title: On selection dynamics for competitive interactions.
abstract: In this paper, we are interested in an integro-differential model that describe the evolution of a population structured with respect to a continuous trait. Under some assumption, we are able to find an entropy for the system, and show that some steady solutions are globally stable. The stability conditions we find are coherent with those of Adaptive Dynamics.
authors.affiliation: TOSCA project-team, INRIA Sophia Antipolis-Méditerranée, 2004 rte des Lucioles, BP. 93, 06902 Sophia Antipolis Cedex, France. jabin@unice.fr
authors.forename: Pierre-Emmanuel
authors.initials: PE
authors.lastname: Jabin
authors.forename: Gaël
authors.initials: G
authors.lastname: Raoul
mesh_terms: D049810:Genetic Speciation; D008957:Models, Genetic; D011157:Population Dynamics; D012641:Selection, Genetic