HEGOBURU, Nicolas; MAGAL, Pierre; TUCSNAK, Marius

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HEGOBURU, Nicolas
Institut de Mathématiques de Bordeaux [IMB]

MAGAL, Pierre
Institut de Mathématiques de Bordeaux [IMB]

TUCSNAK, Marius
Institut de Mathématiques de Bordeaux [IMB]

Langue

Document de travail - Pré-publication

Résumé en anglais

This work considers the linear Lotka-McKendrick system from population dynamics with control active on individuals in a prescribed age range. The main results assert that given τ large enough (but possibly smaller than the life expectancy), there exists controls driving the system to any equilibrium state or any uncontrolled trajectory in time τ. Moreover, we show that if the initial and final states are positive then the constructed controls preserve the positivity of the population density on the whole time interval [0, τ ]. The method is a direct one, in the spirit of some early works on the controllability of hyperbolic systems in one space dimension. Finally, we apply our method to a nonlinear infection-age model.< Réduire

Mots clés en anglais

Controllability

Population dynamics

Positivity

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251