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Modeling plant nutrient uptake : mathematical analysis and optimal control

hal.structure.identifierUMR 228 Espace-Dev, Espace pour le développement
dc.contributor.authorLOUISON, Loïc
hal.structure.identifierUMR 228 Espace-Dev, Espace pour le développement
dc.contributor.authorOMRANE, Abdennebi
hal.structure.identifierUnité de Recherche AgroPédoClimatique de la zone caraïbe [APC]
dc.contributor.authorOZIER-LAFONTAINE, Harry
hal.structure.identifierInteractions Sol Plante Atmosphère [UMR ISPA]
dc.contributor.authorPICART, Delphine
dc.contributor.editorThomas Seidman
dc.contributor.editorSamira El Yacoubi
dc.contributor.editorAbdessamad Tridane
dc.date.accessioned2024-04-08T12:08:36Z
dc.date.available2024-04-08T12:08:36Z
dc.date.issued2015
dc.identifier.issn2163-2480
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/196527
dc.description.abstractEnThe article studies the nutrient transfer mechanism and its control for mixed cropping systems. It presents a mathematical analysis and optimal control of the absorbed nutrient concentration, governed by a transport-diffusion equation in a bounded domain near the root system, satisfying to the Michaelis-Menten uptake law. The existence, uniqueness and positivity of a solution (the absorbed concentration) is proved. We also show that for a given plant we can determine the optimal amount of required nutrients for its growth. The characterization of the optimal control leading to the desired concentration at the root surface is obtained. Finally, some numerical simulations to evaluate the theoretical results are proposed.
dc.language.isoen
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/
dc.subject.enoptimal control
dc.subject.enNumerical analysis
dc.subject.ennutrient uptake
dc.subject.enNTB-System
dc.subject.entransport-diffusion system
dc.title.enModeling plant nutrient uptake : mathematical analysis and optimal control
dc.typeArticle de revue
dc.identifier.doi10.3934/eect.2015.4.193
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Optimisation et contrôle [math.OC]
bordeaux.journalEvolution Equations and Control Theory
bordeaux.page193-203
bordeaux.volume4
bordeaux.hal.laboratoriesInteractions Soil Plant Atmosphere (ISPA) - UMR 1391*
bordeaux.issue2
bordeaux.institutionBordeaux Sciences Agro
bordeaux.institutionINRAE
bordeaux.peerReviewedoui
hal.identifierhal-01891239
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01891239v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Evolution%20Equations%20and%20Control%20Theory&rft.date=2015&rft.volume=4&rft.issue=2&rft.spage=193-203&rft.epage=193-203&rft.eissn=2163-2480&rft.issn=2163-2480&rft.au=LOUISON,%20Lo%C3%AFc&OMRANE,%20Abdennebi&OZIER-LAFONTAINE,%20Harry&PICART,%20Delphine&rft.genre=article


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