M. Molina Fernández, M. Mota Medina
In this talk we will focus on dynamical systems, especially in biology and natural sciences, with sexual reproduction in which females and males coexist, mate in female-male couples, reproduce and die. Different methodologies have been developed to describe the demographic dynamics of such systems. We will consider the methodology based on two-sex branching processes. First, we will provide a brief overview of some research lines, based on discrete-time two-sex branching processes, that we have been studying in recent years. Then, we will discuss some results related to our latest investigations on the class of two-sex branching processes with mating and reproduction in non-predictable environments. As an illustration, we will present some simulated studies contextualized in semelparous biological species.
Keywords: Mathematical modeling, dynamical systems, branching processes, two-sex processes, semelparous biological species.
Scheduled
Stochastic processes and their applications II
June 12, 2025 3:30 PM
Auditorio 2. Leandre Cristòfol