Two-sex branching processes with offspring distribution in a random environment

M. Molina Fernández, M. Mota Medina, A. Ramos Cantariño

We focus the interest on the development of stochastic models to describe the demographic dynamics of biological populations where mating and reproduction can be affected by the number of couples in the population. Mathematical models to describe the probabilistic evolution of such populations have not been sufficiently investigated. In an attempt to contribute some solution to this issue, we have introduced a class of two-sex models where reproduction occurs in a non-predictable environment. In each generation, the number of progenitor couples is randomly determined and they reproduce according to a probability law which changes depending on the number of progenitor couples. We continue the research about such a class of models. We present results about its application to the phenomena concerning to inhabit or re-inhabit environments with biological species.

Research supported by the Junta de Extremadura (GR15105) and the Ministerio de Economía y Competitividad (MTM2015-70522-P).

Palabras clave: Stochastic modeling, Branching processes, Two-sex processes, Processes in a random environment, Dynamic of population.

L08.5 Procesos Estocásticos II
5 de septiembre de 2016  15:40
Aula 21.06

A. García Nogales

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