Null controllability and application to data assimilation problem for a linear model of population dynamics

Traore, Oumar

Annales mathématiques Blaise Pascal, Tome 17 (2010) no. 2, pp. 375-399.

Dans cet article nous étudions un modèle linéaire de dynamique des populations. Dans ce modèle, le processus de naissance est défini par un terme non local et la distribution initiale des individus n’est pas connue. L’objectif ici est d’utiliser un resultat de contôlabilité du système adjoint pour la détermination de la densité des individus à un instant $T$.

In this paper we study a linear population dynamics model. In this model, the birth process is described by a nonlocal term and the initial distribution is unknown. The aim of this paper is to use a controllability result of the adjoint system for the computation of the density of individuals at some time $T$.

Classification : 92D25, 93B05, 35K05
Keywords: Population dynamics, Carleman inequality, Null controllability, data assimilation problem
Mot clés : Dynamique des Populations, Inégalité de Carleman, Contrôlabilité, problème d’assimilation des données

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