20 citations · 52 across the 17 of their papers we have counts for
5 papers · 1 filter
Homogenization and influence of fragmentation in a biological invasion model
Mohammad El Smaily, Francois Hamel, Lionel Roques
In this paper, some properties of the minimal speeds of pulsating Fisher-KPP fronts in periodic environments are established. The limit of the speeds at the homogenization limit is…
Biological invasions: deriving the regions at risk from partial measurements
Michel Cristofol, Lionel Roques
We consider the problem of forecasting the regions at higher risk for newly introduced invasive species. Favourable and unfavourable regions may indeed not be known a priori, espec…
Does reaction-diffusion support the duality of fragmentation effect?
Lionel Roques, Mickaël D. Chekroun
There is a gap between single-species model predictions, and empirical studies, regarding the effect of habitat fragmentation per se, i.e., a process involving the breaking apart o…
A population facing climate change: joint influences of Allee effects and environmental boundary geometry
Lionel Roques, Alain Roques, Henri Berestycki +1
As a result of climate change, many populations have to modify their range to follow the suitable areas - their "climate envelope" - often risking extinction. During this migration…
Fast propagation for KPP equations with slowly decaying initial conditions
Francois Hamel, Lionel Roques
This paper is devoted to the analysis of the large-time behavior of solutions of one-dimensional Fisher-KPP reaction-diffusion equations. The initial conditions are assumed to be g…