Resumen de Bisexual branching processes with offspring and mating depending on the number of couples in the population

Manuel Molina Fernández , Christine Jacob , Alfonso Ramos Cantariño

• In this work, we introduce a discrete-time bisexual branching process which considers both offspring and mating depending on the number of couples in the population at the previous generation. For such a model, we determine several probabilistic properties and provide some theoretical results concerning its limiting evolution. As an illustration, some simulated examples are given.