@article{champagnat:hal-01974289, TITLE = {{Stochastic analysis of emergence of evolutionary cyclic behavior in population dynamics with transfer}}, AUTHOR = {Champagnat, Nicolas and M{\'e}l{\'e}ard, Sylvie and Tran, Viet Chi}, URL = {https://hal.inria.fr/hal-01974289}, JOURNAL = {{Annals of Applied Probability}}, PUBLISHER = {{Institute of Mathematical Statistics (IMS)}}, VOLUME = {31}, NUMBER = {4}, PAGES = {1820-1867}, YEAR = {2021}, DOI = {10.1214/20-AAP1635}, KEYWORDS = {stochastic individual-based models ; bacterial conjugation ; long time behavior ; large population approximation ; logistic competition ; branching processes with immigration ; horizontal gene transfer ; coupling}, PDF = {https://hal.inria.fr/hal-01974289v3/file/Transfert-oaxaca-02-10-2020.pdf}, HAL_ID = {hal-01974289}, HAL_VERSION = {v3}, }