Text
Stochastic Models for Structured Populations
This course concerns the stochastic modeling of population dynamics. In the first
part, we focus on monotype populations described by one-dimensional stochastic
differential equations with jumps. We consider their scaling limits for large populations and study the long time behavior of the limiting processes. It is achieved,
thanks to martingale properties, Poisson measure representations, and stochastic
calculus. These tools and results will be used and extended to measure-valued
processes in the second part. The latter is dedicated to structured populations, where
individuals are characterized by a trait belonging to a continuum.
No copy data
No other version available