Dynamics of sexual populations structured by a space variable and a phenotypical trait

Handle URI:
http://hdl.handle.net/10754/598042
Title:
Dynamics of sexual populations structured by a space variable and a phenotypical trait
Authors:
Mirrahimi, Sepideh; Raoul, Gaël
Abstract:
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.
Citation:
Mirrahimi S, Raoul G (2013) Dynamics of sexual populations structured by a space variable and a phenotypical trait. Theoretical Population Biology 84: 87–103. Available: http://dx.doi.org/10.1016/j.tpb.2012.12.003.
Publisher:
Elsevier BV
Journal:
Theoretical Population Biology
KAUST Grant Number:
KUK-I1-007-43
Issue Date:
Mar-2013
DOI:
10.1016/j.tpb.2012.12.003
PubMed ID:
23306143
Type:
Article
ISSN:
0040-5809
Sponsors:
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.
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Full metadata record

DC FieldValue Language
dc.contributor.authorMirrahimi, Sepidehen
dc.contributor.authorRaoul, Gaëlen
dc.date.accessioned2016-02-25T13:11:33Zen
dc.date.available2016-02-25T13:11:33Zen
dc.date.issued2013-03en
dc.identifier.citationMirrahimi S, Raoul G (2013) Dynamics of sexual populations structured by a space variable and a phenotypical trait. Theoretical Population Biology 84: 87–103. Available: http://dx.doi.org/10.1016/j.tpb.2012.12.003.en
dc.identifier.issn0040-5809en
dc.identifier.pmid23306143en
dc.identifier.doi10.1016/j.tpb.2012.12.003en
dc.identifier.urihttp://hdl.handle.net/10754/598042en
dc.description.abstractWe 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.en
dc.description.sponsorshipSM 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.en
dc.publisherElsevier BVen
dc.subjectBiological invasionsen
dc.subjectGene flowen
dc.subjectStructured populationsen
dc.titleDynamics of sexual populations structured by a space variable and a phenotypical traiten
dc.typeArticleen
dc.identifier.journalTheoretical Population Biologyen
dc.contributor.institutionEcole Polytechnique, Palaiseau, Franceen
dc.contributor.institutionCEFE Centre d'Ecologie Fonctionnelle et Evolutive UMR 5175, Montpellier, Franceen
kaust.grant.numberKUK-I1-007-43en

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