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math.AP2012★ 2 cited
Travelling waves in a nonlocal reaction-diffusion equation as a model for a population structured by a space variable and a phenotypical trait
Matthieu Alfaro, Jérôme Coville, Gaël Raoul
We consider a nonlocal reaction-diffusion equation as a model for a population structured by a space variable and a phenotypical trait. To sustain the possibility of invasion in th…
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…
math.AP2012
Rapid travelling waves in the nonlocal Fisher equation connect two unstable states
Matthieu Alfaro, Coville Jérôme
In this note, we give a positive answer to a question addressed in \cite{Nad-Per-Tan}. Precisely we prove that, for any kernel and any slope at the origin, there do exist travellin…