TY - JOUR
T1 - Dynamics of sexual populations structured by a space variable and a phenotypical trait
AU - Mirrahimi, Sepideh
AU - Raoul, Gaël
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-I1-007-43
Acknowledgements: SM benefits from a 2 year "Fondation Mathematique Jacques Hadamard" (FMJH) postdoc scholarship. She would like to thank Ecole Polytechnique for its hospitality. GR has been supported by Award No. KUK-I1-007-43 of Peter A. Markowich, made by King Abdullah University of Science and Technology (KAUST). The authors would like to thank Laurent Desvillettes for introducing the problem to them. The authors are ordered alphabetically.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
PY - 2013/3
Y1 - 2013/3
N2 - We study sexual populations structured by a phenotypic trait and a space variable, in a non-homogeneous environment. Departing from an infinitesimal model, we perform an asymptotic limit to derive the system introduced in Kirkpatrick and Barton (1997). We then perform a further simplification to obtain a simple model. Thanks to this simpler equation, we can describe rigorously the dynamics of the population. In particular, we provide an explicit estimate of the invasion speed, or extinction speed of the species. Numerical computations show that this simple model provides a good approximation of the original infinitesimal model, and in particular describes quite well the evolution of the species' range. © 2013 Elsevier Inc.
AB - We study sexual populations structured by a phenotypic trait and a space variable, in a non-homogeneous environment. Departing from an infinitesimal model, we perform an asymptotic limit to derive the system introduced in Kirkpatrick and Barton (1997). We then perform a further simplification to obtain a simple model. Thanks to this simpler equation, we can describe rigorously the dynamics of the population. In particular, we provide an explicit estimate of the invasion speed, or extinction speed of the species. Numerical computations show that this simple model provides a good approximation of the original infinitesimal model, and in particular describes quite well the evolution of the species' range. © 2013 Elsevier Inc.
UR - http://hdl.handle.net/10754/598042
UR - https://linkinghub.elsevier.com/retrieve/pii/S0040580912001372
UR - http://www.scopus.com/inward/record.url?scp=84872526542&partnerID=8YFLogxK
U2 - 10.1016/j.tpb.2012.12.003
DO - 10.1016/j.tpb.2012.12.003
M3 - Article
C2 - 23306143
SN - 0040-5809
VL - 84
SP - 87
EP - 103
JO - Theoretical Population Biology
JF - Theoretical Population Biology
IS - 1
ER -