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math.AP2022
Return-to-home model for short-range human travel
Arnaud Ducrot, Pierre Magal
In this work, we develop a mathematical model to describe the local movement of individuals by taking into account their return to home after a period of travel. We provide a suita…
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…