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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Jabin, PE., Raoul, G. On selection dynamics for competitive interactions. J. Math. Biol. 63, 493–517 (2011). https://doi.org/10.1007/s00285-010-0370-8
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DOI: https://doi.org/10.1007/s00285-010-0370-8