saclay

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

Résumé

In this paper, we are interested in an integro-differential model that describe the evolution of a population structured with respect to a continuous trait. Under some assumption, we are able to find an entropy for the system, and show that some steady solutions are globally stable. The stability conditions we find are coherent with those of Adaptive Dynamics.

langue originale	Anglais
Pages (de - à)	493-517
Nombre de pages	25
journal	Journal of Mathematical Biology
Volume	63
Numéro de publication	3
Les DOIs	https://doi.org/10.1007/s00285-010-0370-8
état	Publié - 1 sept. 2011
Modification externe	Oui

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10.1007/s00285-010-0370-8

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title = "On selection dynamics for competitive interactions",

abstract = "In this paper, we are interested in an integro-differential model that describe the evolution of a population structured with respect to a continuous trait. Under some assumption, we are able to find an entropy for the system, and show that some steady solutions are globally stable. The stability conditions we find are coherent with those of Adaptive Dynamics.",

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AB - In this paper, we are interested in an integro-differential model that describe the evolution of a population structured with respect to a continuous trait. Under some assumption, we are able to find an entropy for the system, and show that some steady solutions are globally stable. The stability conditions we find are coherent with those of Adaptive Dynamics.

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KW - Asymptotic analysis

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KW - Integro-differential equation

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On selection dynamics for competitive interactions

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