caa a22 4500 445329920 CHVBK 20180317142734.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s00285-010-0370-8 doi (NATIONALLICENCE)springer-10.1007/s00285-010-0370-8 On selection dynamics for competitive interactions [Elektronische Daten] [Pierre-Emmanuel Jabin, Gaël Raoul] 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. Springer-Verlag, 2010 Adaptive dynamics nationallicence Asymptotic analysis nationallicence Integro-differential equation nationallicence ESS nationallicence Jabin Pierre-Emmanuel TOSCA project-team, INRIA Sophia Antipolis-Méditerranée, 2004 rte des Lucioles, BP. 93, 06902, Sophia Antipolis Cedex, France aut Raoul Gaël CMLA, ENS Cachan, CNRS, PRES UniverSud, 61, avenue du Président Wilson, 94235, Cachan Cedex, France aut Journal of Mathematical Biology Springer-Verlag 63/3(2011-09-01), 493-517 0303-6812 63:3<493 2011 63 285 https://doi.org/10.1007/s00285-010-0370-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00285-010-0370-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Jabin Pierre-Emmanuel TOSCA project-team, INRIA Sophia Antipolis-Méditerranée, 2004 rte des Lucioles, BP. 93, 06902, Sophia Antipolis Cedex, France aut NATIONALLICENCE 700 1- Raoul Gaël CMLA, ENS Cachan, CNRS, PRES UniverSud, 61, avenue du Président Wilson, 94235, Cachan Cedex, France aut NATIONALLICENCE 773 0- Journal of Mathematical Biology Springer-Verlag 63/3(2011-09-01), 493-517 0303-6812 63:3<493 2011 63 285 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer