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math.AP2025
Explicit pulsating fronts and minimal speeds in periodic Fisher-KPP equations
Lionel Roques
We study a Fisher-KPP equation with spatially periodic diffusion and reaction terms. We identify a class of periodic media for which the equation admits an explicit, closed-form so…
math.AP2025
Existence of two thresholds in a bistable equation with nonlocal competition
Matthieu Alfaro, Cédric Chane Ki Chune, Lionel Roques
We consider a nonlocal bistable reaction-diffusion equation, which serves as a model for a population structured by a phenotypic trait, subject to mutation, trait-dependent fitness…