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Article Dans Une Revue Applied Mathematical Modelling Année : 2018

Null controllability of Salmonella spread within an industrial hen house

Gisèle Mophou
René Dorville
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Résumé

The main purpose of this paper is to propose a deterministic mathematical model with control variable which describes the spatiotemporal spread of \emph{Salmonella} within a laying flock. This model assume an indirect transmission of the disease within the flock through the bacteria density in the environment. We provide a mathematical analyze of the null controllability of the model: we begin to construct a family of solutions to the linear null-controllability problem using the the Carleman inequality. Then, by a generalized Leray-Shauder fixed point theorem, we show that one can bring the system to rest at final time T.
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Dates et versions

hal-01683267 , version 2 (13-01-2018)
hal-01683267 , version 1 (09-09-2020)

Identifiants

  • HAL Id : hal-01683267 , version 2

Citer

Gisèle Mophou, Pascal Zongo, René Dorville. Null controllability of Salmonella spread within an industrial hen house. Applied Mathematical Modelling, In press. ⟨hal-01683267v2⟩
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