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math.AP2021
Spreading properties for SIR models on homogeneous trees
Christophe Besse, Grégory Faye
We consider an epidemic model of SIR type set on a homogeneous tree and investigate the spreading properties of the epidemic as a function of the degree of the tree, the intrinsic…
math.AP2021
Asymptotic spreading for Fisher-KPP reaction-diffusion equations with heterogeneous shifting diffusivity
Grégory Faye, Thomas Giletti, Matt Holzer
We determine the asymptotic spreading speed of the solutions of a Fisher-KPP reaction-diffusion equation, starting from compactly supported initial data, when the diffusion coeffic…
math.AP2021
Sharp stability for finite difference approximations of hyperbolic equations with boundary conditions
Jean-François Coulombel, Grégory Faye
In this article, we consider a class of finite rank perturbations of Toeplitz operators that have simple eigenvalues on the unit circle. Under a suitable assumption on the behavior…