45 citations · 211 across the 47 of their papers we have counts for
3 papers · 1 filter
Incompressible limit of a continuum model of tissue growth for two cell populations
P. Degond, S. Hecht, N. Vauchelet
This paper investigates the incompressible limit of a system modelling the growth of two cells population. The model describes the dynamics of cell densities, driven by pressure ex…
The Flux Limited Keller-Segel System; Properties and Derivation from Kinetic Equations
Benoît Perthame, Nicolas Vauchelet, Zhian Wang
The flux limited Keller-Segel (FLKS) system is a macroscopic model describing bacteria motion by chemotaxis which takes into account saturation of the velocity. The hyper-bolic for…
Oscillatory regimes in a mosquito population model with larval feedback on egg hatching
Martin Strugarek, Laetitia Dufour, Nicolas Vauchelet +3
Understanding mosquitoes life cycle is of great interest presently because of the increasing impact of vector borne diseases in several countries. There is evidence of oscillations…