Jabin Pierre-Emmanuel, Raoul Gaël
TOSCA project-team, INRIA Sophia Antipolis-Méditerranée, 2004 rte des Lucioles, BP. 93, 06902 Sophia Antipolis Cedex, France.
J Math Biol. 2011 Sep;63(3):493-517. doi: 10.1007/s00285-010-0370-8. Epub 2010 Oct 7.
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.
在本文中,我们关注一个积分 - 微分模型,该模型描述了一个关于连续性状结构化的种群的演化。在某些假设下,我们能够找到该系统的一个熵,并证明一些稳态解是全局稳定的。我们找到的稳定性条件与自适应动力学的条件是一致的。