S. MISCHLER, B. PERTHAME, L. RYZHIK Stability in a Nonlinear Population Maturation Model
Référence: DMA-02-11
Résumé, Abstract : We consider models for population structured by maturation/maturation speed proposed by Rotenberg. It is a variant of transport equations for age-structured populations which presents particularly interesting mathematical difficulties. It allows to introduce more stochasticity in the birth process and in the aging phenomena. We present a new method for studying the time asymptotics which is also illustrated on the simpler McKendrick-Von Foerster model. The nonlinear variants of this models are shown to exhibit either nonlinear stability or periodic solutions depending on the datum.
Nature du texte, text type : Prépublication
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