untitled
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<identifier>oai:HAL:hal-01683267v1</identifier>
<datestamp>2018-01-17</datestamp>
<setSpec>type:ART</setSpec>
<setSpec>subject:math</setSpec>
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<setSpec>collection:CNAM</setSpec>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>Null controllability of Salmonella spread within an industrial hen house</title>
<creator>Mophou, Gisèle</creator>
<creator>Zongo, Pascal</creator>
<creator>Dorville, René</creator>
<contributor>UMR EcoFoG, Laboratoire Matériaux et Molécules en Milieu Amazonien (L3MA) ; Conservatoire National des Arts et Métiers (CNAM)</contributor>
<description>International audience</description>
<source>ISSN: 0307-904X</source>
<source>Applied Mathematical Modelling</source>
<publisher>Elsevier</publisher>
<identifier>hal-01683267</identifier>
<identifier>https://hal.univ-antilles.fr/hal-01683267</identifier>
<identifier>https://hal.univ-antilles.fr/hal-01683267/document</identifier>
<identifier>https://hal.univ-antilles.fr/hal-01683267/file/APM-S-13-02490-1.pdf</identifier>
<source>https://hal.univ-antilles.fr/hal-01683267</source>
<source>Applied Mathematical Modelling, Elsevier, 2016</source>
<language>en</language>
<subject lang=en>Heat equation</subject>
<subject lang=en>Optimal control</subject>
<subject lang=en>Controllability</subject>
<subject lang=en>Carleman inequalities</subject>
<subject>[MATH] Mathematics [math]</subject>
<subject>[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>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.</description>
<date>2016</date>
<rights>info:eu-repo/semantics/OpenAccess</rights>
</dc>
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