TY - JOUR
T1 - Long Time Evolution of Populations under Selection and Vanishing Mutations
AU - Raoul, Gaël
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-I1-007-43
Acknowledgements: The 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).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
PY - 2011/2/8
Y1 - 2011/2/8
N2 - In 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.
AB - In 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.
UR - http://hdl.handle.net/10754/598229
UR - http://link.springer.com/10.1007/s10440-011-9603-0
UR - http://www.scopus.com/inward/record.url?scp=79551576281&partnerID=8YFLogxK
U2 - 10.1007/s10440-011-9603-0
DO - 10.1007/s10440-011-9603-0
M3 - Article
SN - 0167-8019
VL - 114
SP - 1
EP - 14
JO - Acta Applicandae Mathematicae
JF - Acta Applicandae Mathematicae
IS - 1-2
ER -