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math.AP2022★ 10 cited
The field-road diffusion model: fundamental solution and asymptotic behavior
Matthieu Alfaro, Romain Ducasse, Samuel Tréton
We consider the linear field-road system, a model for fast diffusion channels in population dynamics and ecology. This system takes the form of a system of PDEs set on domains of d…
math.AP2022
Quantifying the threshold phenomena for propagation in nonlocal diffusion equations
Matthieu Alfaro, Arnaud Ducrot, Hao Kang
We are interested in the threshold phenomena for propagation in nonlocal diffusion equations with some compactly supported initial data. In the so-called bistable and ignition case…