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

Mathematics

Research output: Contribution to journal › Article › peer-review

60 Scopus citations

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.

Original language	English (US)
Pages (from-to)	493-517
Number of pages	25
Journal	Journal of Mathematical Biology
Volume	63
Issue number	3
DOIs	https://doi.org/10.1007/s00285-010-0370-8
State	Published - Sep 2011

All Science Journal Classification (ASJC) codes

Modeling and Simulation
Agricultural and Biological Sciences (miscellaneous)
Applied Mathematics

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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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On selection dynamics for competitive interactions

Abstract

All Science Journal Classification (ASJC) codes

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