Null controllability and application to data assimilation problem for a linear model of population dynamics
Annales mathématiques Blaise Pascal, Volume 17 (2010) no. 2, p. 375-399

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.

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.

DOI : https://doi.org/10.5802/ambp.289
Classification:  92D25,  93B05,  35K05
Keywords: Population dynamics, Carleman inequality, Null controllability, data assimilation problem
@article{AMBP_2010__17_2_375_0,
     author = {Traore, Oumar},
     title = {Null controllability and application to data assimilation problem for a linear model of population dynamics},
     journal = {Annales math\'ematiques Blaise Pascal},
     publisher = {Annales math\'ematiques Blaise Pascal},
     volume = {17},
     number = {2},
     year = {2010},
     pages = {375-399},
     doi = {10.5802/ambp.289},
     mrnumber = {2778914},
     zbl = {1207.92038},
     language = {en},
     url = {http://www.numdam.org/item/AMBP_2010__17_2_375_0}
}
Traore, Oumar. Null controllability and application to data assimilation problem for a linear model of population dynamics. Annales mathématiques Blaise Pascal, Volume 17 (2010) no. 2, pp. 375-399. doi : 10.5802/ambp.289. http://www.numdam.org/item/AMBP_2010__17_2_375_0/

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