91 citations · 537 across the 37 of their papers we have counts for
39 papers
Mitigating an epidemic on a geographic network using vaccination
Mohamad Badaoui, Jean-Guy Caputo, Gustavo Cruz-Pacheco +1
We consider a mathematical model describing the propagation of an epidemic on a geographical network. The size of the outbreak is governed by the initial growth rate of the disease…
Localized eigenvectors on metric graphs
H. Kravitz, M. Brio, J. -G. Caputo
Using our previously published algorithm, we analyze the eigenvectors of the generalized Laplacian for two metric graphs occurring in practical applications. As expected, localizat…
Spectral solutions of PDEs on networks
M. Brio, J. -G. Caputo, H. Kravitz
To solve linear PDEs on metric graphs with standard coupling conditions (continuity and Kirchhoff's law), we develop and compare a spectral, a second-order finite difference, and a…
Analysis of trophic networks: an optimisation approach
Jean-Guy Caputo, Valerie Girardin, Arnaud Knippel +3
We introduce a methodology to study the possible matter flows of an ecosystem defined by observational biomass data and realistic biological constraints. The flows belong to a poly…
Stopping a reaction-diffusion front
Jean-Guy Caputo, Gustavo Cruz-Pacheco, Benoit Sarels
We revisit the problem of pinning a reaction-diffusion front by a defect, in particular by a reaction-free region. Using collective variables for the front and numerical simulation…
Breather stripes and radial breathers of the two-dimensional sine-Gordon equation
P. G. Kevrekidis, R. Carretero-González, J. Cuevas-Maraver +3
We revisit the problem of transverse instability of a 2D breather stripe of the sine-Gordon (sG) equation. A numerically computed Floquet spectrum of the stripe is compared to anal…