Rate distributions and survival of the fittest: a formulation on the space of measures, Discrete Contin. Dyn. Syst. Ser. B, vol.5, issue.4, pp.917-928, 2005. ,
Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations, 1997. ,
DOI : 10.1007/978-0-8176-4755-1
Solutions de viscosité deséquationsdeséquations de Hamilton-Jacobi, 1994. ,
Wavefront propagation for reaction-diffusion systems of PDE, Duke Mathematical Journal, vol.61, issue.3, pp.835-858, 1990. ,
DOI : 10.1215/S0012-7094-90-06132-0
Concentration in Lotka-Volterra Parabolic or Integral Equations: A General Convergence Result, Methods and Applications of Analysis, vol.16, issue.3, pp.321-340, 2009. ,
DOI : 10.4310/MAA.2009.v16.n3.a4
URL : https://hal.archives-ouvertes.fr/hal-00391982
Concentrations and constrained Hamilton-Jacobi equations arising in adaptive dynamics, Contemporary Mathematics, vol.439, p.57, 2007. ,
DOI : 10.1090/conm/439/08463
Dirac concentrations in Lotka-Volterra parabolic PDEs, Indiana Univ. Math J, vol.57, issue.7, pp.3275-3301, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00168404
Ginzburg-Landau vortices, Progress in Nonlinear Differential Equations and Their Applications. Birkhäuser Boston, 1994. ,
DOI : 10.1007/978-1-4612-0287-5
URL : https://hal.archives-ouvertes.fr/hal-00199864
A hamilton-jacobi limit for a model of population stuctured by space and trait, Comm. Math. Sci, vol.136, pp.1431-1452, 2015. ,
Functional Analysis, Sobolev Spaces and Partial Differential Equations, 2010. ,
DOI : 10.1007/978-0-387-70914-7
Nonlinear parabolic equations involving measures as initial conditions, J. Math. Pures App, vol.62, issue.91, pp.73-97, 1983. ,
Fast Global Oscillations in Networks of Integrate-and-Fire Neurons with Low Firing Rates, Neural Computation, vol.15, issue.7, pp.1621-1671, 1999. ,
DOI : 10.1038/373612a0
Adaptive dynamics via Hamilton???Jacobi approach and entropy methods for a juvenile-adult model, Mathematical Biosciences, vol.205, issue.1, pp.137-161, 2007. ,
DOI : 10.1016/j.mbs.2006.09.012
Mathematical study of stochastic models of evolution belonging to the ecological theory of adaptive dynamics, 2004. ,
URL : https://hal.archives-ouvertes.fr/tel-00091929
The Canonical Equation of Adaptive Dynamics: A Mathematical View, Selection, vol.2, issue.1-2, pp.73-83, 2002. ,
DOI : 10.1556/Select.2.2001.1-2.6
URL : https://hal.archives-ouvertes.fr/inria-00164767
Unifying evolutionary dynamics: From individual stochastic processes to macroscopic models, Theoretical Population Biology, vol.69, issue.3, pp.297-321, 2006. ,
DOI : 10.1016/j.tpb.2005.10.004
URL : https://hal.archives-ouvertes.fr/inria-00164784
Individual-Based Probabilistic Models of Adaptive Evolution and Various Scaling Approximations, 2008. ,
DOI : 10.1007/978-3-7643-8458-6_6
URL : https://hal.archives-ouvertes.fr/hal-00011146
The evolutionary limit for models of populations interacting competitively via several resources, Journal of Differential Equations, vol.251, issue.1, pp.176-195, 2011. ,
DOI : 10.1016/j.jde.2011.03.007
URL : https://hal.archives-ouvertes.fr/inria-00488979
Convergence to equilibrium in competitive Lotka-Volterra equations and chemostat systems, C. R. Acad. Sci. Paris Sér. I Math, vol.348, pp.23-24, 2010. ,
user's guide to viscosity solutions\\ of second order\\ partial
differential equations, Bulletin of the American Mathematical Society, vol.27, issue.1, pp.1-67, 1992. ,
DOI : 10.1090/S0273-0979-1992-00266-5
On selection dynamics for continuous structured populations, Communications in Mathematical Sciences, vol.6, issue.3, pp.729-747, 2008. ,
DOI : 10.4310/CMS.2008.v6.n3.a10
URL : https://hal.archives-ouvertes.fr/hal-00363138
The dynamical theory of coevolution: a derivation from stochastic ecological processes, Journal of Mathematical Biology, vol.39, issue.5-6, pp.5-6579, 1996. ,
DOI : 10.1007/BF02409751
A beginner's guide to adaptive dynamics, Mathematical Modelling of Population Dynamics, pp.47-86, 2004. ,
DOI : 10.4064/bc63-0-2
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
Partial differential equations, Graduate Studies in Mathematics, vol.19, 1998. ,
Evolutionarily singular strategies and the adaptive growth and branching of the evolutionary tree, Evolutionary Ecology, vol.34, issue.1, pp.35-57, 1998. ,
DOI : 10.1023/A:1006554906681
Evolutionary games and population dynamics, 1998. ,
DOI : 10.1017/CBO9781139173179
Evolutionary game dynamics, Bulletin of the American Mathematical Society, vol.40, issue.04, pp.479-519, 2003. ,
DOI : 10.1090/S0273-0979-03-00988-1
Functional Integration and Partial Differential Equations. Number 109, 1985. ,
Limit theorems for large deviations and reaction-diffusion equations. The Annals of Probability, pp.639-675, 1985. ,
Dirac Mass Dynamics in Multidimensional Nonlocal Parabolic Equations, Communications in Partial Differential Equations, vol.69, issue.6, pp.1071-1098, 2011. ,
DOI : 10.1051/mmnp:2008029
Long-term behaviour of phenotypically structured models, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.11, issue.7, p.20140089, 2014. ,
DOI : 10.1162/089976699300016179
Link between Population Dynamics and Dynamics of Darwinian Evolution, Physical Review Letters, vol.95, issue.7, p.95078105, 2005. ,
DOI : 10.1103/PhysRevLett.95.078105
Phénomènes de concentration dans certaines EDPs issues de la biologie, 2011. ,
Adaptation and migration of a population between patches. Discrete and Continuous Dynamical System -B (DCDS-B), pp.753-768, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00684974
Asymptotic analysis of a selection model with space, Journal de Math??matiques Pures et Appliqu??es, vol.104, issue.6 ,
DOI : 10.1016/j.matpur.2015.07.006
URL : https://hal.archives-ouvertes.fr/hal-01030762
Population formulation of adaptative meso-evolution: theory and dynamics, The Mathematics of Darwin's Legacy, Mathematics and Biosciences in Interaction, 2011. ,
Uniqueness in a class of Hamilton???Jacobi equations with constraints, Comptes Rendus Mathematique, vol.353, issue.6, 2015. ,
DOI : 10.1016/j.crma.2015.03.005
URL : https://hal.archives-ouvertes.fr/hal-01116483
Transport equations in biology, Frontiers in Mathematics. Birkhäuser Verlag, 2007. ,
The theory of the chemostat: dynamics of microbial competition, 1994. ,
DOI : 10.1017/CBO9780511530043
Evolution and the Theory of Games, 1982. ,
DOI : 10.1017/CBO9780511806292