Title: Dynamics of a species under climate change : PDE and stochastic models
- Người viết: Lê Thiện Đạt lúc
- Tin tức
Speaker: Prof. Raoul Gaël
Centre de Mathematiques Appliquees, Ecole Polytechnique, France
Homepage: http://www.cmap.polytechnique.fr/~raoul/
Time:
9h-10h morning, on Friday, 17/06/2022
Location:
Room F207, University of Science, Address: 227 Nguyễn Văn Cừ, phường 4, quận 5, HCM.
Abstract:
Natural populations live in a heterogeneous environment and tend to adapt their phenotypes to their local environment. To describe the dynamics of such populations, we need to describe both the spatial and phenotypic structure of the population. We obtain then a non-local parabolic equation of Fisher-KPP type. We describe the dynamics of solutions (travelling waves), and discuss the impact of the parameters. Real environments are highly heterogeneous and the PDE models quickly show their limits: for large spatial scales, these models introduce artefacts and it is necessary to connect them to stochastic Individual-Based Models to describe accurately the effect of complex environments. We use this connection to derive a simple model for the dynamics of a population's range that could be used to build useful numerical prediction tools for biologists.
