12 citations · 18 across the 14 of their papers we have counts for
3 papers · 2 filters
Propagation and blocking in a two-patch reaction-diffusion model
François Hamel, Frithjof Lutscher, Mingmin Zhang
This paper is concerned with propagation phenomena for the solutions of the Cauchy problem associated with a two-patch one-dimensional reaction-diffusion model. It is assumed that…
Propagation phenomena in periodic patchy landscapes with interface conditions
François Hamel, Frithjof Lutscher, Mingmin Zhang
This paper is concerned with a model for the dynamics of a single species in a one-dimensional heterogeneous environment. The environment consists of two kinds of patches, which ar…
Reaction-diffusion fronts in funnel-shaped domains
François Hamel, Mingmin Zhang
We consider bistable reaction-diffusion equations in funnel-shaped domains of R N made up of straight parts and conical parts with positive opening angles. We study the large time…