General relative entropy in a nonlinear McKendrick model | Zendy

Philippe Michel | Zendy

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General relative entropy in a nonlinear McKendrick model

Author(s) -

Philippe Michel

Publication year - 2007

Publication title -

contemporary mathematics - american mathematical society

Language(s) - English

Resource type - Reports

SCImago Journal Rank - 0.106

H-Index - 12

eISSN - 1098-3627

pISSN - 0271-4132

DOI - 10.1090/conm/429/08238

Subject(s) - mathematics , nonlinear system , entropy (arrow of time) , kullback–leibler divergence , statistical physics , statistics , physics , thermodynamics , quantum mechanics

International audienceWe use the General Relative Entropy Inequality introduced in [12, 13, 14] to analyze the long time convergence in a nonlinear renewal equation, a PDE that describes age structured populations for instance. More precisely, we prove that under some assumptions on the nonlinear term in a model of McKendrick-Von Foerster we deduce easily the global convergence using the General Relative Entropy (GRE) method of entropy. Then we compare the local asymptotic results obtained by linearisation and by the GRE principle

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