N. Champagnat and S. Méléard, Polymorphic evolution sequence and evolutionary branching, Probability Theory and Related Fields, vol.8, issue.3, 2010.
DOI : 10.1007/s00440-010-0292-9
URL : https://hal.archives-ouvertes.fr/inria-00345399

N. Champagnat and P. E. Jabin, The evolutionary limit for models of populations interacting competitively with many resources, 2010.

O. Diekmann, A beginner's guide to adaptive dynamics, Mathematical Modelling of Population Dynamics, pp.47-86, 2004.
DOI : 10.4064/bc63-0-2

O. Diekmann, P. E. Jabin, S. Mischler, and B. Perthame, The dynamics of adaptation: An illuminating example and a Hamilton???Jacobi approach, Theoretical Population Biology, vol.67, issue.4, pp.257-271, 2005.
DOI : 10.1016/j.tpb.2004.12.003

K. Gopalsamy, Global asymptotic stability in Volterra's population systems, Journal Of Mathematical Biology, vol.147, issue.2, pp.157-168, 1984.
DOI : 10.1007/BF00277744

M. W. Hirsch, Systems of differential equations which are competitive or cooperative: III. Competing species, Nonlinearity, vol.1, issue.1, pp.51-71, 1988.
DOI : 10.1088/0951-7715/1/1/003

S. Hofbauer, Evolutionary Games and Population Dynamics, 1998.
DOI : 10.1017/CBO9781139173179

P. E. Jabin and G. , Selection dynamics with competition, to appear in, J. Math. Biol

K. Krisztina and S. , Kovács Qualitative behavior of n-dimensional ratiodependent predator-prey systems, Appl. Math. Comput, vol.199, issue.2, pp.535-546, 2008.

J. A. Metz, S. A. Geritz, G. Meszéna, F. A. Jacobs, and J. S. Van-heerwaasden, Adaptive dynamics: a geometrical study of the consequences of nearly faithful reproduction, Stochastic and Spatial Structures of Dynamical Systems, pp.183-231, 1996.

H. L. Smith and P. Waltman, The Theory of the Chemostat, Dynamics of Microbial Competition. Cambridge studies in Mathematical Biology, vol.13, 1995.
DOI : 10.1017/CBO9780511530043

M. L. Zeeman, Hopf bifurcations in competitive three-dimensional Lotka???Volterra systems, Dynamics and Stability of Systems, vol.11, issue.3, pp.189-217, 1993.
DOI : 10.1007/BFb0087009