126 citations · 247 across the 19 of their papers we have counts for
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math.AP2014★ 33 cited
Existence and qualitative properties of travelling waves for an epidemiological model with mutations
Quentin Griette, Gaël Raoul
In this article, we are interested in a non-monotone system of logistic reaction-diffusion equations. This system of equations models an epidemics where two types of pathogens are…
math.AP2014★ 4 cited
Confinement by biased velocity jumps: aggregation of Escherichia coli
Vincent Calvez, Gaël Raoul, Christian Schmeiser
We investigate a linear kinetic equation derived from a velocity jump process modelling bacterial chemotaxis in the presence of an external chemical signal centered at the origin.…
math.AP2014★ 17 cited
Local stability of perfect alignment for a spatially homogeneous kinetic model
Pierre Degond, Amic Frouvelle, Gaël Raoul
We prove the nonlinear local stability of Dirac masses for a kinetic model of alignment of particles on the unit sphere, each point of the unit sphere representing a direction. A p…