2 citations · 7 across the 16 of their papers we have counts for
4 papers · 1 filter
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…
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…
A system of state-dependent delay differential equation modelling forest growth I: semiflow properties
Pierre Magal, Zhengyang Zhang
In this article we investigate the semiflow properties of a class of state-dependent delay differential equations which is motivated by some models describing the dynamics of the n…