79 citations · 127 across the 25 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.AP2021
An integrated semigroup approach for age structured equations with diffusion and non-homogeneous boundary conditions
Arnaud Ducrot, Pierre Magal, Alexandre Thorel
In this work, we consider a linear age-structured problem with diffusion and non-homogeneous boundary conditions both for the age and the space variables. We handle this linear pro…
math.DS2021
A short proof for Hopf bifurcation in Gurtin-MacCamy's population dynamics model
Arnaud Ducrot, Hao Kang, Pierre Magal
In this paper, we provide a short proof for the Hopf bifurcation theorem in the Gurtin-MacCamy's population dynamics model. Here we use the Crandall and Rabinowitz's approach, base…
math.DS2021★ 1 cited
Global asymptotic stability for Gurtin-MacCamy's population dynamics model
Zhaohai Ma, Pierre Magal
In this paper, we investigate the global asymptotic stability of an age-structured population dynamics model with a Ricker's type of birth function. This model is a hyperbolic part…