Birth and death processes with interactions, multitype branching processes, large population limits, mating preferences. The authors thank the CNRS for its financial support through its competitive funding programs on interdisciplinary research. This work was partially funded by the Chair "Modélisation Mathématique et Biodiversité" of VEOLIA-Ecole Polytechnique-MNHN-F.X. H.L. acknowledges support from CONACyT-MEXICO and the foundation Sofía Kovalevskaia of SMM. The authors are grateful to András Tóbiás and an anonymous referee for their careful reading of the paper and useful comments.
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