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On selection dynamics for competitive interactions
Author(s) -
PierreEmmanuel Jabin,
G. Raoul
Publication year - 2010
Publication title -
journal of mathematical biology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.928
H-Index - 97
eISSN - 1432-1416
pISSN - 0303-6812
DOI - 10.1007/s00285-010-0370-8
Subject(s) - trait , statistical physics , stability (learning theory) , mathematics , selection (genetic algorithm) , dynamics (music) , population , mathematical economics , computer science , physics , artificial intelligence , machine learning , demography , sociology , acoustics , programming language
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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