G. Allaire, Analyse numérique et optimisation, Les Editions de l'Ecole Polytechnique, 2012.

S. A. Barber, Soil nutrient bioavailability : a mechanistic approach, 2 nd Ed, 1995.

J. Blazy, De l'innovationàinnovation`innovationà l'adoption de nouvelle pratiques dans lafilì ere banane, Innovation Agronomiques, vol.16, pp.39-51, 2011.

M. Comte, J. Coron, S. Guerrero, and P. Tournier, Analysis of a model of phosphorus uptake by plant roots, Journal of Evolution Equations, vol.42, issue.3, pp.595-615, 2013.
DOI : 10.1007/s00028-013-0192-4
URL : https://hal.archives-ouvertes.fr/hal-00739873

R. Dautray and J. Lions, Mathematical Analysis and Numerical Methods for Science and Technology, Functional and Variational Methods, 2000.
DOI : 10.1007/978-3-642-61529-0

G. Gabay and J. Lions, Décisions stratégiquesstratégiques`stratégiquesà moindres regrets, C. R., Acad. Sci. Paris Ser I Math, vol.319, pp.1049-1056, 1994.

S. Itoh and S. A. Barber, A numerical solution of whole plant nutrient uptake for soil-root systems with root hairs, Plant and Soil, vol.71, issue.3, pp.403-413, 1983.
DOI : 10.1007/BF02374895

B. Jacob and A. Omrane, Optimal control for age-structured population dynamics of incomplete data, Journal of Mathematical Analysis and Applications, vol.370, issue.1, pp.42-48, 2010.
DOI : 10.1016/j.jmaa.2010.04.042

A. Kermarrec, Niveau actuel de la contamination des cha??nescha??nes biologiques en Guadeloupe : pesticides et métaux lourds, 1979.

J. Lions, Contrôle de Pareto de systèmes distribués. Le cas d'´ evolution, C. R., Acad. Sci. Paris Ser I Math, vol.302, pp.413-417, 1986.

J. Lions, Oeuvres choisies de Jacques-Louis Lions, volume II, contrôle, homogénéisation, SMAI, 2003.

O. Nakoulima, A. Omrane, and J. Velin, PerturbationàPerturbation`Perturbationà moindres regrets dans les systèmes distribuéesdistribuéesà données manquantes, C.R. Acad. Sci, 2000.

O. Nakoulima, A. Omrane, and J. Velin, No-regret control for nonlinear distributed systems with incomplete data, Journal de Math??matiques Pures et Appliqu??es, vol.81, issue.11, pp.1161-1189, 2002.
DOI : 10.1016/S0021-7824(02)01268-0

O. Nakoulima, A. Omrane, and J. Velin, On the pareto control and no-regret control for distributed systems with incomplete data, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00764259

N. E. Nielsen, A transport kinetic concept of ion uptake from soil by plants, Plant and Soil, vol.14, issue.3, pp.561-576, 1972.
DOI : 10.1007/BF01348515

P. H. Nye, The effect of the nutrient intensity and buffering power of a soil, and the absorbing power, size and root hairs of a root, on nutrient absorption by diffusion, Plant and Soil, vol.15, issue.1, pp.81-105, 1966.
DOI : 10.1007/BF01347964

P. H. Nye and F. H. Marriott, A theoretical study of the distribution of substances around roots resulting from simultaneous diffusion and mass flow, Plant and Soil, vol.11, issue.3, pp.459-472, 1969.
DOI : 10.1007/BF01881971

P. H. Nye and J. A. Spiers, Simulataneous diffusion and mass flow to plant roots, 8th Int, Congr. Soil Si., (Bucharest), issue.11, pp.535-542, 1964.

D. Picart and B. Ainseba, Parameter identification in multistage population dynamics model, Nonlinear Ananlysis : Real world Applications, pp.3315-3328, 2011.

T. Roose, A mathematical model of plant nutrient uptake, Journal of Mathematical Biology, vol.42, issue.4, 2000.
DOI : 10.1007/s002850000075

T. Roose, A. C. Fowler, and P. R. Darrah, A mathematical model of plant nutrient uptake, Journal of Mathematical Biology, vol.42, issue.4, pp.347-360, 2001.
DOI : 10.1007/s002850000075

T. Roose and G. J. Kirk, The solution of convection???diffusion equations for solute transport to plant roots, Plant and Soil, vol.7, issue.1-2, pp.316-257, 2009.
DOI : 10.1007/s11104-008-9777-z

J. Snegaroff, les résidus d'insecticides organochlorés dans les sols et lesrivì erse de la régionsbananì ere de la Guadeloupe, Phytiatrie- Phytopharmacie, vol.26, pp.251-268, 1977.

W. D. Stein, The Movement of Molecules across Cell Membrances, p.369, 1967.

L. Tartar, An Introduction to Navier-Stokes Equations and Oceanography, 2006.