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hal-00750271v1  Article dans une revue
Fabien CrausteA review on local asymptotic stability analysis for mathematical models of hematopoiesis with delay and delay-dependent coefficients
Annals of the Tiberiu Popoviciu Seminar of functional equations, approximation and convexity, 2011, 9, pp.121-143
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hal-00375926v1  Article dans une revue
Mostafa AdimyFabien CrausteGlobal stability of a partial differential equation with distributed delay due to cellular replication
Nonlinear Analysis Theory Methods and Applications, Elsevier, 2003, 54 (8), pp.1469-1491. <10.1016/S0362-546X(03)00197-4>
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hal-00376070v2  Article dans une revue
Fabien CrausteGlobal Asymptotic Stability and Hopf Bifurcation for a Blood Cell Production Model
Mathematical Biosciences and Engineering, AIMS, 2006, 3 (2), pp.325-346
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hal-00375940v1  Article dans une revue
Mostafa AdimyFabien CrausteLaurent Pujo-MenjouetOn the stability of a maturity structured model of cellular proliferation
Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2005, 12 (3), pp.501-522. <10.3934/dcds.2005.12.501>
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hal-00258392v1  Article dans une revue
Mostafa AdimyFabien CrausteModelling and Asymptotic Stability of a Growth Factor-Dependent Stem Cells Dynamics Model with Distributed Delay
Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2007, 8 (1), pp.19-38
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hal-00258393v1  Article dans une revue
Mostafa AdimyFabien CrausteShigui RuanPeriodic Oscillations in Leukopoiesis Models with Two Delays
Journal of Theoretical Biology, Elsevier, 2006, 242, pp.288-299
hal-00542651v1  Chapitre d'ouvrage
Fabien CrausteStability and Hopf bifurcation for a first-order linear delay differential equation with distributed delay
Complex Time Delay Systems (Ed. F. Atay), Springer, pp.320, 2010
hal-00649218v1  Article dans une revue
Nikolai BessonovFabien CrausteVitaly VolpertModelling of Plant Growth with Apical or Basal Meristem
Math. Model. Nat. Phenom., 2011, 6 (2), pp.107-132
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tel-01092352v1  HDR
Fabien CrausteEquations à Retard et Modèles de Dynamiques de Populations Cellulaires
Mathématiques générales [math.GM]. Université Claude Bernard Lyon 1, 2014
hal-00766339v1  Article dans une revue
Mostafa AdimyFabien CrausteDelay Differential Equations and Autonomous Oscillations in Hematopoietic Stem Cell Dynamics Modeling
Mathematical Modelling of Natural Phenomena, EDP Sciences, 2012, 7 (6), pp.1-22. <10.1051/mmnp/20127601>
hal-00542663v1  Article dans une revue
Fabien CrausteDelay Model of Hematopoietic Stem Cell Dynamics: Asymptotic Stability and Stability Switch
Mathematical Modelling of Natural Phenomena, EDP Sciences, 2009, 4 (2), pp.28-47
hal-00542660v1  Article dans une revue
Nikolai BessonovFabien CrausteIvan DeminVitaly VolpertDynamics of erythroid progenitors and erythroleukemia
Mathematical Modelling of Natural Phenomena, EDP Sciences, 2009, 4 (3), pp.210-232
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hal-00375977v1  Article dans une revue
Mostafa AdimyFabien CrausteShigui RuanA mathematical study of the hematopoiesis process with applications to chronic myelogenous leukemia
SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2005, 65 (4), pp.1328-1352. <10.1137/040604698>
hal-00542655v1  Article dans une revue
Mostafa AdimyFabien CrausteHassan HbidRedouane QesmiStability and Hopf bifurcation for a cell population model with state-dependent delay
SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2010, 70 (5), pp.1611-1633
hal-00542477v1  Article dans une revue
Mostafa AdimyFabien CrausteAbderrahim El AbdllaouiBoundedness and Lyapunov Function for a Nonlinear System of Hematopoietic Stem Cell Dynamics
Comptes Rendus Mathématique, Elsevier Masson, 2010, 348 (7-8), pp.373-377
hal-00542665v1  Article dans une revue
Fabien CrausteMostafa AdimyMathematical model of hematopoiesis dynamics with growth factor-dependent apoptosis and proliferation regulation
Mathematical and Computer Modelling, Elsevier, 2009, 49, pp.2128-2137
hal-00542644v1  Article dans une revue
Mostafa AdimyFabien CrausteCatherine MarquetAsymptotic behavior and stability switch for a mature-immature model of cell differentiation
Nonlinear Analysis: Real World Applications, Elsevier, 2010, 11 (4), pp.2913-2929. <10.1016/j.nonrwa.2009.11.001>
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hal-00997528v1  Article dans une revue
Samuel BernardFabien CrausteOptimal linear stability condition for scalar differential equations with distributed delay
Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2015, 20 (7), <10.3934/dcdsb.2015.20.1855>