Abstract:
In the general setting of stochastic modeling, branching processes are appropriate mathematical models to describe the demographic dynamics of populations whose size evolves over time, due to random births and deaths. They are an active research area of theoretical and practical interest with applicability to such fields as biology, demography, epidemiology, genetics, population dynamics, and others. Branching processes have especially played a major role in modeling population dynamics. In particular, with the purpose to model the probabilistic evolution of populations with sexual reproduction where females and males coexist and form couples (female–male), several classes of two-sex branching processes have been studied. In this talk, we will revise the recent contributions to the two-sex branching process theory and we will consider some questions for research.
Biography:
Manuel Molina is a Professor in Probability and Statistics at the University of Extremadura (Spain). He received his Ph.D. in Mathematical Sciences from the University of Granada. He has published more than 100 works in journals and books, including more than 60 papers in journals indexed in the Web of Science – Journal Citation Reports such as Journal of Applied Probability, Journal of Mathematical Biology, Journal of Theoretical Biology, Bernoulli, Communications in Statistics, Statistics & Probability Letters, Mathematical Biosciences, Mathematical Population Studies, Methodology and Computing in Applied Probability, Stochastic Analysis and their Applications, Stochastic Processes and their Applications, or Test. He is on the editorial board of several journals. He has participated in various research projects, in the scientific committee of several international conferences and associations, and serves as a reviewer in a wide range of international journals. Currently, he is interested on stochastic processes, especially in branching processes and their applications.