1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2022★ 1 cited
Age-structured Models with Nonlocal Diffusion of Dirichlet Type, I: Principal Spectral Theory and Limiting Properties
Arnaud Ducrot, Hao Kang, Shigui Ruan
Age-structured models with nonlocal diffusion arise naturally in describing the population dynamics of biological species and the transmission dynamics of infectious diseases in wh…
math.AP2022
Quantifying the threshold phenomena for propagation in nonlocal diffusion equations
Matthieu Alfaro, Arnaud Ducrot, Hao Kang
We are interested in the threshold phenomena for propagation in nonlocal diffusion equations with some compactly supported initial data. In the so-called bistable and ignition case…
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…