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20032011
most citedOn the optimal dividend problem for a spectrally negative Lévy process

319 citations

researchers with a paper here
collaborating institutions

21 papers

cs.SE2009★ 14 cited

Context Aware Adaptable Applications - A global approach

Marc Dalmau, Philippe Roose, Sophie Laplace

Actual applications (mostly component based) requirements cannot be expressed without a ubiquitous and mobile part for end-users as well as for M2M applications (Machine to Machine…

math.CA2009★ 63 cited

Modelling hematopoiesis mediated by growth factors with applications to periodic hematological diseases

Mostafa Adimy, Fabien Crauste, Shigui Ruan

Hematopoiesis is a complex biological process that leads to the production and regulation of blood cells. It is based upon differentiation of stem cells under the action of growth…

math.AP2009★ 2 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.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…