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math.AP2023
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…
q-bio.PE2023
Asymptotic behavior of an epidemic model with infinitely many variants
Jean-Baptiste Burie, Arnaud Ducrot, Quentin Griette
We investigate the long-time dynamics of a SIR epidemic model with infinitely many pathogen variants infecting a homogeneous host population. We show that the basic reproduction nu…