Edit Profile (opens in new tab) Arino, Ovide (b. 1947 d. 2003) Co-Author Distance Author ID: arino.ovide Published as: Arino, O.; Arino, Ovide; Arino, O. A. more...less External Links: MacTutor · MGP · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 153 Publications since 1975, including 1 Book 5 Contributions as Editor Reviewing Activity: 67 Reviews Biographic References: 2 Publications Co-Authors: 87 Co-Authors with 149 Joint Publications 1,364 Co-Co-Authors all top 5 Co-Authors 6 single-authored 18 Kimmel, Marek 16 Sánchez, Eva 9 Ait Dads, El Hadi 9 Gyori, Istvan 9 Hbid, Moulay Lhassan 6 Ezzinbi, Khalil 6 Seguier, Pierre 5 Chérif, A. Aziz 4 Bravo de la Parra, Rafael 4 Pituk, Mihály 3 Adioui, M. 3 Bachar, Mostafa 3 Ben M’Barek, Abdellabif 3 Benkhalti, Rachid 3 Benouaz, Tayeb 3 Boushaba, Khalid 3 Boussouar, Ahmed 3 Chattopadhyay, Joydev 3 Delode, Claude 3 El Saadi, Nadjia 3 Gautier, Serge 3 Khouk, Kacem 3 Mortabit, Abdessamad 3 Penot, Jean-Paul 3 Smith, William V. 2 Ait Babram, M. 2 Auger, Pierre M. 2 Axelrod, David E. 2 Bertuzzi, Alessandro 2 Burton, Theodore Allen 2 De Gaetano, Andrea 2 El Abdllaoui, Abderrahim 2 El Attar, M. A. 2 Gandolfi, Alberto 2 Haddock, John R. 2 Lakmeche, Abdelkader 2 Niri, Khadija 2 Sidki, Omar 2 Sinisgalli, Carmela 2 Webb, Glenn Francis 1 Adimy, Mostafa 1 Aitdads, E. 1 Alaoui, Larbi 1 Arditi, Roger 1 Bahaj, Mohamed 1 Bekkal-Brikci, Fadia 1 Berboucha, Ahmed 1 Bobrowski, Adam 1 Bouguima, Sidi Mohamed 1 Bourad, F. 1 Bouvard, Fawzia 1 Bouzinab, A. 1 Chakraborty, Ranajit 1 De La Parra, R. Bravo 1 Delgado, Manuel 1 El Massoud, Mostafa 1 Fathallah, Ashraf 1 Fathallah, Asraf 1 Ferreira, José Manuel 1 Genet, Jean 1 Guessab, Allal 1 Hanebaly, Elaidi 1 Haourigui, E. 1 Hassani, Nacer 1 Hbid, My Lhassan 1 Jawhari, A. 1 Jost, Christian 1 Khaladi, Mohamed 1 Krisztin, Tibor 1 Ladas, Gerasimos E. 1 Louihi, M. 1 Magal, Pierre 1 Mikram, Jilali 1 Milovanović, Gradimir V. 1 Molina-Becerra, Mónica 1 Montero-Sánchez, Juan-Aurelio 1 Mukhopadhyay, Amitava 1 Nosov, Valerij R. 1 Ouifki, Rachid 1 Pardo, Olivier 1 Portet, Stéphanie 1 Schoëvaërt, Damien 1 Sficas, Yiannis G. 1 Treuil, J. P. 1 Vassy, Jany 1 Yebdri, Mustapha 1 Zerner, Martin all top 5 Serials 15 Journal of Mathematical Analysis and Applications 9 Journal of Differential Equations 7 Differential Equations and Dynamical Systems 6 Facta Universitatis. Series Mathematics and Informatics 6 Comptes Rendus de l’Académie des Sciences. Série I 6 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 6 Nonlinear Analysis. Theory, Methods & Applications 5 Differential and Integral Equations 4 Journal of Mathematical Biology 4 Mathematical Biosciences 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Computers & Mathematics with Applications 3 Funkcialaj Ekvacioj. Serio Internacia 3 Applied Mathematics and Computer Science 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Applied Mathematics 3 Natural Resource Modeling 3 Nonlinear Analysis. Real World Applications 3 Discrete and Continuous Dynamical Systems. Series B 2 Applicable Analysis 2 Mathematical and Computer Modelling 2 Dynamics of Continuous, Discrete and Impulsive Systems 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Nonlinearity 1 Bulletin of Mathematical Biology 1 Applied Mathematics and Computation 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Portugaliae Mathematica 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Semigroup Forum 1 Mathematical Modelling 1 Radovi Matematički 1 Northeastern Mathematical Journal 1 Acta Mathematica Universitatis Comenianae. New Series 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Systems Science 1 Journal of Dynamics and Differential Equations 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Studies 1 Journal of Theoretical Medicine 1 Journal of Biological Systems 1 Cubo Matemática Educacional 1 Communications on Pure and Applied Analysis 1 Lecture Notes in Pure and Applied Mathematics 1 Series in Mathematical Biology and Medicine 1 NATO Science Series II: Mathematics, Physics and Chemistry 1 Pacific-Asian Journal of Mathematics 1 Journal of Theoretical Biology all top 5 Fields 105 Ordinary differential equations (34-XX) 64 Biology and other natural sciences (92-XX) 25 Operator theory (47-XX) 18 Partial differential equations (35-XX) 15 Integral equations (45-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 General and overarching topics; collections (00-XX) 5 Probability theory and stochastic processes (60-XX) 5 Numerical analysis (65-XX) 4 Measure and integration (28-XX) 3 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 General topology (54-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 111 Publications have been cited 1,641 times in 1,334 Documents Cited by ▼ Year ▼ A predator-prey model with disease in the prey. Zbl 0922.34036Chattopadhyay, J.; Arino, O. 209 1999 Bifurcation of non trivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment. Zbl 1011.34031Lakmeche, Abdelkader; Arino, Ovide 171 2000 About deterministic extinction in ratio-dependent predator-prey models. Zbl 1323.92173Jost, Christian; Arino, Ovide; Arditi, Roger 118 1999 A fixed point theorem for sequentially continuous mappings with application to ordinary differential equations. Zbl 0599.34008Arino, O.; Gautier, S.; Penot, J. P. 75 1984 Mathematical modelling of the intravenous glucose tolerance test. Zbl 0999.92016De Gaetano, Andrea; Arino, Ovide 70 2000 Pseudo-almost-periodic solutions for some differential equations in a Banach space. Zbl 0874.34041Ait, Dads E.; Ezzinbi, K.; Arino, O. 63 1997 Exponential dichotomy and existence of pseudo almost-periodic solutions of some differential equations. Zbl 0855.34055Ait Dads, E.; Arino, O. 53 1996 Oscillation criteria in delay equations. Zbl 0547.34060Arino, O.; Györi, I.; Jawhari, A. 44 1984 Infection in prey population may act as a biological control in ratio-dependent predator-prey models. Zbl 1062.34050Arino, O.; El Abdllaoui, A.; Mikram, J.; Chattopadhyay, J. 39 2004 The two-dimensional attractor of a differential equation with state-dependent delay. Zbl 1016.34075Krisztin, Tibor; Arino, Ovide 37 2001 Delay differential equations and applications. Proceedings of the NATO Advanced Study Institute, Marrakech, Morocco, September 9–21, 2002. Zbl 1116.34002 37 2006 More on linear differential systems with small delays. Zbl 0989.34053Arino, Ovide; Pituk, Mihály 34 2001 Periodic solutions to functional differential equations. Zbl 0582.34077Arino, O. A.; Burton, T. A.; Haddock, J. R. 33 1985 A mathematical model of growth of population of fish in the larval stage: Density-dependence effects. Zbl 0938.92028Arino, Ovide; Hbid, My Lhassan; Bravo de la Parra, Rafael 32 1998 Necessary and sufficient conditions for asynchronous exponential growth in age structured cell populations with quiescence. Zbl 0886.92020Arino, O.; Sánchez, E.; Webb, G. F. 29 1997 Nonlinear mathematical model of pulsed-therapy of heterogeneous tumors. Zbl 0982.92016Lakmeche, Abdelkader; Arino, Ovide 29 2001 Stability analysis of models of cell production systems. Zbl 0609.92018Arino, Ovide; Kimmel, Marek 26 1986 Necessary and sufficient condition for oscillation of a neutral differential system with several delays. Zbl 0691.34054Arino, O.; Györi, I. 25 1989 Asymptotic analysis of a cell cycle model based on unequal division. Zbl 0632.92015Arino, Ovide; Kimmel, Marek 21 1987 Existence of periodic solutions for a state dependent delay differential equation. Zbl 0977.34067Magal, P.; Arino, O. 20 2000 A mathematical model of the dynamics of the phytoplankton-nutrient system. Zbl 0984.92032Arino, Ovide; Boushaba, Khalid; Boussouar, Ahmed 20 2000 Modeling the intra-venous glucose tolerance test: A global study for a single-distributed-delay model. Zbl 1070.34110Mukhopadhyay, Amitava; De Gaetano, Andrea; Arino, Ovide 19 2004 Optimal control of a nonlinear elliptic population system. Zbl 0944.35010Arino, Ovide; Montero-Sánchez, Juan-Aurelio 15 2000 About the behaviour at infinity of solutions of \(x'(t)=f(t-1,x(t-1))-f(t,x(t))\). Zbl 0527.34066Arino, O.; Seguier, P. 13 1983 Semigroup properties and the Crandall Liggett approximation for a class of differential equations with state-dependent delays. Zbl 1006.34061Louihi, M.; Hbid, M. L.; Arino, O. 13 2002 Comparisons, by models, of some basic mechanisms acting on the dynamics of the zooplankton-toxic phytoplankton system. Zbl 1056.92057El Abdllaoui, A.; Chattopadhyay, J.; Arino, Ovide 13 2002 Convergence in asymptotically autonomous functional differential equations. Zbl 0936.34064Arino, Ovide; Pituk, Mihály 13 1999 State-dependent delay differential equations in population dynamics: Modeling and analysis. Zbl 1002.34073Arino, Ovide; Sánchez, Eva; Fathallah, Ashraf 13 2001 On the asymptotic behavior of solutions of some delay differential systems which have a first integral. Zbl 0614.34063Arino, O.; Haourigui, E. 12 1987 Some spectral properties for the asymptotic behavior of semigroups connected to population dynamics. Zbl 0763.92008Arino, O. 12 1992 A singular perturbation in an age-structured population model. Zbl 0991.92037Arino, Ovide; Sánchez, Eva; Bravo de la Parra, Rafael; Auger, Pierre 12 2000 On oscillations of some retarded differential equations. Zbl 0566.34053Arino, O.; Ladas, G.; Sficas, Y. G. 11 1987 Asymptotic behavior of a nonlinear functional-integral equation of cell kinetics with unequal division. Zbl 0715.92011Arino, O.; Kimmel, M. 11 1989 Asymptotically diagonal delay differential systems. Zbl 0876.34078Arino, O.; Györi, I.; Pituk, M. 11 1996 Asymptotic integration of delay differential systems. Zbl 0681.34067Arino, O.; Györi, I. 10 1989 Linear theory of abstract functional differential equations of retarded type. Zbl 0821.34074Arino, Ovide; Sanchez, Eva 10 1995 Polynomial growth dynamics of telomere loss in a heterogeneous cell population. Zbl 0908.92025Arino, O.; Sánchez, E.; Webb, G. F. 10 1997 Migration in age structured population dynamics. Zbl 0936.92030Arino, O.; Smith, W. V. 10 1998 Comparison of approaches to modeling of cell population dynamics. Zbl 0796.92019Arino, Ovide; Kimmel, Marek 9 1993 The asynchronous exponential growth property in a model for the kinetic heterogeneity of tumour cell populations. Zbl 1084.92020Arino, O.; Bertuzzi, A.; Gandolfi, A.; Sánchez, E.; Sinisgalli, C. 9 2005 Approximation scheme of a center manifold for functional differential equations. Zbl 0896.34061Ait Babram, M.; Hbid, M. L.; Arino, O. 8 1997 A variation of constants formula for an abstract functional differential equation of retarded type. Zbl 0879.34072Arino, O.; Sánchez, E. 7 1996 Computational scheme of a center manifold for neutral functional differential equations. Zbl 0982.65082Babram, M. Ait; Arino, O.; Hbid, M. L. 7 2001 A model for an age-structured population with two time scales. Zbl 1043.92519Bravo de la Parra, R.; Arino, O.; Sánchez, E.; Auger, P. 7 2000 On the asymptotic behavior of the solutions of a class of scalar neutral equations generating a monotone semi-flow. Zbl 0711.34097Arino, O.; Bourad, F. 6 1990 Solutions presque périodiques de: \((dx/dt)+\| x\| ^{\alpha}x=h(t)(\alpha \gg 0)\) sur les espace de Banach. (Almost- periodic solutions of: \((dx/dt)+\| x\| ^{\alpha}x=h(t)(\alpha \gg 0)\) in Banach spaces). Zbl 0658.34036Arino, Ovide; Hanebaly, Elaïdi 6 1988 A note on “The discrete Lyapunov function…”. Zbl 0781.34048Arino, O. 6 1993 Analysis of a cell population model with unequal division and random transition. Zbl 0779.92012Arino, Ovide; Kimmel, Marek; Zerner, Martin 6 1991 A semigroup representation and asymptotic behavior of certain statistics of the Fisher-Wright-Moran coalescent. Zbl 1004.92026Bobrowski, Adam; Kimmel, Marek; Arino, Ovide; Chakraborty, Ranajit 6 2001 An iterative method for functional differential equations. Zbl 1071.34064Yebdri, Mustapha; Bouguima, Sidi Mohammed; Arino, Ovide 6 2005 A survey of cell population dynamics. Zbl 0964.92506Arino, O.; Sánchez, E. 6 1997 A model of an age-structured population in a multipatch environment. Zbl 1185.35115Arino, O.; Sánchez, E.; De La Parra, R. Bravo 6 1998 A theory of linear delay differential equations in infinite dimensional spaces. Zbl 1130.34054Arino, O.; Sánchez, E. 5 2006 A model with ‘growth retardation’ for the kinetic heterogeneity of tumour cell populations. Zbl 1114.92036Arino, O.; Bertuzzi, A.; Gandolfi, A.; Sánchez, E.; Sinisgalli, C. 5 2007 More on ordinary differential equations which yield periodic solutions of delay differential equations. Zbl 0798.34067Arino, O.; Cherif, A. A. 5 1993 Monotone semi-flows which have a monotone first integral. Zbl 0742.34061Arino, Ovide 5 1991 On the existence and uniqueness for an age-dependent population model with nonlinear growth. Zbl 0845.35004Bouzinab, A.; Arino, O. 5 1993 Positive almost periodic solution for some nonlinear delay integral equation. Zbl 0858.45003Dads, Ait; Ezzinbi, K.; Arino, O. 5 1996 A saddle point theorem for functional state-dependent delay differential equations. Zbl 1085.34063Arino, Ovide; Sánchez, Eva 5 2005 Determination of the stability of a nonlinear ordinary differential equation by least square approximation. Computational procedure. Zbl 0823.34053Benouaz, Tayeb; Arino, Ovide 5 1995 Existence results for initial value problems for neutral functional differential equations. Zbl 0882.34076Arino, O.; Benkhalti, R.; Ezzinbi, K. 5 1997 Compactness and spectral properties for positive translation semigroups associated to models of populations dynamics. Zbl 0782.92012Alaoui, L.; Arino, O. 4 1993 Hopf global bifurcation for retarded equations using integrated semigroups. (Bifurcation de Hopf globale pour des équations à retard par des semi- groupes intégrés.) Zbl 0783.34054Adimy, Mostafa; Arino, Ovide 4 1993 Nonlinear age structured model with cannibalism. Zbl 1128.92028Bekkal-Brikci, Fadia; Boushaba, Khalid; Arino, Ovide 4 2007 Asymptotic behaviour of nonlinear semigroup describing a model of selective cell growth regulation. Zbl 0728.92010Arino, O.; Kimmel, M. 4 1991 Cell cycle kinetics with supramitotic control, two cell types, and unequal division: A model of transformed embryonic cells. Zbl 0731.92003Kimmel, Marek; Arino, Ovide 4 1991 Poincaré procedure for an ordinary differential system perturbed by a functional term. Zbl 0868.34037Arino, O.; Hbid, M. L. 4 1994 A mathematical model for phytoplankton. Zbl 1026.92049Boushaba, Khalid; Arino, Ovide; Boussouar, Ahmed 4 2002 Qualitative properties of the solutions of a delay differential equation with impulses. I: Stability. Zbl 0982.34063Arino, O.; Győri, I. 4 1999 Periodic and almost-periodic results for some differential equations in Banach spaces. Zbl 0918.34061Ait Dads, E.; Ezzinbi, K.; Arino, O. 4 1998 A nonlocal model of phytoplankton aggregation. Zbl 1077.35059Adioui, M.; Arino, O.; El Saadi, N. 4 2005 Un résultat sur le comportement asymptotique des solutions de systèmes dynamiques monotones. (On the asymptotic behaviour of the solutions of certain order preserving dynamical systems). Zbl 0651.58033Arino, Ovide; Bouvard, Fawzia; Hassani, Nacer 3 1988 Periodic solutions for retarded differential systems close to ordinary ones. Zbl 0687.34060Arino, O.; Hbid, M. L. 3 1990 Asymptotic behavior of disease-free equilibriums of an age-structured predator-prey model with disease in the prey. Zbl 1103.92032Arino, Ovide; Delgado, Manuel; Molina-Becerra, Mónica 3 2004 Least square approximation of a nonlinear ordinary differential equation. Zbl 0855.65066Benouaz, T.; Arino, O. 3 1996 An abstract neutral functional differential equation arising from a cell population model. Zbl 0949.34064Arino, O.; Sidki, O. 3 1999 An integral equation of cell population dynamics formulated as an abstract delay equation — some consequences. Zbl 0944.92004Arino, Ovide; Sánchez, Eva 3 1998 A mathematical analysis of a fish school model. Zbl 1028.34053Adioui, M.; Arino, O.; Smith, W. V.; Treuil, J. P. 3 2003 Attractiveness and Hopf bifurcation for retarded differential equations. Zbl 1039.34065Ouifki, R.; Hbid, M. L.; Arino, O. 3 2003 Champs mesurables et multisections. Zbl 0348.54009Delode, C.; Arino, O.; Penot, J.-P. 3 1976 Asymptotic analysis of a functional-integral equation related to cell population kinetics. Zbl 0579.92010Arino, Ovide; Kimmel, Marek 2 1985 Periodic solutions for: \(\dot x(t)=\lambda f(x(t),x(t-1))\). Zbl 0652.34046Arino, O.; Benkhalti, R. 2 1988 Oscillations in vector spaces: A comparison result for monotone delay differential systems. Zbl 0735.34049Arino, Ovide; Niri, Khadija 2 1991 Existence of oscillating solutions for certain differential equations with delay. Zbl 0422.34079Arino, O.; Seguier, P. 2 1979 An exact formula for the branch of period-4-solutions of \(\dot x=-\lambda f(x(t-1))\) which bifurcates at \(\lambda =\pi/2\). Zbl 0723.34052Arino, O.; Chérif, A. A. 2 1989 Slow oscillations in a model of cell population dynamics. Zbl 0774.92013Arino, Ovide; Mortabit, Abdessamad 2 1991 Existence of periodic solutions for a delay differential equation via the Poincaré procedure. Zbl 0867.34059Arino, Ovide; Hbid, Moulay Lhassan 2 1996 Delays induced in population dynamics. Zbl 1061.34060Arino, Ovide; Sánchez, Eva 2 2004 On stability of a class of neutral type functional differential equations. Zbl 1017.34502Arino, Ovide; Nosov, Valery R. 2 1998 Estimation of the rate of convergence of semigroups to an asynchronous equilibrium. Zbl 0972.47028Khaladi, M.; Arino, O. 2 2000 Asymptotic integration of functional differential systems which are asymptotically autonomous. Zbl 0539.34052Arino, O.; Györi, I. 1 1983 Stability results based on Gronwall type inequalities for some functional differential systems. Zbl 0624.34065Arino, O.; Györi, I. 1 1987 Total oscillatory behaviour globally in the delays. Zbl 0668.34068Arino, O.; Ferreira, José M. 1 1989 A nonlinear delay differential equation whose solutions are asymptotically sums of periodic functions. Zbl 0685.34074Aitdads, E.; Arino, O. 1 1989 A stochastic partial differential equation for phytoplankton aggregation. Zbl 1146.60048El Saadi, N.; Arino, O. 1 2007 Comportement des solutions de x’(t)+f(t,x(t))=f((t-1),x(t-1)). Zbl 0417.34062Arino, Ovide; Seguier, Pierre 1 1979 Quelques résultats de comportement des solutions d’une classe d’équations différentielles à argument retarde. Zbl 0484.34046Arino, O.; Seguier, P. 1 1980 Integrated semigroup and linear ordinary differential equation with impulses. Zbl 1171.34303Bachar, M.; Arino, O. 1 2003 Noncompact semigroups of operators generated by cell kinetics models. Zbl 0731.47043Sanchez, Eva; Arino, Ovide; Kimmel, Marek 1 1991 Integrated semigroup associated to a linear delay differential equation with impulses. Zbl 1174.34504Bachar, M.; Arino, O. 1 2004 A model with ‘growth retardation’ for the kinetic heterogeneity of tumour cell populations. Zbl 1114.92036Arino, O.; Bertuzzi, A.; Gandolfi, A.; Sánchez, E.; Sinisgalli, C. 5 2007 Nonlinear age structured model with cannibalism. Zbl 1128.92028Bekkal-Brikci, Fadia; Boushaba, Khalid; Arino, Ovide 4 2007 A stochastic partial differential equation for phytoplankton aggregation. Zbl 1146.60048El Saadi, N.; Arino, O. 1 2007 Delay differential equations and applications. Proceedings of the NATO Advanced Study Institute, Marrakech, Morocco, September 9–21, 2002. Zbl 1116.34002 37 2006 A theory of linear delay differential equations in infinite dimensional spaces. Zbl 1130.34054Arino, O.; Sánchez, E. 5 2006 The asynchronous exponential growth property in a model for the kinetic heterogeneity of tumour cell populations. Zbl 1084.92020Arino, O.; Bertuzzi, A.; Gandolfi, A.; Sánchez, E.; Sinisgalli, C. 9 2005 An iterative method for functional differential equations. Zbl 1071.34064Yebdri, Mustapha; Bouguima, Sidi Mohammed; Arino, Ovide 6 2005 A saddle point theorem for functional state-dependent delay differential equations. Zbl 1085.34063Arino, Ovide; Sánchez, Eva 5 2005 A nonlocal model of phytoplankton aggregation. Zbl 1077.35059Adioui, M.; Arino, O.; El Saadi, N. 4 2005 Infection in prey population may act as a biological control in ratio-dependent predator-prey models. Zbl 1062.34050Arino, O.; El Abdllaoui, A.; Mikram, J.; Chattopadhyay, J. 39 2004 Modeling the intra-venous glucose tolerance test: A global study for a single-distributed-delay model. Zbl 1070.34110Mukhopadhyay, Amitava; De Gaetano, Andrea; Arino, Ovide 19 2004 Asymptotic behavior of disease-free equilibriums of an age-structured predator-prey model with disease in the prey. Zbl 1103.92032Arino, Ovide; Delgado, Manuel; Molina-Becerra, Mónica 3 2004 Delays induced in population dynamics. Zbl 1061.34060Arino, Ovide; Sánchez, Eva 2 2004 Integrated semigroup associated to a linear delay differential equation with impulses. Zbl 1174.34504Bachar, M.; Arino, O. 1 2004 A mathematical analysis of a fish school model. Zbl 1028.34053Adioui, M.; Arino, O.; Smith, W. V.; Treuil, J. P. 3 2003 Attractiveness and Hopf bifurcation for retarded differential equations. Zbl 1039.34065Ouifki, R.; Hbid, M. L.; Arino, O. 3 2003 Integrated semigroup and linear ordinary differential equation with impulses. Zbl 1171.34303Bachar, M.; Arino, O. 1 2003 A generalization of a theorem due to Cartwright. (Une généralisation du théorème de Cartwright.) Zbl 1098.34060Arino, Ovide; Berboucha, Ahmed 1 2003 Stability of a general linear delay-differential equation with impulses. Zbl 1070.34094Bachar, M.; Arino, O. 1 2003 Semigroup properties and the Crandall Liggett approximation for a class of differential equations with state-dependent delays. Zbl 1006.34061Louihi, M.; Hbid, M. L.; Arino, O. 13 2002 Comparisons, by models, of some basic mechanisms acting on the dynamics of the zooplankton-toxic phytoplankton system. Zbl 1056.92057El Abdllaoui, A.; Chattopadhyay, J.; Arino, Ovide 13 2002 A mathematical model for phytoplankton. Zbl 1026.92049Boushaba, Khalid; Arino, Ovide; Boussouar, Ahmed 4 2002 The two-dimensional attractor of a differential equation with state-dependent delay. Zbl 1016.34075Krisztin, Tibor; Arino, Ovide 37 2001 More on linear differential systems with small delays. Zbl 0989.34053Arino, Ovide; Pituk, Mihály 34 2001 Nonlinear mathematical model of pulsed-therapy of heterogeneous tumors. Zbl 0982.92016Lakmeche, Abdelkader; Arino, Ovide 29 2001 State-dependent delay differential equations in population dynamics: Modeling and analysis. Zbl 1002.34073Arino, Ovide; Sánchez, Eva; Fathallah, Ashraf 13 2001 Computational scheme of a center manifold for neutral functional differential equations. Zbl 0982.65082Babram, M. Ait; Arino, O.; Hbid, M. L. 7 2001 A semigroup representation and asymptotic behavior of certain statistics of the Fisher-Wright-Moran coalescent. Zbl 1004.92026Bobrowski, Adam; Kimmel, Marek; Arino, Ovide; Chakraborty, Ranajit 6 2001 Bifurcation of non trivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment. Zbl 1011.34031Lakmeche, Abdelkader; Arino, Ovide 171 2000 Mathematical modelling of the intravenous glucose tolerance test. Zbl 0999.92016De Gaetano, Andrea; Arino, Ovide 70 2000 Existence of periodic solutions for a state dependent delay differential equation. Zbl 0977.34067Magal, P.; Arino, O. 20 2000 A mathematical model of the dynamics of the phytoplankton-nutrient system. Zbl 0984.92032Arino, Ovide; Boushaba, Khalid; Boussouar, Ahmed 20 2000 Optimal control of a nonlinear elliptic population system. Zbl 0944.35010Arino, Ovide; Montero-Sánchez, Juan-Aurelio 15 2000 A singular perturbation in an age-structured population model. Zbl 0991.92037Arino, Ovide; Sánchez, Eva; Bravo de la Parra, Rafael; Auger, Pierre 12 2000 A model for an age-structured population with two time scales. Zbl 1043.92519Bravo de la Parra, R.; Arino, O.; Sánchez, E.; Auger, P. 7 2000 Estimation of the rate of convergence of semigroups to an asynchronous equilibrium. Zbl 0972.47028Khaladi, M.; Arino, O. 2 2000 A predator-prey model with disease in the prey. Zbl 0922.34036Chattopadhyay, J.; Arino, O. 209 1999 About deterministic extinction in ratio-dependent predator-prey models. Zbl 1323.92173Jost, Christian; Arino, Ovide; Arditi, Roger 118 1999 Convergence in asymptotically autonomous functional differential equations. Zbl 0936.34064Arino, Ovide; Pituk, Mihály 13 1999 Qualitative properties of the solutions of a delay differential equation with impulses. I: Stability. Zbl 0982.34063Arino, O.; Győri, I. 4 1999 An abstract neutral functional differential equation arising from a cell population model. Zbl 0949.34064Arino, O.; Sidki, O. 3 1999 Qualitative properties of the solutions of a delay differential equation with impulses. II: Oscillations. Zbl 0989.34054Arino, O.; Győri, I. 1 1999 A mathematical model of growth of population of fish in the larval stage: Density-dependence effects. Zbl 0938.92028Arino, Ovide; Hbid, My Lhassan; Bravo de la Parra, Rafael 32 1998 Migration in age structured population dynamics. Zbl 0936.92030Arino, O.; Smith, W. V. 10 1998 A model of an age-structured population in a multipatch environment. Zbl 1185.35115Arino, O.; Sánchez, E.; De La Parra, R. Bravo 6 1998 Periodic and almost-periodic results for some differential equations in Banach spaces. Zbl 0918.34061Ait Dads, E.; Ezzinbi, K.; Arino, O. 4 1998 An integral equation of cell population dynamics formulated as an abstract delay equation — some consequences. Zbl 0944.92004Arino, Ovide; Sánchez, Eva 3 1998 On stability of a class of neutral type functional differential equations. Zbl 1017.34502Arino, Ovide; Nosov, Valery R. 2 1998 Optimal approximation of the initial value problem. Zbl 0944.34001Benouaz, T.; Arino, O. 1 1998 Pseudo-almost-periodic solutions for some differential equations in a Banach space. Zbl 0874.34041Ait, Dads E.; Ezzinbi, K.; Arino, O. 63 1997 Necessary and sufficient conditions for asynchronous exponential growth in age structured cell populations with quiescence. Zbl 0886.92020Arino, O.; Sánchez, E.; Webb, G. F. 29 1997 Polynomial growth dynamics of telomere loss in a heterogeneous cell population. Zbl 0908.92025Arino, O.; Sánchez, E.; Webb, G. F. 10 1997 Approximation scheme of a center manifold for functional differential equations. Zbl 0896.34061Ait Babram, M.; Hbid, M. L.; Arino, O. 8 1997 A survey of cell population dynamics. Zbl 0964.92506Arino, O.; Sánchez, E. 6 1997 Existence results for initial value problems for neutral functional differential equations. Zbl 0882.34076Arino, O.; Benkhalti, R.; Ezzinbi, K. 5 1997 Advances in mathematical population dynamics - molecules, cells and man. Papers from the 4th international conference, Rice Univ., Houston, TX, USA, May 23–27, 1995. Zbl 0907.00046 1 1997 On a model representing stage-structured population growth with state-dependent time delay. Zbl 0971.92510Fathallah, Asraf; Arino, Ovide 1 1997 Exponential dichotomy and existence of pseudo almost-periodic solutions of some differential equations. Zbl 0855.34055Ait Dads, E.; Arino, O. 53 1996 Asymptotically diagonal delay differential systems. Zbl 0876.34078Arino, O.; Györi, I.; Pituk, M. 11 1996 A variation of constants formula for an abstract functional differential equation of retarded type. Zbl 0879.34072Arino, O.; Sánchez, E. 7 1996 Positive almost periodic solution for some nonlinear delay integral equation. Zbl 0858.45003Dads, Ait; Ezzinbi, K.; Arino, O. 5 1996 Least square approximation of a nonlinear ordinary differential equation. Zbl 0855.65066Benouaz, T.; Arino, O. 3 1996 Existence of periodic solutions for a delay differential equation via the Poincaré procedure. Zbl 0867.34059Arino, Ovide; Hbid, Moulay Lhassan 2 1996 Periodic and almost periodic solutions of differential equations in Banach spaces. Zbl 0841.34046Arino, O.; Bahaj, M. 1 1996 Subdominant behavior in positive semigroups. The case of a class of delay differential equations. Zbl 0873.34059Arino, O.; Niri, K. 1 1996 Existence of periodic solution for some neutral nonlinear integral equation with delay time dependent. Zbl 0887.45008Ait Dads, E.; Ezzinbi, K.; Arino, O. 1 1996 Linear theory of abstract functional differential equations of retarded type. Zbl 0821.34074Arino, Ovide; Sanchez, Eva 10 1995 Determination of the stability of a nonlinear ordinary differential equation by least square approximation. Computational procedure. Zbl 0823.34053Benouaz, Tayeb; Arino, Ovide 5 1995 Poincaré procedure for an ordinary differential system perturbed by a functional term. Zbl 0868.34037Arino, O.; Hbid, M. L. 4 1994 Comparison of approaches to modeling of cell population dynamics. Zbl 0796.92019Arino, Ovide; Kimmel, Marek 9 1993 A note on “The discrete Lyapunov function…”. Zbl 0781.34048Arino, O. 6 1993 More on ordinary differential equations which yield periodic solutions of delay differential equations. Zbl 0798.34067Arino, O.; Cherif, A. A. 5 1993 On the existence and uniqueness for an age-dependent population model with nonlinear growth. Zbl 0845.35004Bouzinab, A.; Arino, O. 5 1993 Compactness and spectral properties for positive translation semigroups associated to models of populations dynamics. Zbl 0782.92012Alaoui, L.; Arino, O. 4 1993 Hopf global bifurcation for retarded equations using integrated semigroups. (Bifurcation de Hopf globale pour des équations à retard par des semi- groupes intégrés.) Zbl 0783.34054Adimy, Mostafa; Arino, Ovide 4 1993 Some spectral properties for the asymptotic behavior of semigroups connected to population dynamics. Zbl 0763.92008Arino, O. 12 1992 Analysis of a cell population model with unequal division and random transition. Zbl 0779.92012Arino, Ovide; Kimmel, Marek; Zerner, Martin 6 1991 Monotone semi-flows which have a monotone first integral. Zbl 0742.34061Arino, Ovide 5 1991 Asymptotic behaviour of nonlinear semigroup describing a model of selective cell growth regulation. Zbl 0728.92010Arino, O.; Kimmel, M. 4 1991 Cell cycle kinetics with supramitotic control, two cell types, and unequal division: A model of transformed embryonic cells. Zbl 0731.92003Kimmel, Marek; Arino, Ovide 4 1991 Oscillations in vector spaces: A comparison result for monotone delay differential systems. Zbl 0735.34049Arino, Ovide; Niri, Khadija 2 1991 Slow oscillations in a model of cell population dynamics. Zbl 0774.92013Arino, Ovide; Mortabit, Abdessamad 2 1991 Noncompact semigroups of operators generated by cell kinetics models. Zbl 0731.47043Sanchez, Eva; Arino, Ovide; Kimmel, Marek 1 1991 Mathematical population dynamics. Proceedings of the second international conference, held May 17-20, 1989, at Rutgers University, New Brunswick, NJ, USA. Zbl 0742.00058 1 1991 On the asymptotic behavior of the solutions of a class of scalar neutral equations generating a monotone semi-flow. Zbl 0711.34097Arino, O.; Bourad, F. 6 1990 Periodic solutions for retarded differential systems close to ordinary ones. Zbl 0687.34060Arino, O.; Hbid, M. L. 3 1990 Necessary and sufficient condition for oscillation of a neutral differential system with several delays. Zbl 0691.34054Arino, O.; Györi, I. 25 1989 Asymptotic behavior of a nonlinear functional-integral equation of cell kinetics with unequal division. Zbl 0715.92011Arino, O.; Kimmel, M. 11 1989 Asymptotic integration of delay differential systems. Zbl 0681.34067Arino, O.; Györi, I. 10 1989 An exact formula for the branch of period-4-solutions of \(\dot x=-\lambda f(x(t-1))\) which bifurcates at \(\lambda =\pi/2\). Zbl 0723.34052Arino, O.; Chérif, A. A. 2 1989 Total oscillatory behaviour globally in the delays. Zbl 0668.34068Arino, O.; Ferreira, José M. 1 1989 A nonlinear delay differential equation whose solutions are asymptotically sums of periodic functions. Zbl 0685.34074Aitdads, E.; Arino, O. 1 1989 Solutions presque périodiques de: \((dx/dt)+\| x\| ^{\alpha}x=h(t)(\alpha \gg 0)\) sur les espace de Banach. (Almost- periodic solutions of: \((dx/dt)+\| x\| ^{\alpha}x=h(t)(\alpha \gg 0)\) in Banach spaces). Zbl 0658.34036Arino, Ovide; Hanebaly, Elaïdi 6 1988 Un résultat sur le comportement asymptotique des solutions de systèmes dynamiques monotones. (On the asymptotic behaviour of the solutions of certain order preserving dynamical systems). Zbl 0651.58033Arino, Ovide; Bouvard, Fawzia; Hassani, Nacer 3 1988 Periodic solutions for: \(\dot x(t)=\lambda f(x(t),x(t-1))\). Zbl 0652.34046Arino, O.; Benkhalti, R. 2 1988 Asymptotic analysis of a cell cycle model based on unequal division. Zbl 0632.92015Arino, Ovide; Kimmel, Marek 21 1987 On the asymptotic behavior of solutions of some delay differential systems which have a first integral. Zbl 0614.34063Arino, O.; Haourigui, E. 12 1987 On oscillations of some retarded differential equations. Zbl 0566.34053Arino, O.; Ladas, G.; Sficas, Y. G. 11 1987 Stability results based on Gronwall type inequalities for some functional differential systems. Zbl 0624.34065Arino, O.; Györi, I. 1 1987 Stability analysis of models of cell production systems. Zbl 0609.92018Arino, Ovide; Kimmel, Marek 26 1986 ...and 11 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,727 Authors 58 Chen, Lansun 33 Arino, Ovide 30 Chattopadhyay, Joydev 27 Ezzinbi, Khalil 17 Diblík, Josef 17 Samanta, Sudip 15 O’Regan, Donal 15 Yuan, Rong 13 Pei, Yongzhen 13 Tang, Sanyi 12 Agarwal, Ravi P. 12 Gyori, Istvan 12 Hbid, Moulay Lhassan 12 Kimmel, Marek 12 Pituk, Mihály 11 Ait Dads, El Hadi 11 Liu, Bing 11 Philos, Christos G. 11 Sánchez, Eva 11 Song, Xinyu 10 Liu, Zhijun 10 Magal, Pierre 10 Ruan, Shigui 10 Venturino, Ezio 10 Webb, Glenn Francis 10 Zhang, Shuwen 9 Bairagi, Nandadulal 9 Cheke, Robert A. 9 Das, Krishnapada 9 Diagana, Toka 9 Jin, Zhen 9 Lv, Yunfei 9 Růžičková, Miroslava 9 Yan, Jurang 8 Ben Amar, Afif 8 Fan, Yonghong 8 Hbid, My Lhassan 8 Li, Jiaxu 8 Rezunenko, Oleksandr V”yacheslavovych 8 Sasmal, Sourav Kumar 8 Sficas, Yiannis G. 8 Stavroulakis, Ioannis P. 8 Wu, Jianhong 8 Xiao, Yanni 8 Xu, Rui 7 Auger, Pierre M. 7 Banasiak, Jacek 7 Biswas, Santanu 7 Cao, Jinde 7 Cui, Jingan 7 Kuang, Yang 7 Ladas, Gerasimos E. 7 Li, Wan-Tong 7 Li, Yongfeng 7 Pinto, Manuel 7 Salem, Hussein A. H. 7 Shi, Xiangyun 7 Taoudi, Mohamed Aziz 7 Teng, Zhi-dong 7 Walther, Hans-Otto 6 Adimy, Mostafa 6 Banerjee, Malay 6 Bhattacharyya, Rakhi 6 Bobrowski, Adam 6 Bravo de la Parra, Rafael 6 Burton, Theodore Allen 6 Chatterjee, Samrat 6 Das, Harekrishna 6 Haque, Mainul 6 Hong, Jialin 6 Jiang, Daqing 6 Mukhopadhyay, Banibrata 6 Obaya, Rafael 6 Pal, Nikhil Ranjan 6 Purnaras, Ioannis K. 6 Shaikh, Absos Ali 6 Wang, Ke 6 Zhang, Chuanyi 6 Zhang, Yujuan 6 Zhao, Zhong 6 Zhou, Xueyong 5 Alvarez-Vázquez, Lino Jose 5 Amiraliyev, Gabil M. 5 Benchohra, Mouffak 5 Bereketoglu, Huseyin 5 Cichoń, Mieczysław 5 Dong, Lingzhen 5 El Saadi, Nadjia 5 Fernández, Francisco Javier 5 Gabriel, Pierre 5 Jiang, Guirong 5 Krichen, Bilel 5 Kumar Upadhyay, Ranjit 5 Lhachimi, Lahcen 5 Liu, Xianning 5 Liu, Zhihua 5 N’Guérékata, Gaston Mandata 5 Nieto Roig, Juan Jose 5 Saifuddin, Mohammad 5 Šutá, Zuzana ...and 1,627 more Authors all top 5 Cited in 234 Serials 104 Journal of Mathematical Analysis and Applications 73 Applied Mathematics and Computation 56 Nonlinear Analysis. 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