45 citations · 211 across the 47 of their papers we have counts for
5 papers · 1 filter
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…
Quantifying the Survival Uncertainty of Wolbachia-infected Mosquitoes in a Spatial Model *
Martin Strugarek, Nicolas Vauchelet, Jorge Zubelli
Artificial releases of Wolbachia-infected Aedes mosquitoes have been under study in the past years for fighting vector-borne diseases such as dengue, chikungunya and zika. Several…
Traveling Pulses for a Two-Species Chemotaxis Model
Casimir Emako, Charlène Gayrard, Axel Buguin +2
Mathematical models have been widely used to describe the collective movement of bacteria by chemotaxis. In particular, bacterial concentration waves traveling in a narrow channel…
Convergence order of upwind type schemes for transport equations with discontinuous coefficients
François Delarue, Frédéric Lagoutière, Nicolas Vauchelet
An analysis of the error of the upwind scheme for transport equation with discontinuous coefficients is provided. We consider here a velocity field that is bounded and one-sided Li…
Reduction to a single closed equation for 2 by 2 reaction-diffusion systems of Lotka-Volterra type
Martin Strugarek, Nicolas Vauchelet
We consider general models of coupled reaction-diffusion systems for interacting variants of the same species. When the total population becomes large with intensive competition, w…