Dynamics of sexual populations structured by a space variable and a phenotypical trait
KAUST Grant NumberKUK-I1-007-43
Permanent link to this recordhttp://hdl.handle.net/10754/598042
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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.
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.
SponsorsSM 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.
JournalTheoretical Population Biology
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