397 citations · 777 across the 11 of their papers we have counts for
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Global Asymptotic Stability and Hopf Bifurcation for a Blood Cell Production Model
Fabien Crauste
We analyze the asymptotic stability of a nonlinear system of two differential equations with delay describing the dynamics of blood cell production. This process takes place in the…
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…
A mathematical study of the hematopoiesis process with applications to chronic myelogenous leukemia
Mostafa Adimy, Fabien Crauste, Shigui Ruan
This paper is devoted to the analysis of a mathematical model of blood cells production in the bone marrow (hematopoiesis). The model is a system of two age-structured partial diff…
On the stability of a maturity structured model of cellular proliferation
Mostafa Adimy, Fabien Crauste, Laurent Pujo-Menjouet
We analyse the asymptotic behaviour of a nonlinear mathematical model of cellular proliferation which describes the production of blood cells in the bone marrow. This model takes t…
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…
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…