Long Time Evolution of Populations under Selection and Vanishing Mutations
KAUST Grant NumberKUK-I1-007-43
Online Publication Date2011-02-08
Print Publication Date2011-04
Permanent link to this recordhttp://hdl.handle.net/10754/598229
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AbstractIn this paper, we consider a long time and vanishing mutations limit of an integro-differential model describing the evolution of a population structured with respect to a continuous phenotypic trait. We show that the asymptotic population is a steady-state of the evolution equation without mutations, and satisfies an evolutionary stability condition. © 2011 Springer Science+Business Media B.V.
CitationRaoul G (2011) Long Time Evolution of Populations under Selection and Vanishing Mutations. Acta Appl Math 114: 1–14. Available: http://dx.doi.org/10.1007/s10440-011-9603-0.
SponsorsThe author has been supported by Award No. KUK-I1-007-43 of Peter A. Markowich, made by King Abdullah University of Science and Technology (KAUST).
JournalActa Applicandae Mathematicae