Publications



[54]  M.Adimy, F.Crauste, H.Hbid et R.Qesmi. Stability and hopf bifurcation for a cell population model with state-dependent delay (soumis).

[53]  M.Adimy, F.Crauste et A.El Abdllaoui. On some causes of extinction and explosion of hematopoietic stem cell population (soumis).

[52]  M.Adimy, M.Alia  et K.Ezzinbi. Partial neutral functional differential equations with infinite delay in extrapolation spaces (soumis).

[51]
  M.Adimy, F.Crauste et C.Marquet. Asymptotic behavior and stability switch for a mature-immature model of cell differentiation (soumis).

[50]  M.Adimy, A.Elazzoui et K.Ezzinbi. Reduction principle and dynamic behaviors for a class of partial functional differential equationsNonlinear Analysis, TMA, 71, 1709-1727 (2009).
pdf Downlaod

[49]  M.Adimy et F.Crauste. Mathematical model of hematopoiesis dynamics with growth factor-dependent apoptosis and proliferation regulationMathematical and Computer Modelling, 49, 2128-2137 (2009).
pdf Downlaod

[48]  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).
pdf Downlaod

[47]  M.Adimy, S.Bernard, J.Clairambault, F.Crauste, S.Génieys et L.Pujo-Menjouet. Modélisation de la dynamique de l'hématopoïèse normale et pathologique. Hématologie, 14 (5), 339-350 (2008).
pdf Downlaod

[46]
 
M.Adimy, F.Crauste et A.El Abdllaoui. Discrete maturity-structured model of cell differentiation with applications to acute myelogenous leukemia. Journal of Biological Systems, Vol. 16 (3), 395-424, (2008).
pdf Downlaod
 
[45]  M.Adimy, O.Angulo, F.Crauste et 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).
pdf Downlaod


[44]  M.Adimy, K.Ezzinbi et A.Ouhinou. Behavior near hyperbolic stationary solutions for partial differential equations with infinite delay. Nonlinear Analysis, TMA, 68, No. 8 (A), 2280-2302 (2008).
pdf Downlaod

[43]  M.Adimy et 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).
pdf Downlaod

[42]  M.Adimy, A.Elazzoui et K.Ezzinbi. Bohr-Neugebauer type theorem for some partial neutral functional differential equations. Nonlinear Analysis, TMA. 66, 1145-1160 (2007).
pdf Downlaod

[41]  M.Adimy et 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).
pdf Downlaod

[40]  M.Adimy, F.Crauste et 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).
pdf Downlaod

[39]  M.Adimy, F.Crauste et S.Ruan. Modelling hematopoiesis mediated by growth factors with applications to periodic hematological diseases. Bulletin of Mathematical Biology, 68 (8), 2321-2351 (2006).
pdf Downlaod

[38]  M.Adimy, F.Crauste et S.Ruan. Periodic Oscillations in Leukopoiesis Models with Two Delays. Journal of Theoretical Biology, 242, 288-299 (2006).
pdf Downlaod

[37]  M.Adimy, F.Crauste, A.Halanay, M.Neamtu et D.Opris. Stability of limit cycles in a pluripotent stem cell dynamics model. Chaos, Solitons and Fractals, 27 (4), 1091-1107 (2006).
pdf Downlaod

[36]  M.Adimy, K.Ezzinbi et 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).
pdf Downlaod

[35]  M.Adimy, K.Ezzinbi et J.Wu. Center manifold and stability in critical cases for some partial functional differential equations. International Journal of Evalution Equations, 2, 69-95 (2006).
pdf Downlaod

[34]  M.Adimy, F.Crauste et S.Ruan. A mathematical study of the hematopoiesis process with applications to chronic myelogenous leukemia. SIAM J. Appl. Math., 65 (4), 1328-1352 (2005).
pdf Downlaod

[33]  M.Adimy, F.Crauste et 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).
pdf Downlaod

[32]  M.Adimy et F.Crauste. Existence, positivity and stability for a nonlinear model of cellular proliferation. Nonlinear Analysis: Real World Applications, 6 (2), 337-366 (2005).
pdf Downlaod

[31]  M.Adimy, F.Crauste et 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).
pdf Downlaod

[30]  M.Adimy et K.Ezzinbi. Existence and stability of solutions for a class of partial neutral functional differential equations. Hiroshima Mathematical Journal, 34, 251-294 (2004).
pdf Downlaod

[29]  M.Adimy, H.Bouzahir et 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).

[28]  M.Adimy, H.Bouzahir et 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).
pdf Downlaod

[27]  M.Adimy, K.Ezzinbi et 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).
pdf Downlaod

[26]  M.Adimy et F.Crauste. Global stability of a partial differential equation with distributed delay due to cellular replication. Nonlinear Analysis, TMA, 54 (8), 1469-1491 (2003).
pdf Downlaod

[25]  M.Adimy et F.Crauste. Un modèle non-linéaire de prolifération cellulaire : extinction des cellules et invariance. Comptes Rendus Mathématiques, 336, 559-564 (2003).
pdf Downlaod

[24]  M.Adimy et L.Pujo-Menjouet. Asymptotic behavior of a singular transport equation modelling cell divisionDis. Cont. Dyn. Sys. Ser. B, 3 (3), 439-456 (2003).
pdf Downlaod

[23]  M.Adimy et 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).
pdf Downlaod

[22]  M.Adimy, H.Bouzahir et K.Ezzinbi. Local existene and stability for some partial functional differential equations with infinite delay. Nonlinear Analysis, TMA, 48A (3), 323-348 (2002).
pdf Downlaod

[21]  M.Adimy, K.Ezzinbi et K.Laklach. Specytral decomposition for parial neutral functional differential equations. Canad. Appl. Math. Quart., 9 (1), 1-34 (2001).
pdf Downlaod
 
[20]  M.Adimy, H.Bouzahir et K.Ezzinbi. Existence for a class of partial functional differential equations with infinite delay. Nonlinear Analysis, TMA, 46A (1), 91-112 (2001).
pdf Downlaod

[19]  M.Adimy et L.Pujo-Menjouet. A singular transport model describing cellular division. C.R. Acad. Sci. Paris, 332 (12), 1071-1076 (2001).
pdf Downlaod

[18]  M.Adimy, K.Ezzinbi et K.Laklach. Existence of solution for a class of partial neutral differential equtations. C.R. Acad. Sci. Paris, 330, 957-962 (2000).
pdf Downlaod

[17]
 M.Adimy et 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).

[16]
 
M.Adimy et K.Ezzinbi. Strict solutions of nonlinear hyperbolic neutral differential equations. Applied Mathematics Letters, 12, p. 107-112, (1999).
pdf Downlaod

[15]
 
M.Adimy et K.Ezzinbi. Local existence and linearized stability for partial functional differential equations. Dynamic Systems and Applications, 7, p. 389-404, (1998).

[14]  M.Adimy et K.Ezzinbi. A Class of Linear Partial Neutral Functional differential Equations with Non-Dense Domain. Journal of Differential Equations, 147, p. 285-332, (1998).
pdf Downlaod

[13]  M.Adimy et K.Ezzinbi. Semi-groupes intégrés et équations à retard en dimension infinie. C. R. Acad. Sci. Paris, t. 323, Série I, 481-486, (1996).

[12]
 
M.Adimy et K.Ezzinbi. Equations de type neutre et semi-groupes intégrés. C. R. Acad. Sci. Paris t. 318, Série I, 529-534, (1994).

[11]  M.Adimy. Integrated semigroups and delay differential equations. J. of Math. Anal. and Appl., 177, No.1, 125-134, (1993).
pdf Downlaod

[10]
 M.Adimy et 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).

[9]
 M.Adimy. Bifurcation de Hopf locale par des semi-groupes intégrés. C. R. Acad. Sci. Paris, t. 311, Série I, 423-428, (1990).    
 

Chapitre de livre


      
[8]  K.Ezzinbi et 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).
pdf Downlaod

Actes de colloques


[7]  M.Adimy et K.Ezzinbi. Existence, regularity, stability and boudedness for some partial functional differential equations . Société Mathématique de France (in press 2009).
pdf Downlaod
  
[6]
  M.Adimy et F.Crauste. Stability and instability induced by time delay in an erythropoiesis model. Monografias del Seminario Matematico Garcia de Galdeano, 31, 3-12, (2004).
pdf Downlaod

[5]
 
F.Crauste et 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).
pdf Downlaod

[4]
 M.Adimy et 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).

[3]
 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).

[2]  M.Adimy et K.Ezzinbi. Equations de type neutre et semi-groupes intégrés Actes des 3èmes Journées Saragosse-Pau de Mathématiques Appliquées, p. 49-58, (1993).

[1]  M.Adimy et 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).
 
Sommaire
   

 Modèles de prolifération cellulaire - Cancérologie

 
M.Adimy, F.Crauste, H.Hbid et R.Qesmi. Stability and hopf bifurcation for a cell population model with state-dependent delay (soumis).
 
M.Adimy, F.Crauste et A.El Abdllaoui. On some causes of extinction and explosion of hematopoietic stem cell population (soumis).

M.Adimy, F.Crauste et C.Marquet. Asymptotic behavior and stability switch for a mature-immature model of cell differentiation (soumis).

M.Adimy et F.Crauste. Mathematical model of hematopoiesis dynamics with growth factor-dependent apoptosis and proliferation regulationMathematical and Computer Modelling , 49, 2128-2137 (2009).
pdf Downlaod

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).
pdf Downlaod

M.Adimy, S.Bernard, J.Clairambault, F.Crauste, S.Génieys et L.Pujo-Menjouet. Modélisation de la dynamique de l'hématopoïèse normale et pathologique. Hématologie, 14 (5), 339-350 (2008).
pdf Downlaod

M.Adimy, O.Angulo, F.Crauste et 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).
pdf Downlaod

M.Adimy, F.Crauste et A.El Abdllaoui. Discrete maturity-structured model of cell differentiation with applications to acute myelogenous leukemia. Journal of Biological Systems, Vol. 16 (3), 395-424, (2008). 
pdf Downlaod

M.Adimy et 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).
pdf Downlaod

M.Adimy, F.Crauste et 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).
pdf Downlaod

M.Adimy, F.Crauste et S.Ruan. Modelling hematopoiesis mediated by growth factors with applications to periodic hematological diseases. Bulletin of Mathematical Biology, 68 (8), 2321-2351 (2006).
pdf Downlaod

M.Adimy, F.Crauste et S.Ruan. Periodic Oscillations in Leukopoiesis Models with Two Delays. Journal of Theoretical Biology, 242, 288-299 (2006).
pdf Downlaod

M.Adimy, F.Crauste, A.Halanay, M.Neamţu et D.Opriş. Stability of limit cycles in a pluripotent stem cell dynamics model. Chaos, Solitons and Fractals, 27 (4), 1091-1107 (2006).
pdf Downlaod

M.Adimy, F.Crauste et S.Ruan. A mathematical study of the hematopoiesis process with applications to chronic myelogenous leukemia. SIAM J. Appl. Math., 65 (4), 1328-1352 (2005).
pdf Downlaod

M.Adimy, F.Crauste et 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).
pdf Downlaod

M.Adimy et F.Crauste. Existence, positivity and stability for a nonlinear model of cellular proliferation. Nonlinear Analysis: Real World Applications, 6 (2), 337-366 (2005).
pdf Downlaod

M.Adimy, F.Crauste et 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).
pdf Downlaod

M.Adimy et F.Crauste. Global stability of a partial differential equation with distributed delay due to cellular replication. Nonlinear Analysis, TMA, 54 (8), 1469-1491 (2003).
pdf Downlaod

M.Adimy et F.Crauste. Un modèle non-linéaire de prolifération cellulaire : extinction des cellules et invariance. Comptes Rendus Mathématiques, 336, 559-564 (2003).
pdf Downlaod

M.Adimy et L.Pujo-Menjouet. Asymptotic behavior of a singular transport equation modelling cell divisionDis. Cont. Dyn. Sys. Ser. B, 3 (3), 439-456 (2003).
pdf Downlaod

M.Adimy et 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).
pdf Downlaod

M.Adimy et L.Pujo-Menjouet. A singular transport model describing cellular division. C.R. Acad. Sci. Paris, 332 (12), 1071-1076 (2001).
pdf Downlaod

M.Adimy et F.Crauste. Stability and instability induced by time delay in an erythropoiesis medel. Monografias des Seminario Matematico Garcia de Galdeano, 31, 3-12 (2004).
pdf Downlaod

F.Crauste et 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).
pdf Downlaod
 

Equations différentielles et EDP à retard

      
M.Adimy, M.Alia  et K.Ezzinbi. Partial neutral functional differential equations with infinite delay in extrapolation spaces (soumis).
   
M.Adimy, A.Elazzoui et K.Ezzinbi. Reduction principle and dynamic behaviors for a class of partial functional differential equations. Nonlinear Analysis, TMA, 71, 1709-1727 (2009).
pdf Downlaod

M.Adimy, K.Ezzinbi et A.Ouhinou. Behavior near hyperbolic stationary solutions for partial differential
equations with infinite delay. Nonlinear Analysis, TMA, 68, No. 8 (A), 2280-2302 (2008).
pdf Downlaod

M.Adimy, A.Elazzoui et K.Ezzinbi. Bohr-Neugebauer type theorem for some partial neutral functional differential equations. Nonlinear Analysis, TMA. 66, 1145-1160 (2007).
pdf Downlaod

M.Adimy et 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).
pdf Downlaod

M.Adimy, K.Ezzinbi et 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).
pdf Downlaod

M.Adimy, K.Ezzinbi et J.Wu. Center manifold and stability in critical cases for some partial functional differential equations. International Journal of Evalution Equations, 2, 69-95 (2006).
pdf Downlaod

M.Adimy et K.Ezzinbi. Existence and stability of solutions for a class of partial neutral functional differential equations. Hiroshima Mathematical Journal, 34, 251-294 (2004).
pdf Downlaod

M.Adimy, H.Bouzahir et 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).

M.Adimy, H.Bouzahir et 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).
pdf Downlaod

M.Adimy, K.Ezzinbi et 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).
pdf Downlaod

M.Adimy, H.Bouzahir et K.Ezzinbi. Local existene and stability for some partial functional differential equations with infinite delay. Nonlinear Analysis, TMA, 48A (3), 323-348 (2002).
pdf Downlaod

M.Adimy, K.Ezzinbi et K.Laklach. Specytral decomposition for parial neutral functional differential equations. Canad. Appl. Math. Quart., 9 (1), 1-34 (2001).
pdf Downlaod

M.Adimy, H.Bouzahir et K.Ezzinbi. Existence for a class of partial functional differential equations with infinite delay. Nonlinear Analysis, TMA, 46A (1), 91-112 (2001).
pdf Downlaod

M.Adimy, K.Ezzinbi et K.Laklach. Existence of solution for a class of partial neutral differential equtations. C.R. Acad. Sci. Paris, 330, 957-962 (2000).
pdf Downlaod

M.Adimy et 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).

M.Adimy et K.Ezzinbi. Strict solutions of nonlinear hyperbolic neutral differential equations. Applied Mathematics Letters, 12, p. 107-112, (1999).
pdf Downlaod

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

M.Adimy et K.Ezzinbi. A Class of Linear Partial Neutral Functional differential Equations with Non-Dense Domain. Journal of Differential Equations, 147, p. 285-332, (1998).
pdf Downlaod

M.Adimy et K.Ezzinbi. Semi-groupes intégrés et équations à retard en dimension infinie. C. R. Acad. Sci. Paris, t. 323, Série I, 481-486, (1996).

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

M.Adimy. Integrated semigroups and delay differential equations. J. of Math. Anal. and Appl., 177, No.1, 125-134, (1993).
pdf Downlaod

M.Adimy et 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).

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

K.Ezzinbi et 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).
pdf Downlaod

M.Adimy et K.Ezzinbi. Existence, regularity, stability and boudedness for some partial functional differential equations . Société Mathématique de France (in press 2007).
pdf Downlaod

M.Adimy et 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).

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).

M.Adimy et 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).
 



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