C. D. De-gooijer, W. A. Bakker, H. H. Beeftink, and J. Tramper, Bioreactors in series: An overview of design procedures and practical applications, Enzyme and Microbial Technology, vol.18, issue.3, pp.202-219, 1996.
DOI : 10.1016/0141-0229(95)00090-9

C. D. De-gooijer, H. H. Beeftink, and J. Tramper, Optimum design of a series of continuous stirred tank reactors containing immobilised growing cells, Biotechnology Letters, vol.38, issue.4, pp.397-402, 1996.
DOI : 10.1007/BF00143459

P. Doran, Design of Mixing Systems for Plant Cell Suspensions in Stirred Reactors, Biotechnology Progress, vol.15, issue.3, pp.319-335, 1999.
DOI : 10.1021/bp990042v

A. K. Dramé, J. Harmand, A. Rapaport, and C. Lobry, Multiple steady state profiles in interconnected biological systems, Mathematical and Computer Modelling of Dynamical Systems, vol.75, issue.5, pp.379-382, 2006.
DOI : 10.1080/13873950600723277

A. K. Dramé, C. Lobry, J. Harmand, A. Rapaport, and F. Mazenc, Multiple stable equilibrium profiles in tubular bioreactors, Mathematical and Computer Modelling, vol.48, issue.11-12, pp.11-12, 2008.
DOI : 10.1016/j.mcm.2008.05.008

A. Grobicki and D. C. Stuckey, Hydrodynamic characteristics of the anaerobic baffled reactor, Water Research, vol.26, issue.3, pp.371-378, 1992.
DOI : 10.1016/0043-1354(92)90034-2

L. G. Grady, H. Daigger, and . Lim, Biological Wastewater Treatment, 3nd Edition, Environmental Science and Pollution Control Series, 1999.

D. Gravel, F. Guichard, M. Loreau, and N. Mouquet, Source and sink dynamics in meta-ecosystems, Ecology, vol.11, issue.7, pp.2172-2184, 2010.
DOI : 10.1007/s00442-005-0219-9

J. Harmand, A. Rapaport, and A. Trofino, Optimal design of interconnected bioreactors: New results, AIChE Journal, vol.70, issue.6, pp.1433-1450, 2003.
DOI : 10.1002/aic.690490609

J. Harmand, A. Rapaport, and A. Dramé, Optimal design of two interconnected enzymatic bioreactors, Journal of Process Control, vol.14, issue.7, pp.785-794, 2004.
DOI : 10.1016/j.jprocont.2003.12.003

J. Harmand and D. Dochain, The optimal design of two interconnected (bio)chemical reactors revisited, Computers & Chemical Engineering, vol.30, issue.1, pp.70-82, 2005.
DOI : 10.1016/j.compchemeng.2005.08.003

G. A. Hill and C. W. Robinson, Minimum tank volumes for CFST bioreactors in series, The Canadian Journal of Chemical Engineering, vol.52, issue.5, pp.818-824, 1989.
DOI : 10.1002/cjce.5450670513

O. Levenspiel, Chemical Reaction Engineering, Industrial & Engineering Chemistry Research, vol.38, issue.11, 1999.
DOI : 10.1021/ie990488g

R. Lovitt and J. Wimpenny, The Gradostat: a Bidirectional Compound Chemostat and its Application in Microbiological Research, Microbiology, vol.127, issue.2, pp.261-268, 1981.
DOI : 10.1099/00221287-127-2-261

K. Luyben and J. Tramper, Optimal design for continuous stirred tank reactors in series using Michaelis-Menten kinetics, Biotechnology and Bioengineering, vol.44, issue.5, pp.1217-1220, 1982.
DOI : 10.1002/bit.260240518

R. H. Macarthur and E. Wilson, The Theory of Island Biogeography, 1967.
DOI : 10.1515/9781400881376

M. Mischaikow, H. Smith, and H. Thieme, Asymptotically autonomous semiflows: chain recurrence and Lyapunov functions, Transactions of the American Mathematical Society, vol.347, issue.5, pp.1669-1685, 1995.
DOI : 10.1090/S0002-9947-1995-1290727-7

J. Monod, LA TECHNIQUE DE CULTURE CONTINUE TH??ORIE ET APPLICATIONS, Annales de l'Institut Pasteur, vol.79, pp.390-410, 1950.
DOI : 10.1016/B978-0-12-460482-7.50023-3

S. Nakaoka and Y. Takeuchi, Competition in chemostat-type equations with two habitats, Mathematical Biosciences, vol.201, issue.1-2, pp.157-171, 2006.
DOI : 10.1016/j.mbs.2005.12.011

M. I. Nelson and H. S. Sidhu, Evaluating the performance of a cascade of two bioreactors, Chemical Engineering Science, vol.61, issue.10, pp.3159-3166, 2006.
DOI : 10.1016/j.ces.2005.12.007

A. Novick and L. , Description of the Chemostat, Science, vol.112, issue.2920, pp.715-716, 1950.
DOI : 10.1126/science.112.2920.715

A. Rapaport, J. Harmand, and F. Mazenc, Coexistence in the design of a series of two chemostats, Nonlinear Analysis: Real World Applications, vol.9, issue.3, pp.1052-1067, 2008.
DOI : 10.1016/j.nonrwa.2007.02.003
URL : https://hal.archives-ouvertes.fr/hal-00857811

E. Roca, C. Ghommidh, J. M. Navarro, and J. M. Lema, Hydraulic model of a gas-lift bioreactor with flocculating yeast, Bioprocess Engineering, vol.13, issue.5, pp.269-272, 1995.
DOI : 10.1007/BF00369501

G. Roux, B. Dahhou, and I. Queinnec, Adaptive non-linear control of a continuous stirred tank bioreactor, Journal of Process Control, vol.4, issue.3, pp.121-126, 1994.
DOI : 10.1016/0959-1524(94)85003-8

A. Saddoud, T. Sari, A. Rapaport, R. Lortie, J. Harmand et al., A mathematical study of an enzymatic hydrolysis of a cellulosic substrate in non homogeneous reactors, Proceedings of the IFAC Computer Applications in Biotechnology Conference, 2009.

A. Scheel, V. Vleck, and E. , Lattice differential equations embedded into reaction???diffusion systems, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.139, issue.01, pp.193-207, 2009.
DOI : 10.1017/S0308210507000248

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

G. Stephanopoulos and A. G. Fredrickson, Effect of spatial inhomogeneities on the coexistence of competing microbial populations, Biotechnology and Bioengineering, vol.16, issue.8, pp.1491-1498, 1979.
DOI : 10.1002/bit.260210817

F. Valdes-parada, J. Alvarez-ramirez, and A. Ochoa-tapia, An Approximate Solution for a Transient Two-Phase Stirred Tank Bioreactor with Nonlinear Kinetics, Biotechnology Progress, vol.21, issue.5, pp.1420-1428, 2005.
DOI : 10.1021/bp050110f

K. Van-'t-riet and J. Tramper, Basic bioreactor design, 1991.