2 citations · 7 across the 11 of their papers we have counts for
15 papers
Return-to-home model for short-range human travel
Arnaud Ducrot, Pierre Magal
In this work, we develop a mathematical model to describe the local movement of individuals by taking into account their return to home after a period of travel. We provide a suita…
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…
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…
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…
Sharp discontinuous traveling waves in a hyperbolic Keller--Segel equation
Xiaoming Fu, Quentin Griette, Pierre Magal
In this work we describe a hyperbolic model with cell-cell repulsion with a dynamics in the population of cells. More precisely, we consider a population of cells producing a field…
A Holling's predator-prey model with handling and searching predators
Sze-Bi Hsu, Zhihua Liu, Pierre Magal
The goal of this paper is to explain how to derive the classical Rosenzweig-MacArthur's model by using a model with two groups of predators in which we can separate the vital dynam…