3 papers
math.AP2019
On the Hilbert Method in the Kinetic Theory of Multicellular Systems: Hyperbolic Limits and Convergence Proof
Mohamed Khaladi, Nisrine Outada, Nicolas Vauchelet
We consider a system of two kinetic equations modelling a multicellular system : The first equation governs the dynamics of cells, whereas the second kinetic equation governs the d…
physics.soc-ph2019
Epidemic model on a network: analysis and applications to COVID-19
F. Bustamante-Castaneda, J. -G. Caputo, G. Cruz-Pacheco +2
We analyze an epidemic model on a network consisting of susceptible-infected-recovered equations at the nodes coupled by diffusion using a graph Laplacian. We introduce an epidemic…
math.AP2016
From Kinetic Theory of Multicellular Systems to Hyperbolic Tissue Equations: Asymptotic Limits and Computing
Nisrine Outada, Nicolas Vauchelet, Thami Akrid +1
This paper deals with the analysis of the asymptotic limit toward the derivation of macroscopic equations for a class of equations modeling complex multicellular systems by methods…