Modeling plant nutrient uptake : mathematical analysis and optimal control
| hal.structure.identifier | UMR 228 Espace-Dev, Espace pour le développement | |
| dc.contributor.author | LOUISON, Loïc | |
| hal.structure.identifier | UMR 228 Espace-Dev, Espace pour le développement | |
| dc.contributor.author | OMRANE, Abdennebi | |
| hal.structure.identifier | Unité de Recherche AgroPédoClimatique de la zone caraïbe [APC] | |
| dc.contributor.author | OZIER-LAFONTAINE, Harry | |
| hal.structure.identifier | Interactions Sol Plante Atmosphère [UMR ISPA] | |
| dc.contributor.author | PICART, Delphine | |
| dc.contributor.editor | Thomas Seidman | |
| dc.contributor.editor | Samira El Yacoubi | |
| dc.contributor.editor | Abdessamad Tridane | |
| dc.date.accessioned | 2024-04-08T12:08:36Z | |
| dc.date.available | 2024-04-08T12:08:36Z | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 2163-2480 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/196527 | |
| dc.description.abstractEn | The 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.iso | en | |
| dc.publisher | American Institute of Mathematical Sciences (AIMS) | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/ | |
| dc.subject.en | optimal control | |
| dc.subject.en | Numerical analysis | |
| dc.subject.en | nutrient uptake | |
| dc.subject.en | NTB-System | |
| dc.subject.en | transport-diffusion system | |
| dc.title.en | Modeling plant nutrient uptake : mathematical analysis and optimal control | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.3934/eect.2015.4.193 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Optimisation et contrôle [math.OC] | |
| bordeaux.journal | Evolution Equations and Control Theory | |
| bordeaux.page | 193-203 | |
| bordeaux.volume | 4 | |
| bordeaux.hal.laboratories | Interactions Soil Plant Atmosphere (ISPA) - UMR 1391 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Bordeaux Sciences Agro | |
| bordeaux.institution | INRAE | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01891239 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01891239v1 | |
| bordeaux.COinS | ctx_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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