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20032009
most citedStability of limit cycles in a pluripotent stem cell dynamics model

53 citations

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8 papers · 1 filter

math.AP20092 cited

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…

math.AP200953 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.AP200912 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…

math.AP20088 cited

Analytical Solution for Wave Propagation in Stratified Poroelastic Medium. Part II: the 3D Case

Julien Diaz, Abdelaâziz Ezziani

We are interested in the modeling of wave propagation in poroelastic media. We consider the biphasic Biot's model in an infinite bilayered medium with a plane interface. We adopt t…

math.AP2007

Energy solutions for polymer aqueous solutions in two dimension

Chérif Amrouche, El-Hacene E. H Ouazar

The aim of this article is to study a nonlinear system modeling a Non-Newtonian fluid of polymer aqueous solutions. We are interested here in the existence of weak solutions for th…

math.AP2007

Solutions fortes de l'équation de l'énergie

Chérif Amrouche, Macaire Batchi, Jean Batina

In this paper, we give some existence results of stong solutions for the energy equation associated to the Navier-Stokes equations with nonhomogeneous boundary conditions in two di…