9 January 2023, 4:00 p.m. to 4:45 p.m.
Seminar of Biomathematics
Title: Modeling and analysis of complex epidemic events using hybrid dynamical systems
Speaker: Guillaume Cantin (Département Informatique, UMR_6004 Laboratoire des Sciences du Numérique de Nantes, Nantes Université)
In this talk, I will present recent works realized in collaboration with Cristiana J. Silva on the modeling and analysis of complex epidemic events.
In the first part, I will show how to model the spatial spreading of an epidemic in a heterogeneous geographical
The influence of the topology of the underlying network on the dynamics of the epidemic will be illustrated with a theoretical approach for small networks, and with a computational approach for large networks.
In the second part, I will present a novel approach for studying the impacts of human behaviors on the spreading of an epidemic, using hybrid dynamical systems coupling a macroscopic approach relying on differential equations with a microscopic individual-based approach.
Theoretical results on the well-posedness of such hybrid models and on the existence of particular solutions exhibiting irregular oscillations will be exposed.