R. Armstrong and R. Mcgehee, Competitive Exclusion, The American Naturalist, vol.115, issue.2, p.151, 1980.
DOI : 10.1086/283553

H. Smith and P. Waltman, The theory of the chemostat. Dynamics of microbial competition, Cambridge Studies in Mathematical Biology, 1995.

S. Hsu and T. Hsu, Competitive Exclusion of Microbial Species for a Single Nutrient with Internal Storage, SIAM Journal on Applied Mathematics, vol.68, issue.6, pp.1600-1617, 2008.
DOI : 10.1137/070700784

D. Tilman and R. Sterner, Invasions of equilibria: tests of resource competition using two species of algae, Oecologia, vol.13, issue.2, pp.197-200, 1984.
DOI : 10.1007/BF00396760

S. Hansen and S. Hubell, Single-nutrient microbial competition: qualitative agreement between experimental and theoretically forecast outcomes, Science, vol.207, issue.4438, pp.1491-1493, 1980.
DOI : 10.1126/science.6767274

D. Tilman, Resource Competition between Plankton Algae: An Experimental and Theoretical Approach, Ecology, vol.58, issue.2, pp.338-348, 1977.
DOI : 10.2307/1935608

F. Grognard, F. Mazenc, and A. Rapaport, Polytopic Lyapunov functions for the stability analysis of persistence of competing species, Proceedings of the 44th IEEE Conference on Decision and Control, pp.73-93, 2007.
DOI : 10.1109/CDC.2005.1582737
URL : https://hal.archives-ouvertes.fr/hal-00999811

O. Pulz and W. Gross, Valuable products from biotechnology of microalgae, Applied Microbiology and Biotechnology, vol.292, issue.6, pp.635-648, 1007.
DOI : 10.1007/s00253-004-1647-x

P. Spolaore, C. Joannis-cassan, E. Duran, and A. Isambert, Commercial applications of microalgae, Journal of Bioscience and Bioengineering, vol.101, issue.2, pp.87-96, 2006.
DOI : 10.1263/jbb.101.87
URL : https://hal.archives-ouvertes.fr/hal-00133263

Y. Chisti, Biodiesel from microalgae, Biotechnology Advances, vol.25, issue.3, pp.294-306, 2007.
DOI : 10.1016/j.biotechadv.2007.02.001

G. E. Hutchinson, The Paradox of the Plankton, The American Naturalist, vol.95, issue.882, p.137, 1961.
DOI : 10.1086/282171

M. Droop, Vitamin B12 and Marine Ecology. IV. The Kinetics of Uptake, Growth and Inhibition in Monochrysis Lutheri, Journal of the Marine Biological Association of the United Kingdom, vol.33, issue.03, pp.689-733, 1968.
DOI : 10.1038/191868a0

A. Sciandra and P. Ramani, The steady states of continuous cultures with low rates of medium renewal per cell, Journal of Experimental Marine Biology and Ecology, vol.178, issue.1, pp.1-15, 1994.
DOI : 10.1016/0022-0981(94)90221-6

I. Vatcheva, H. Dejong, O. Bernard, and N. Mars, Experiment selection for the discrimination of semi-quantitative models of dynamical systems, Artificial Intelligence, vol.170, issue.4-5, pp.472-506, 2006.
DOI : 10.1016/j.artint.2005.11.001
URL : https://hal.archives-ouvertes.fr/inria-00071639

G. Hardin, The Competitive Exclusion Principle, Science, vol.131, issue.3409, pp.1292-1297, 1960.
DOI : 10.1126/science.131.3409.1292

C. , E. Sidgwick, &. Jackson, and L. London, Animal Ecology, 1927.

C. Darwin, On the Origin of Species by Means of Natural Selection, or the Preservation of Favoured Races in the Struggle for Life, 1859.

M. Scriven, Explanation and Prediction in Evolutionary Theory: Satisfactory explanation of the past is possible even when prediction of the future is impossible, Science, vol.130, issue.3374, pp.477-482, 1959.
DOI : 10.1126/science.130.3374.477

C. Jessup, S. Forde, and B. Bohannan, Microbial Experimental Systems in Ecology, Advances in Ecological Research, vol.37, pp.273-306, 2005.
DOI : 10.1016/S0065-2504(04)37009-1

G. Gause, The Struggle for Existence, Soil Science, vol.41, issue.2, 1934.
DOI : 10.1097/00010694-193602000-00018

J. Monod, Reserches sur la croissance des cultures bacteriennes, 1942.

J. Caperon and J. Meyer, Nitrogen-limited growth of marine phytoplankton???I. changes in population characteristics with steady-state growth rate, Deep Sea Research and Oceanographic Abstracts, vol.19, issue.9, pp.601-618, 1972.
DOI : 10.1016/0011-7471(72)90089-7

K. Lange and F. J. Oyarzun, The attractiveness of the droop equations, Mathematical Biosciences, vol.111, issue.2, pp.261-278, 1992.
DOI : 10.1016/0025-5564(92)90074-7

F. J. Oyarzun and K. Lange, The attractiveness of the droop equations II. generic uptake and growth functions, Mathematical Biosciences, vol.121, issue.2, pp.127-139, 1994.
DOI : 10.1016/0025-5564(94)90067-1

O. Bernard and J. Gouzé, Transient behavior of biological loop models with application to the Droop model, Mathematical Biosciences, vol.127, issue.1, pp.19-43, 1995.
DOI : 10.1016/0025-5564(94)00040-7

D. Contois, Kinetics of Bacterial Growth: Relationship between Population Density and Specific Growth Rate of Continuous Cultures, Journal of General Microbiology, vol.21, issue.1, pp.40-50, 1959.
DOI : 10.1099/00221287-21-1-40

J. Leon and D. Tumpson, Competition between two species for two complementary or substitutable resources, Journal of Theoretical Biology, vol.50, issue.1, pp.185-201, 1975.
DOI : 10.1016/0022-5193(75)90032-6

S. Hsu, K. Cheng, and S. Hubbel, Exploitative Competition of Microorganisms for Two Complementary Nutrients in Continuous Cultures, SIAM Journal on Applied Mathematics, vol.41, issue.3, pp.422-444, 1981.
DOI : 10.1137/0141036

H. Freedman, J. So, and P. Waltman, Coexistence in a Model of Competition in the Chemostat Incorporating Discrete Delays, SIAM Journal on Applied Mathematics, vol.49, issue.3, pp.859-870, 1989.
DOI : 10.1137/0149050

P. De-leenheer and H. Smith, Feedback control for chemostat models, Journal of Mathematical Biology, vol.46, issue.1, pp.48-70, 2003.
DOI : 10.1007/s00285-002-0170-x

P. De-leenheer, D. Angeli, and A. Sontag, A Feedback Perspective for Chemostat Models with Crowding Effects, Positive Systems, pp.167-174, 2003.
DOI : 10.1007/978-3-540-44928-7_23

J. Arino, S. Pilyugin, and G. Wolkowicz, Considerations on yield, nutrient uptake, cellular growth, and competition in chemostat models, Canadian Applied Math Quarterly, vol.11, pp.107-142, 2003.

J. B. Wilson, Mechanisms of species coexistence: twelve explanations for the hutchinson's 'paradox of the phytoplankton': evidence from new zealand plant communities, New Zealand journal of Ecology, vol.137, pp.17-42, 1990.

A. Fredrickson and G. Stephanopoulos, Microbial competition, Science, vol.213, issue.4511, pp.972-979, 1981.
DOI : 10.1126/science.7268409

J. Gouzé and G. Robledo, Feedback control for nonmonotone competition models in the chemostat, Nonlinear Analysis: Real World Applications, vol.6, issue.4, pp.671-690, 2005.
DOI : 10.1016/j.nonrwa.2004.12.003

P. De-leenheer, B. Li, and H. Smith, Competition in the chemostat : some remarks, Canadian applied mathematics quarterly, vol.11, issue.2, pp.229-247, 2003.

N. Rao and E. Roxin, Controled growth of competing species, Journal on Applied Mathematics, vol.50, issue.3, pp.853-864, 1990.

P. Masci, O. Bernard, and F. Grognard, Continuous Selection of the Fastest Growing Species in the Chemostat, Proceedings of the IFAC conference, 2008.
DOI : 10.3182/20080706-5-KR-1001.01642
URL : https://hal.archives-ouvertes.fr/hal-01091821

H. R. Thieme, Convergence results and a Poicaré-Bendixson trichotomy for asymptotically autonomous differential equations, Journal of Mathematical Biology, vol.30, pp.755-763, 1992.
DOI : 10.1007/bf00173267

O. Diekmann, A beginner's guide to adaptive dynamics, Mathematical Modelling of Population Dynamics, pp.47-86, 2003.
DOI : 10.4064/bc63-0-2