4 citations · 6 across the 2 of their papers we have counts for
3 papers
math.AP2019★ 2 cited
Spreading speeds for multidimensional reaction-diffusion systems of the prey-predator type
Arnaud Ducrot, Thomas Giletti, Hiroshi Matano
We investigate spreading properties of solutions of a large class of two-component reaction-diffusion systems, including prey-predator systems as a special case. By spreading prope…
math.AP2018★ 4 cited
Population invasion with bistable dynamics and adaptive evolution: the evolutionary rescue
Matthieu Alfaro, Arnaud Ducrot
We consider the system of reaction-diffusion equations proposed in [8] as a population dynamics model. The first equation stands for the population density and models the ecologica…
math.AP2012
Propagating interface in a monostable reaction-diffusion equation with time delay
Matthieu Alfaro, Arnaud Ducrot
We consider a monostable time-delayed reaction-diffusion equation arising from population dynamics models. We let a small parameter tend to zero and investigate the behavior of the…