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math.AP2025
Spreading Properties of a City-Road Reaction-Diffusion Model on One-Dimensional Lattice
Grégory Faye, Jean-Michel Roquejoffre, Min Zhao
We propose and study a new model to describe biological invasions constrained on infinite homogeneous one dimensional metric graphs. Our model consists of an infinite PDE-ODE syste…
math.AP2025
Concentration in selection-mutation models: error estimates and asymptotic expansions
Caroline Guinet, Sepideh Mirrahimi, Jean-Michel Roquejoffre
In this paper, we study an integro-differential equation which describes the evolutionary dynamics of a population structured by a phenotypic trait. This population undergoes asexu…