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Existence, positivity and stability for a nonlinear model of cellular proliferation

Mostafa Adimy , Fabien Crauste
Nonlinear Analysis: Real World Applications, 2005, 6 (2), pp.337-366. ⟨10.1016/j.nonrwa.2004.09.001⟩
Article dans une revue hal-00375934v1
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Modelling and Asymptotic Stability of a Growth Factor-Dependent Stem Cells Dynamics Model with Distributed Delay

Mostafa Adimy , Fabien Crauste
Discrete and Continuous Dynamical Systems - Series B, 2007, 8 (1), pp.19-38. ⟨10.3934/dcdsb.2007.8.19⟩
Article dans une revue hal-00258392v1

On the stability of hematopoietic model with feedback control

Mostafa Adimy , Catherine Marquet
Comptes Rendus. Mathématique, 2012, 350 (3-4), pp.173-176. ⟨10.1016/j.crma.2012.01.014⟩
Article dans une revue hal-00763154v1

Delay Differential Equations and Autonomous Oscillations in Hematopoietic Stem Cell Dynamics Modeling

Mostafa Adimy , Fabien Crauste
Mathematical Modelling of Natural Phenomena, 2012, 7 (6), pp.1-22. ⟨10.1051/mmnp/20127601⟩
Article dans une revue hal-00766339v1

Mathematical model of hematopoiesis dynamics with growth factor-dependent apoptosis and proliferation regulation

Fabien Crauste , Mostafa Adimy
Mathematical and Computer Modelling, 2009, 49, pp.2128-2137. ⟨10.1016/j.mcm.2008.07.014⟩
Article dans une revue hal-00542665v1
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Un modèle non-linéaire de prolifération cellulaire : extinction des cellules et invariance

Mostafa Adimy , Fabien Crauste
Comptes Rendus. Mathématique, 2003, 336 (7), pp.559-564. ⟨10.1016/S1631-073X(03)00125-0⟩
Article dans une revue hal-00375916v1
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Coupled reaction-diffusion and difference system of cell-cycle dynamics for hematopoiesis process with Dirichlet boundary conditions

Mostafa Adimy , Abdennasser Chekroun , Toshikazu Kuniya
Australian Journal of Mathematical Analysis and Applications, 2019, 479 (1), pp.1030-1068. ⟨10.1016/j.jmaa.2019.06.066⟩
Article dans une revue hal-02448738v1
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Global stability of a partial differential equation with distributed delay due to cellular replication

Mostafa Adimy , Fabien Crauste
Nonlinear Analysis: Theory, Methods and Applications, 2003, 54 (8), pp.1469-1491. ⟨10.1016/S0362-546X(03)00197-4⟩
Article dans une revue hal-00375926v1
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Global asymptotic stability for a distributed delay differential-difference system of a Kermack-McKendrick SIR model

Mostafa Adimy , Abdennasser Chekroun , Toshikazu Kuniya
Applicable Analysis, 2023, 102 (Issue 12), pp.1-13. ⟨10.1080/00036811.2022.2075352⟩
Article dans une revue hal-03683861v1
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Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics

Mostafa Adimy , Fabien Crauste , Shigui Ruan
Nonlinear Analysis: Real World Applications, 2005, 6 (4), pp.651-670. ⟨10.1016/j.nonrwa.2004.12.010⟩
Article dans une revue hal-00375966v1
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Traveling waves of a differential-difference diffusive Kermack-McKendrick epidemic model with age-structured protection phase

Mostafa Adimy , Abdennasser Chekroun , Toshikazu Kuniya
Journal of Mathematical Analysis and Applications, 2022, 505 (1), pp.125464. ⟨10.1016/j.jmaa.2021.125464⟩
Article dans une revue hal-03518604v1
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A mathematical study of the hematopoiesis process with applications to chronic myelogenous leukemia

Mostafa Adimy , Fabien Crauste , Shigui Ruan
SIAM Journal on Applied Mathematics, 2005, 65 (4), pp.1328-1352. ⟨10.1137/040604698⟩
Article dans une revue hal-00375977v1

Discrete maturity-structured model of cell differentiation with applications to acute myelogenous leukemia

Mostafa Adimy , Fabien Crauste , Abderrahim El Abdllaoui
Journal of Biological Systems, 2008, 16 (3), pp.395-424. ⟨10.1142/S0218339008002599⟩
Article dans une revue hal-00750276v1

Traveling waves for reaction-diffusion PDE coupled to difference equation with nonlocal dispersal term and time delay

Mostafa Adimy , Abdennasser Chekroun , Bogdan Kazmierczak
Mathematical Modelling of Natural Phenomena, 2022, 17, pp.17. ⟨10.1051/mmnp/2022021⟩
Article dans une revue hal-03697707v1

Center manifolds for some partial functional differential equations with infinite delay in fading memory spaces

Mostafa Adimy , Khalil Ezzinbi , Catherine Marquet
Journal of Concrete and Applicable Mathematics, 2012, 10 (3-4), pp.168-185
Article dans une revue hal-00763166v1
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Traveling waves in a coupled reaction-diffusion and difference model of hematopoiesis

Mostafa Adimy , Abdennasser Chekroun , Bogdan Kazmierczak
Journal of Differential Equations, 2017, 262, pp.4085 - 4128. ⟨10.1016/j.jde.2016.12.009⟩
Article dans une revue hal-01573613v1
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Functional differential equations with unbounded delay in extrapolation spaces

Mostafa Adimy , Mohamed Alia , Khalil Ezzinbi
Electronic Journal of Differential Equations, 2014, 2014, pp.1 - 16
Article dans une revue hal-01096950v1
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Delayed nonlocal reaction–diffusion model for hematopoietic stem cell dynamics with Dirichlet boundary conditions

Mostafa Adimy , Abdennasser Chekroun , Toshikazu Kuniya
Mathematical Modelling of Natural Phenomena, 2017, 12 (6), pp.1 - 22. ⟨10.1051/mmnp/2017078⟩
Article dans une revue hal-01683636v1
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Center manifold and stability in critical cases for some partial functional differential equations

Mostafa Adimy , Khalil Ezzinbi , Jianhong Wu
2006
Pré-publication, Document de travail hal-00258396v1

Ergodic and weighted pseudo-almost periodic solutions for partial functional differential equations in fading memory spaces

Mostafa Adimy , Khalil Ezzinbi , Catherine Marquet
Journal of Applied Mathematics and Computing, 2014, 44 (1-2), pp.19. ⟨10.1007/s12190-013-0686-9⟩
Article dans une revue hal-00846883v1
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Why Are Periodic Erythrocytic Diseases so Rare in Humans?

Mostafa Adimy , Louis Babin , Laurent Pujo-Menjouet
Bulletin of Mathematical Biology, 2022, 84 (19), pp.1-19. ⟨10.1007/s11538-021-00973-6⟩
Article dans une revue hal-03516975v1

Boundedness and Lyapunov Function for a Nonlinear System of Hematopoietic Stem Cell Dynamics

Mostafa Adimy , Fabien Crauste , Abderrahim El Abdllaoui
Comptes Rendus. Mathématique, 2010, 348 (7-8), pp.373-377. ⟨10.1016/j.crma.2010.02.018⟩
Article dans une revue hal-00542477v1
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Age-structured and delay differential-difference model of hematopoietic stem cell dynamics

Mostafa Adimy , Abdennasser Chekroun , Tarik-Mohamed Touaoula
Discrete and Continuous Dynamical Systems - Series B, 2015, 20 (9), pp.27. ⟨10.3934/dcdsb.2015.20.2765⟩
Article dans une revue hal-01249892v1
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Neuron Scale Modeling of Prion Production with the Unfolded Protein Response

Mostafa Adimy , Louis Babin , Laurent Pujo-Menjouet
SIAM Journal on Applied Dynamical Systems, 2022, 21 (4), pp.2487-2517. ⟨10.1137/21M1443157⟩
Article dans une revue hal-03962123v1
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A delay differential-difference system of hematopoietic stem cell dynamics

Mostafa Adimy , Abdennasser Chekroun , Tarik-Mohamed Touaoula
Comptes Rendus. Mathématique, 2015, 353 (4), ⟨10.1016/j.crma.2015.01.018⟩
Article dans une revue hal-01249894v1

Asymptotic Behavior of a Discrete Maturity Structured System of Hematopoietic Stem Cells Dynamics with Several Delays

Mostafa Adimy , Fabien Crauste , Abderrahim El Abdllaoui
Mathematical Modelling of Natural Phenomena, 2006, 1 (2), pp.1-22. ⟨10.1051/mmnp:2008001⟩
Article dans une revue hal-00750285v1
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Global asymptotic stability for an age-structured model of hematopoietic stem cell dynamics

Mostafa Adimy , Abdennasser Chekroun , Tarik-Mohamed Touaoula
Applicable Analysis, 2016, pp.1 - 12. ⟨10.1080/00036811.2016.1139698⟩
Article dans une revue hal-01396691v1
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Periodic Oscillations in Leukopoiesis Models with Two Delays

Mostafa Adimy , Fabien Crauste , Shigui Ruan
Journal of Theoretical Biology, 2006, 242, pp.288-299. ⟨10.1016/j.jtbi.2006.02.020⟩
Article dans une revue hal-00258393v1
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New Variation of Constants Formula for Some Partial Functional Differential Equations with Infinite Delay

Mostafa Adimy , Khalil Ezzinbi , Aziz Ouhinou
2006
Pré-publication, Document de travail hal-00258402v1
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Bohr-Neugebauer type theorem for some partial neutral functional differential equations

Mostafa Adimy , Abdelhai Elazzouzi , Khalil Ezzinbi
2006
Pré-publication, Document de travail hal-00258398v1