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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorHEGOBURU, Nicolas
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMAGAL, Pierre
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorTUCSNAK, Marius
dc.description.abstractEnThis 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.
dc.language.isoen
dc.subject.enControllability
dc.subject.enPopulation dynamics
dc.subject.enPositivity
dc.title.enControllability with positivity constraints of the Lotka-McKendrick system
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Optimisation et contrôle [math.OC]
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
hal.identifierhal-01395712
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01395712v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=HEGOBURU,%20Nicolas&MAGAL,%20Pierre&TUCSNAK,%20Marius&rft.genre=preprint


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