Abstract

In order to mathematically model the demographic dynamics of biological populations with sexual reproduction, we consider the more realistic situation where the reproductive process occurs in a non-predictable environment. We also assume that both biological processes, mating and reproduction, are influenced by the number of couples in the population. In this framework, a class of discrete-time two-sex branching models has been introduced in (A class of two-sex branching processes with reproduction phase in a random environment. Stochastics 88:147–161) [10]. In this work, we continue the research about such a class of stochastic models, investigating the time to extinction and some applications.

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