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Quasi-limiting behaviour of the sub-critical Multitype Bisexual Galton-Watson Branching Process (2406.19559v2)
Published 27 Jun 2024 in math.PR
Abstract: We investigate the quasi-limiting behaviour of bisexual subcritical Galton-Watson branching processes. While classical subcritical Galton-Watson processes have been extensively analyzed, bisexual Galton-Watson branching processes present unique difficulties because of the lack of the branching property. To prove the existence of and convergence to one or several quasi-stationary distributions, we leverage on recent developments linking bisexual Galton-Watson branching processes extinction to the eigenvalue of a concave operator.