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NULL CONTROLLABILITY OF SALMONELLA SPREAD WITHIN AN INDUSTRIAL HEN HOUSE

Abstract : The main purpose of this paper is to propose a deterministic mathematical model with control variable which describes the spatiotemporal spread of 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 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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https://hal.univ-antilles.fr/hal-02934514
Contributor : René Dorville <>
Submitted on : Wednesday, September 9, 2020 - 1:58:52 PM
Last modification on : Monday, November 9, 2020 - 1:29:38 PM
Long-term archiving on: : Thursday, December 3, 2020 - 1:08:05 AM

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Gisèle Mophou, Pascal Zongo, René Dorville. NULL CONTROLLABILITY OF SALMONELLA SPREAD WITHIN AN INDUSTRIAL HEN HOUSE. 2020. ⟨hal-02934514⟩

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