On selection dynamics for competitive interactions

Pierre-Emmanuel Jabin 1, 2 Gaël Raoul 3
INRIA Lorraine, CRISAM - Inria Sophia Antipolis - Méditerranée , UHP - Université Henri Poincaré - Nancy 1, Université Nancy 2, INPL - Institut National Polytechnique de Lorraine, CNRS - Centre National de la Recherche Scientifique : UMR7502
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.
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Submitted on : Tuesday, June 21, 2011 - 2:43:43 PM
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Pierre-Emmanuel Jabin, Gaël Raoul. On selection dynamics for competitive interactions. Journal of Mathematical Biology, Springer Verlag (Germany), 2010, ⟨10.1007/s00285-010-0370-8⟩. ⟨hal-00602077⟩



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