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Title: Some limit theorems in a two-sex branching model Authors:  Alfonso Ramos - University of Extremadura (Spain) [presenting]
Manuel Molina - University of Extremadura (Spain)
Manuel Mota - University of Extremadura (Spain)
Abstract: Branching models are considered appropriate mathematical tools to describe the probabilistic evolution of dynamical systems whose components after certain life period reproduce and die, in such a way that transition from one to other state of the system is made according to a certain probability distribution. We mathematically model the demographic dynamics of biological populations with sexual reproduction where mating and reproduction can be influenced by the current number of couples in the population. We study some limit theorems in the class of two-sex models where the mating and the reproduction are affected by the number of females and males in the population.