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.
MathBio Seminar
Tuesday, November 8, 2022 - 10:00am
Grégory Faye
Institut de Mathématiques de Toulouse
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Wall-crossing, quivers, and strange duality on the projective plane
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Convergence of densities of spatial averages of the stochastic heat equation
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