S. Billiard, P. Collet, R. Ferrière, S. Méléard, and V. C. Tran, The effect of competition and horizontal trait inheritance on invasion, fixation and polymorphism, Journal of Theoretical Biology, vol.411, pp.48-58, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01228437

S. Billiard, P. Collet, R. Ferrière, S. Méléard, and V. C. Tran, Stochastic dynamics for adaptation and evolution of microorganisms, Journal of the European Mathematical Society, pp.527-552, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01374179

A. Bovier, L. Coquille, and C. Smadi, Crossing a fitness valley as a metastable transition in a stochastic population model, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01692216

N. Champagnat, A microscopic interpretation for adaptative dynamics trait substitution sequence models, Stochastic Processes and their Applications, vol.116, pp.1127-1160, 2006.

N. Champagnat, P. Jabin, and S. Méléard, Adaptive dynamics in a stochastic multi-resources chemostat model, Journal de Mathématiques Pures et Appliquées, vol.101, issue.6, pp.755-788, 2014.

N. Champagnat and S. Méléard, Polymorphic evolution sequence and evolutionary branching. Probability Theory and Related Fields, vol.151, pp.45-94, 2011.
DOI : 10.1007/s00440-010-0292-9
URL : https://hal.archives-ouvertes.fr/inria-00345399

C. Dellacherie and P. Meyer, Probabilités et potentiel. Collection Enseignement des Sciences, 1975.

R. Durrett and J. Mayberry, Travelling waves of selective sweeps, Annals of Applied Probability, vol.21, issue.2, pp.699-744, 2011.

S. N. Ethier and T. G. Kurtz, Markov Processus, Characterization and Convergence, 1986.

R. F. Lopez, , 2014.

M. Getino, D. Sanabria-rios, R. Fernandez-lopez, J. Sanchez-lopez, A. Fernandez et al., Synthetic fatty acids prevent plasmid-mediated horizontal gene transfer, vol.6, pp.1032-1047, 2015.
DOI : 10.1128/mbio.01032-15
URL : https://mbio.asm.org/content/6/5/e01032-15.full.pdf

S. M. Ginty, L. Lehmann, S. Brown, and D. Rankin, The interplay between relatedness and horizontal gene transfer drives the evolution of plasmid-carried public goods, Proceedings R. Soc.B, vol.208, p.400, 2013.

P. Keeling and J. Palmer, Horizontal gene transfer in eukaryotic evolutio, Nat. Rev. Genet, vol.9, pp.605-618, 2008.

S. Méléard, Modèles aléatoires en Ecologie et Evolution, 2016.

H. Ochman, J. Lawrence, and E. Groisman, Lateral gene transfer and the nature of bacterial innovatio, Nature, vol.405, pp.299-304, 2000.

F. Stewart and B. Levin, The population biology of bacterial plasmids: a priori conditions for the existence of conjugationally transmitted factors, Genetics, vol.87, pp.209-228, 1977.