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math.AP2025
Adaptation in shifting and size-changing environments under selection
Matthieu Alfaro, Adel Blouza, Nessim Dhaouadi
We propose a model to characterize how a diffusing population adapts under a time periodic selection, while its environment undergoes shifts and size changes, leading to significan…
math.AP2024
The Bramson correction in the Fisher-KPP equation: from delay to advance
Matthieu Alfaro, Thomas Giletti, Dongyuan Xiao
We consider the solution to the scalar Fisher-KPP equation with front-like initial data, focusing on the location of its level sets at large times, particularly their deviation fro…