Modeling plant nutrient uptake : mathematical analysis and optimal control

Abstract : 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.
Liste complète des métadonnées

https://hal.univ-guyane.fr/hal-01891239
Contributeur : Marie Latour <>
Soumis le : mardi 9 octobre 2018 - 13:49:50
Dernière modification le : jeudi 28 mars 2019 - 11:24:15

Fichier

Article_EECT_Final_Version_6.p...
Fichiers produits par l'(les) auteur(s)

Licence


Distributed under a Creative Commons Paternité - Pas d'utilisation commerciale - Partage selon les Conditions Initiales 4.0 International License

Identifiants

Citation

Loïc Louison, Abdennebi Omrane, Harry Ozier-Lafontaine, Delphine Picart. Modeling plant nutrient uptake : mathematical analysis and optimal control. Evolution Equations and Control Theory, American Institute of Mathematical Sciences (AIMS), 2015, 4 (2), pp.193-203. 〈10.3934/eect.2015.4.193〉. 〈hal-01891239〉

Partager

Métriques

Consultations de la notice

67

Téléchargements de fichiers

26