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MathBio Seminar

Tuesday, November 8, 2022 - 10:00am

Grégory Faye

Institut de Mathématiques de Toulouse


University of Pennsylvania

Online only via Zoom

* note special time 10am Join Zoom Meeting Meeting ID: 997 9233 2298 Passcode: 657898

In this talk, I will present some recent results regarding the modeling of epidemic spreading on graphs. I will mainly focus on the case of epidemic models set on (infinite) homogeneous trees and completely characterize the spreading properties of the model as a function of the degree of the tree, the intrinsic basic reproduction number and the diffusivity of the population of infected individuals. If time allows, I will also discuss a new class of epidemic models set on connected graphs which consist in PDE-ODE systems with Robin like boundary conditions. Some general properties of such systems will be described and a link with the first part of the talk will be formally explained. This is joint work with Christophe Besse.