R. I. Amann, W. Ludwig, K. H. Schleifer, and K. , Phylogenetic identification and in situ detection of individual microbial cells without cultivation, Microbiol Rev, vol.59, issue.1, pp.143-169, 1995.

R. Aris and A. E. Humphrey, Dynamics of a chemostat in which two organisms compete for a common substrate, Biotechnology and Bioengineering, vol.17, issue.9, pp.1375-1386, 1977.
DOI : 10.1002/bit.260190910

R. Armstrong and R. Mcgehee, Competitive Exclusion, The American Naturalist, vol.115, issue.2, pp.151-170, 1980.
DOI : 10.1086/283553

G. J. Butler and G. S. Wolkowicz, A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake, SIAM Journal on Applied Mathematics, vol.45, issue.1, pp.138-151, 1985.
DOI : 10.1137/0145006

G. J. Butler, S. B. Hsu, and P. Waltman, A Mathematical Model of the Chemostat with Periodic Washout Rate, SIAM Journal on Applied Mathematics, vol.45, issue.3, pp.435-449, 1985.
DOI : 10.1137/0145025

C. Cenens, I. Y. Smets, and J. F. Van-impe, Modeling the competition between floc-forming and filamentous bacteria in activated sludge waste water treatment systems??????II. A prototype mathematical model based on kinetic selection and filamentous backbone theory, Water Research, vol.34, issue.9, pp.2535-2541, 2000.
DOI : 10.1016/S0043-1354(99)00422-4

T. P. Curtis and W. T. Sloan, Prokaryotic diversity and its limits: microbial community structure in nature and implications for microbial ecology, Current Opinion in Microbiology, vol.7, issue.3, pp.221-226, 2004.
DOI : 10.1016/j.mib.2004.04.010

G. Hardin, The Competitive Exclusion Principle, Science, vol.131, issue.3409, pp.1292-1298, 1960.
DOI : 10.1126/science.131.3409.1292

C. Lobry, F. Mazenc, and A. Rapaport, Persistence in ecological models of competition for a single resource, Comptes Rendus Mathematique, vol.340, issue.3, pp.199-240, 2004.
DOI : 10.1016/j.crma.2004.12.021
URL : https://hal.archives-ouvertes.fr/hal-01001120

C. Lobry, C. , and J. Harmand, A new hypothesis to explain the coexistence of n species in the presence of a single resource, Comptes Rendus Biologies, vol.329, issue.1, pp.40-46, 2006.
DOI : 10.1016/j.crvi.2005.10.004
URL : https://hal.archives-ouvertes.fr/hal-01001131

C. Lobry, F. Mazenc, and A. Rapaport, Sur un mod??le densit??-d??pendant de comp??tition pour une ressource, Comptes Rendus Biologies, vol.329, issue.2, pp.63-70, 2006.
DOI : 10.1016/j.crvi.2005.11.004

N. R. Pace, A Molecular View of Microbial Diversity and the Biosphere, Science, vol.276, issue.5313, pp.734-740, 1997.
DOI : 10.1126/science.276.5313.734

H. L. Smith, Competitive Coexistence in an Oscillating Chemostat, SIAM Journal on Applied Mathematics, vol.40, issue.3, pp.498-522, 1981.
DOI : 10.1137/0140042

H. Smith and P. Waltman, The Theory of the Chemostat: Dynamics of Microbial Competition, Cambridge Studies in Mathematical Biology, 1985.
DOI : 10.1017/CBO9780511530043

G. Stephanopoulos, R. Aris, and A. G. Frederickson, A stochastic analysis of the growth of competing microbial populations in a continuous biochemical reactor, Mathematical Biosciences, vol.45, issue.1-2, pp.99-135, 1979.
DOI : 10.1016/0025-5564(79)90098-1

E. Zumstein, R. Moletta, and J. J. Godon, Examination of two years of community dynamics in an anaerobic bioreactor using fluorescence polymerase chain reaction (PCR) single-strand conformation polymorphism analysis, Environmental Microbiology, vol.64, issue.1, p.69, 2000.
DOI : 10.1006/anae.1998.0176