Some Probabilistic Results in a Bisexual Branching Process with Immigration

2000 Mathematics Subject Classification: 60J80.

A bisexual branching process with immigration of females and males is introduced. It is allowed, in each generation, that the mating function and the probability distributions associated to the offspring and the immigration may change depending on the number of progenitor couples. Relationships among the probability generating functions involved in the model and some transition and stochastic monotony properties are established.

This research has been supported by the Ministerio de Ciencia y Tecnologia and the FEDER through the Plan Nacional de Investigacion Cientifica, Desarrollo e Innovaci on Tecnologica, grant BFM2003-06074.