Bisexual Galton-Watson branching process with population-size-dependent mating

• DOI: 10.1239/jap/1034082121
• Publication Date: 2003-04-02T20:55:33Z
• Authors: M. Molina; M. Mota; A. Ramos
• Keywords: Branching process; Branching (polymer chemistry); Extinction probability

In this paper, we introduce a bisexual Galton-Watson branching process with mating function dependent on the population size in each generation. Necessary and sufficient conditions for to become extinct probability 1 are investigated two possible sequence of functions. Some results generating functions associated also given.