H. Amann, Dynamic theory of quasilinear parabolic equations. I. Abstract evolution equations, Nonlinear Anal, pp.895-919, 1988.

K. Anguige and C. Schmeiser, A one-dimensional moel of cell diffusion and aggregation, incorporating volume filling and cell-to-cell adhesion, J. Math. Biol, 2009.

N. Boudiba and M. Pierre, Global Existence for Coupled Reaction???Diffusion Systems, Journal of Mathematical Analysis and Applications, vol.250, issue.1, pp.1-12, 2000.
DOI : 10.1006/jmaa.2000.6895

L. Chen and A. , Analysis of a parabolic cross-diffusion population model without self-diffusion, Journal of Differential Equations, vol.224, issue.1, pp.39-59, 2006.
DOI : 10.1016/j.jde.2005.08.002

P. Degond, S. Génieys, and A. , Symmetrization and entropy inequality for general diffusion equations, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.325, issue.9, pp.963-968, 1997.
DOI : 10.1016/S0764-4442(97)89087-8

L. Desvillettes, K. Fellner, M. Pierre, and J. Vovelle, Abstract, Advanced Nonlinear Studies, vol.7, issue.3, pp.491-511, 2007.
DOI : 10.1515/ans-2007-0309

L. C. Evans, A survey of entropy methods for partial differential equations, Bulletin of the American Mathematical Society, vol.41, issue.04, pp.41-409, 2004.
DOI : 10.1090/S0273-0979-04-01032-8

L. C. Evans and M. Portilheiro, IRREVERSIBILITY AND HYSTERESIS FOR A FORWARD???BACKWARD DIFFUSION EQUATION, Mathematical Models and Methods in Applied Sciences, vol.14, issue.11, pp.1599-1620, 2004.
DOI : 10.1142/S0218202504003763

L. Hadjadj, K. Hamdache, and H. D. , An existence result to a strongly coupled degenerated system arising in tumor modeling, Abstract and Applied Analysis, p.19, 2008.

M. Iida, M. Mimura, and H. Ninomiya, Diffusion, Cross-diffusion and Competitive Interaction, Journal of Mathematical Biology, vol.237, issue.4, pp.617-641, 2006.
DOI : 10.1007/s00285-006-0013-2

H. Izuhara and M. Mimura, Reaction-diffusion system approximation to the cross-diffusion competition system, Hiroshima Math, J, vol.38, pp.315-347, 2008.

S. Kawashima and Y. Shizuta, On the normal form of the symmetric hyperbolic-parabolic systems associated with the conservation laws, Tohoku Mathematical Journal, vol.40, issue.3, pp.40-449, 1988.
DOI : 10.2748/tmj/1178227986

. Lepoutre, Partial differential equations arising in biology

S. Levin and L. Segel, Hypothesis for origin of planktonic patchiness, Nature, vol.45, issue.5545, pp.259-659, 1976.
DOI : 10.1038/259659a0

S. A. Levin, A more functional response to predator-prey stability, The American Naturalist, pp.207-228, 1977.

Y. Li and C. Zhao, Global existence of solutions to a cross-diffusion system in higher dimensional domains, Discrete Contin, Dyn. Syst, vol.12, pp.185-192, 2005.

Y. Lou and S. Martinez, Evolution of cross-diffusion and self-diffusion, Preprint, pp.1-19, 2007.

Y. Lou and W. Ni, Diffusion, Self-Diffusion and Cross-Diffusion, Journal of Differential Equations, vol.131, issue.1, pp.79-131, 1996.
DOI : 10.1006/jdeq.1996.0157

A. Marrocco, Numerical simulation of chemotactic bacteria aggregation via mixed finite elements, ESAIM: Mathematical Modelling and Numerical Analysis, vol.37, issue.4, pp.617-630, 2003.
DOI : 10.1051/m2an:2003048

M. Mimura and K. Kawasaki, Spatial segregation in competitive interaction-diffusion equations, Journal of Mathematical Biology, vol.13, issue.1, pp.49-64, 1980.
DOI : 10.1007/BF00276035

M. Mimura and J. D. Murray, On a diffusive prey-predator model which exhibits patchiness, Journal of Theoretical Biology, vol.75, issue.3, pp.249-262, 1978.
DOI : 10.1016/0022-5193(78)90332-6

M. Mimura and M. Yamaguti, Pattern formation in interacting and diffusing systems in population biology, Advances in Biophysics, vol.15, pp.19-65, 1982.
DOI : 10.1016/0065-227X(82)90004-1

A. Novick-cohen and R. L. Pego, Stable patterns in a viscous diffusion equation, Transactions of the American Mathematical Society, vol.324, issue.1, pp.331-351, 1991.
DOI : 10.1090/S0002-9947-1991-1015926-7

A. Okubo, Diffusion and ecological problems: mathematical models An extended version of the Japanese edition, ?t Ecology and diffusion, Biomathematics, vol.10, 1980.

M. Pierre, Weak solutions and supersolutions in $ L^1 $ for reaction-diffusion systems, Journal of Evolution Equations, vol.3, issue.1, pp.153-168, 2003.
DOI : 10.1007/s000280300007

M. Pierre and D. Schmitt, Blowup in Reaction-Diffusion Systems with Dissipation of Mass, SIAM Review, vol.42, issue.1, pp.93-106, 2000.
DOI : 10.1137/S0036144599359735
URL : https://hal.archives-ouvertes.fr/inria-00074038

P. I. Plotnikov, Passage to the limit with respect to viscosity in an equation with a variable direction of parabolicity, Differentsialnye Uravneniya, vol.30, pp.665-674, 1994.

N. Shigesada, K. Kawasaki, and E. Teramoto, Spatial segregation of interacting species, Journal of Theoretical Biology, vol.79, issue.1, pp.83-99, 1979.
DOI : 10.1016/0022-5193(79)90258-3

A. M. Turing, The chemical basis of morphogenesis, Phil. Trans. Roy. Soc. B, vol.237, pp.83-99, 1952.

Y. Wang, The Global Existence of Solutions for a Cross-diffusion System, Acta Mathematicae Applicatae Sinica, English Series, vol.24, issue.3, pp.519-528, 2005.
DOI : 10.1007/s10255-005-0260-9