Modeling plant nutrient uptake : mathematical analysis and optimal control - Université de Guyane Access content directly
Journal Articles Evolution Equations and Control Theory Year : 2015

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.
Fichier principal
Vignette du fichier
Article_EECT_Final_Version_6.pdf (357.69 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-01891239 , version 1 (09-10-2018)

Licence

Identifiers

Cite

Loïc Louison, Abdennebi Omrane, Harry Ozier-Lafontaine, Delphine Picart. Modeling plant nutrient uptake : mathematical analysis and optimal control. Evolution Equations and Control Theory, 2015, 4 (2), pp.193-203. ⟨10.3934/eect.2015.4.193⟩. ⟨hal-01891239⟩
202 View
183 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More