11 citations · 11 across the 5 of their papers we have counts for
5 papers
Blocking of 2D bistable reaction-diffusion fronts by obstacles
J. -G. Caputo, G. Cruz-Pacheco, J. Gatlik +1
We investigate numerically the blocking of two-dimensional bistable reaction diffusion fronts by geometric obstacles. Our goal is to derive quantitative criteria for front propagat…
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…
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…
Spectra of chains connected to complete graphs
J. -G. Caputo, G. Cruz-Pacheco, A. Knippel +1
We characterize the spectrum of the Laplacian of graphs composed of one or two finite or infinite chains connected to a complete graph. We show the existence of localized eigenvect…
Bistable reaction-diffusion on a network
J. -G. Caputo, G. Cruz-Pacheco, P. Panayotaros
We study analytically and numerically a bistable reaction-diffusion equation on an arbitrary finite network. We prove that stable fixed points (multi-fronts) exist for any configur…