9 citations · 13 across the 10 of their papers we have counts for
17 papers · 1 filter
Bistable wavefronts in the Gurtin-MacCamy population model
Quentin Griette, Franco Herrera, Hao Kang
In this paper we prove the existence of monotone traveling wave solutions for an age-structured population model with a monotone and bistable nonlinearity. We formulate the problem…
Propagation dynamics of an acid-mediated invasion model with degenerate tumor diffusion
Xinyue Cao, Quentin Griette, Xiong Li +1
We investigate traveling wave fronts for an acid-mediated tumor invasion model with density-dependent degenerate diffusion. The model is a partially diffusive PDE--ODE system of Ga…
Propagation phenomena in KPP-bistable periodic patchy environments
Quentin Griette, François Hamel, Mingmin Zhang +1
This paper first investigates the propagation dynamics of solutions to the Cauchy problem for a one-dimensional reaction-diffusion equation in a spatially periodic environment cons…
On advective nonlocal operators: multiplicity of principal eigenpairs
Arnaud Ducrot, Quentin Griette, Xing Liang
We study the existence and multiplicity of principal eigenvalues and eigenfunctions for a periodically heterogeneous nonlocal dispersal model with advection. The operator we consid…
Front propagation in hybrid reaction-diffusion epidemic models with spatial heterogeneity. Part II: Pulsating traveling waves
Quentin Griette, Hiroshi Matano
We consider a two-species reaction-diffusion system in one space dimension that is derived from an epidemiological model in a spatially periodic environment with two types of patho…
Sharp threshold dynamics for a bistable age-structured population model
Quentin Griette, Franco Herrera
This paper is devoted to the long-term dynamics of solutions to the Gurtin-MacCamy population model with a bistable birth function. We consider a one-parameter monotone family of i…