60 citations · 125 across the 3 of their papers we have counts for
3 papers
math.AP2009★ 53 cited
Stability of limit cycles in a pluripotent stem cell dynamics model
Mostafa Adimy, Fabien Crauste, Andrei Halanay +2
This paper is devoted to the study of the stability of limit cycles of a nonlinear delay differential equation with a distributed delay. The equation arises from a model of populat…
math.AP2009★ 60 cited
Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics
Mostafa Adimy, Fabien Crauste, Shigui Ruan
We study a mathematical model describing the dynamics of a pluripotent stem cell population involved in the blood production process in the bone marrow. This model is a differentia…
math.AP2009★ 12 cited
Existence, positivity and stability for a nonlinear model of cellular proliferation
Mostafa Adimy, Fabien Crauste
In this paper, we investigate a system of two nonlinear partial differential equations, arising from a model of cellular proliferation which describes the production of blood cells…