Publications

[50]  M.Adimy, A.Elazzoui and K.Ezzinbi. Reduction principle and dynamic behaviors for a class of partial functional differential equations. Nonlinear Analysis, TMA, 71, 1709-1727 (2009).
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[49]  M.Adimy and K.Ezzinbi. Existence, regularity, stability and boudedness for some partial functional differential equations. Société Mathématique de France (in press, 2009).
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[48]  M.Adimy and F.Crauste. Mathematical model of hematopoiesis dynamics with growth factor-dependent apoptosis and proliferation regulation. Mathematical and Computer Modelling, 49, 2128-2137 (2009).
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[47]  C.Kou, M.Adimy et A.Ducrod. On the dynamics of an impulsive model of hematopoiesis. Journal of Mathematical Modelling and Natural Phenomena, 4(2), 89-112 (2009).
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[46]  M.Adimy, S.Bernard, J.Clairambault, F.Crauste, S.Génieys and L.Pujo-Menjouet. Modélisation de la dynamique de l'hématopoïèse normale et pathologique. Hématologie, 14 (5), 339-350 (2008).
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[44]  M.Adimy, O.Angulo, F.Crauste and J.C.Lopez-Marcos. Numerical integration of a mathematical model of hematopoietic stem cell dynamics. Computers & Mathematics with Applications, Vol. 56 (3), 594-60, (2008).
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[43]  M.Adimy, K.Ezzinbi and A.Ouhinou. Behavior near hyperbolic stationary solutions for partial differential equations with infinite delay. Nonlinear Analysis, TMA, 68, No. 8 (A), 2280-2302 (2008).
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[42]  M.Adimy and F.Crauste. Modelling and asymptotic stability of  a growth factor-dependent stem cells dynamics model with distributed delay. Discrete and Continuous Dynamical Systems Series B, 8(1), 19-38 (2007).
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[41]  M.Adimy, A.Elazzoui and K.Ezzinbi. Bohr-Neugebauer type theorem for some partial neutral functional differential equations. Nonlinear Analysis, TMA. 66, 1145-1160 (2007).
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[40]  M.Adimy and K.Ezzinbi. Existence and stability in the alpha-norm for partial functional differential equations of neutral type. Annali di matematica pura ed applicata, 185(3), 437-460 (2006).
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[39]  M.Adimy, F.Crauste and A.El Abdllaoui. Asymptotic behavior of a discrete maturity sturctured system of hematopoietic stem cell dynamics with several delays. Journal of Mathematical Modelling and Natural Phenomena, 1(2), 1-19 (2006).
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[38]  M.Adimy, F.Crauste and S.Ruan. Modelling hematopoiesis mediated by growth factors with applications to periodic hematological diseases. Bulletin of Mathematical Biology, 68 (8), 2321-2351 (2006).
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[37]  M.Adimy, F.Crauste and S.Ruan. Periodic Oscillations in Leukopoiesis Models with Two Delays. Journal of Theoretical Biology, 242, 288-299 (2006).
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[36]  M.Adimy, F.Crauste, A.Halanay, M.Neamtu and D.Opris. Stability of limit cycles in a pluripotent stem cell dynamics model. Chaos, Solitons and Fractals, 27 (4), 1091-1107 (2006).
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[35]  M.Adimy, K.Ezzinbi and A.Ouhinou. Variation of constants formula and almost periodic solutions for some partial functional differential equations with infinite delay. Journal of Mathematical Analysis and Applications, 317, 668-689 (2006).
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[34]  M.Adimy, K.Ezzinbi and J.Wu. Center manifold and stability in critical cases for some partial functional differential equations. International Journal of Evalution Equations, 2, 69-95 (2006).
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[33]  K.Ezzinbi and M.Adimy. The Basic Theory of Abstract Semilinear Functional Differential Equations with Non-Dense Domain. "Delay Differential Equations with Applications", NATO Science Series II: Mathematics, Physics and Chemistry, Vol. 205, 590 p., Springer, Berlin (2006).
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[32]  M.Adimy, F.Crauste and S.Ruan. A mathematical study of the hematopoiesis process with applications to chronic myelogenous leukemia. SIAM J. Appl. Math., 65 (4), 1328-1352 (2005).
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[31]  M.Adimy, F.Crauste and S.Ruan. Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics. Nonlinear Analysis: Real World Applications, 6 (4), 651-670 (2005).
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[30]  M.Adimy and F.Crauste. Existence, positivity and stability for a nonlinear model of cellular proliferation. Nonlinear Analysis: Real World Applications, 6 (2), 337-366 (2005).
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[29]  M.Adimy, F.Crauste and L.Pujo-Menjouet. On the stability of a maturity structured model of cellular proliferation. Dis. Cont. Dyn. Sys. Ser. A, 12 (3), 501-522 (2005).
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[28]  M.Adimy and K.Ezzinbi. Existence and stability of solutions for a class of partial neutral functional differential equations. Hiroshima Mathematical Journal, 34, 251-294 (2004).
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[27]  M.Adimy, H.Bouzahir and K.Ezzinbi. Local existence or a class of partial neutral functional differential equations with infinite delay. Differetial Equations and Dynamical Systems, Vol 12, N° 3 et 4, 353-370 (2004).

[26]  M.Adimy, H.Bouzahir and K.Ezzinbi. Existence and stability for some partial neutral functional differential equations with infinite delay. Journal of Mathematical Analysis and Applications, 294, N° 2, 438-461 (2004).
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[25]  M.Adimy, K.Ezzinbi and K.Laklach. Nonlinear semigroup of a class of abstract semilinear functional differential equations with non-dense domain. Acta Mathematica Sinica, 20, N° 5, 933-942 (2004).
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[24]   M.Adimy and F.Crauste. Stability and instability induced by time delay in an erythropoiesis model. Monografias del Seminario Matematico Garcia de Galdeano, 31, 3-12, (2004).
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[23]  F.Crauste and M.Adimy. Bifurcation dans un modèle non-linéaire de production du sang. Comptes-rendus de la 7ième Rencontre du Non-linéaire, Non-linéaire Publications, Paris, 73-78, (2004).
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[22]  M.Adimy and F.Crauste. Global stability of a partial differential equation with distributed delay due to cellular replication. Nonlinear Analysis, TMA, 54, (8), 1469-1491 (2003).
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[21]  M.Adimy and F.Crauste. Un modèle non-linéaire de prolifération cellulaire : extinction des cellules et invariance. Comptes Rendus Mathématiques, 336, 559-564 (2003).
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[20]  M.Adimy and L.Pujo-Menjouet. Asymptotic behavior of a singular transport equation modelling cell division. Dis. Cont. Dyn. Sys. Ser. B, 3 (3), 439-456 (2003).
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[19]  M.Adimy and L.Pujo-Menjouet. A mathematical model describing cellular division with a proliferating phase duration depending on the maturity of cells. Electron. J. Diff. Equ. 2003, 107, 14p (2003).
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[18]  M.Adimy and K.Ezzinbi. Equations de type neutre et semi-groupes intégrés.  Actes des 3èmes Journées Saragosse-Pau de Mathématiques Appliquées, p. 49-58, (1993).

[17]  M.Adimy, H.Bouzahir and K.Ezzinbi. Local existene and stability for some partial functional differential equations with infinite delay. Nonlinear Analysis, TMA, 48A (3), 323-348 (2002).
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[16]  M.Adimy, K.Ezzinbi and K.Laklach. Specytral decomposition for parial neutral functional differential equations. Canad. Appl. Math. Quart., 9 (1), 1-34 (2001).
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[14]  M.Adimy and L.Pujo-Menjouet. A singular transport model describing cellular division. C.R. Acad. Sci. Paris, 332 (12), 1071-1076 (2001).
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[13]  M.Adimy and M.Laklach. Local Hopf bifurcation for some class of partial differential equations. Actes des 6èmes journées Zaragoza-Pau de mathématiques appliquées et de statistiques, 21-28, (2001).

[12]  M.Adimy, K.Ezzinbi and K.Laklach. Existence of solution for a class of partial neutral differential equtations. C.R. Acad. Sci. Paris, 330, 957-962 (2000).
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[11]  M.Adimy and K.Ezzinbi. Existene and linearized stability for partial neutral functional differential equations with non-dense domains. Diff. Equ. and Dyn. Syst., 7, 371-417 (1999).

[10]  M.Adimy and K.Ezzinbi. Strict solutions of nonlinear hyperbolic neutral differential equations. Applied Mathematics Letters, 12, p. 107-112, (1999).
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[9]  M.Adimy. On the compactness of the semigroup solution of abstract semilinear functional differential equations with a non-dense domain. Publ. Semin. Mat. García de Galdeano, Serie II, 20, 45-52, (1999).

[8]  M.Adimy and K.Ezzinbi. Local existence and linearized stability for partial functional differential equations. Dynamic Systems and Applications, 7, p. 389-404, (1998).

[7]  M.Adimy and K.Ezzinbi. A Class of Linear Partial Neutral Functional differential Equations with Non-Dense Domain. Journal of Differential Equations, 147, p. 285-332, (1998).
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[6]  M.Adimy and K.Ezzinbi. Semi-groupes intégrés et équations à retard en dimension infinie. C. R. Acad. Sci. Paris, t. 323, Série I, 481-486,(1996).

[5]  M.Adimy and K.Ezzinbi. Equations de type neutre et semi-groupes intégrés. C. R. Acad. Sci. Paris t. 318, Série I, 529-534, (1994).

[4]  M.Adimy. Integrated semigroups and delay differential equations. J. of Math. Anal. and Appl., 177, No.1, 125-134, (1993).
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[3]  M.Adimy and O.Arino. Bifurcation de Hopf globale pour des équations à retard par des semi-groupes intégrés. C. R. Acad. Sci. Paris, t. 317, Série I, 767-772, (1993).

[2]  M.Adimy and A.Agouzal. Une méthode numérique de bifurcation de Hopf locale par des semi-groupes intégrés pour une équation à mémoire. Actes des 2èmes Journées Saragosse-Pau de Mathématiques Appliquées, p. 37-46, (1992).

[1]  M.Adimy. Bifurcation de Hopf locale par des semi-groupes intégrés. C. R. Acad. Sci. Paris, t. 311, Série I, 423-428, (1990).