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math.AP2025
On measure-valued solutions for a structured population model with transfers
Pierre Magal, Gaël Raoul
We consider a transfer operator where two interacting cells carrying non-negative traits transfer a random fraction of their trait to each other. These transfers can lead to popula…
math.AP2025
Robin Hood model versus Sheriff of Nottingham model: transfers in population dynamics
Quentin Griette, Pierre Magal
We study the problem of transfers in a population structured by a continuous variable corresponding to the quantity being transferred. The model takes the form of an integro-differ…
math.AP2024
Traveling waves with continuous profile for hyperbolic Keller-Segel equation
Quentin Griette, Pierre Magal, Min Zhao
This work describes a hyperbolic model for cell-cell repulsion with population dynamics. We consider the pressure produced by a population of cells to describe their motion. We ass…