We introduce a class of bisexual branching processes where a control is achieved on the number of couples and the mating depends on the number of progenitor couples. We establish several probabilistic properties and some results about its extinction probability.

In this paper, the multitype population size-dependent branching process with dependent offspring is introduced and the probability of extinction of such a process is investigated. Sufficient conditions for both almost sure extinction and survival of the process are shown to depend on the...

In a two-sex branching model, progenitor couples are affected by random factors. The probability and the time to extinction are expressed and simulated.