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## Arino, Ovide

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 Author ID: arino.ovide Published as: Arino, O.; Arino, O. A.; Arino, Ovide External Links: MGP · Wikidata · dblp · GND · MacTutor
 Documents Indexed: 158 Publications since 1975, including 4 Books Reviewing Activity: 67 Reviews Biographic References: 2 Publications
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#### 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 NATO Science Series II: Mathematics, Physics and Chemistry 1 Pacific-Asian Journal of Mathematics 1 Journal of Theoretical Biology
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#### 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)

#### Citations contained in zbMATH Open

112 Publications have been cited 1,439 times in 1,165 Documents Cited by Year
A predator-prey model with disease in the prey. Zbl 0922.34036
1999
Bifurcation of non trivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment. Zbl 1011.34031
2000
About deterministic extinction in ratio-dependent predator-prey models. Zbl 1323.92173
Jost, Christian; Arino, Ovide; Arditi, Roger
1999
A fixed point theorem for sequentially continuous mappings with application to ordinary differential equations. Zbl 0599.34008
Arino, O.; Gautier, S.; Penot, J. P.
1984
Pseudo-almost-periodic solutions for some differential equations in a Banach space. Zbl 0874.34041
Ait, Dads E.; Ezzinbi, K.; Arino, O.
1997
Exponential dichotomy and existence of pseudo almost-periodic solutions of some differential equations. Zbl 0855.34055
1996
Oscillation criteria in delay equations. Zbl 0547.34060
Arino, O.; Györi, I.; Jawhari, A.
1984
Mathematical modelling of the intravenous glucose tolerance test. Zbl 0999.92016
De Gaetano, Andrea; Arino, Ovide
2000
The two-dimensional attractor of a differential equation with state-dependent delay. Zbl 1016.34075
Krisztin, Tibor; Arino, Ovide
2001
More on linear differential systems with small delays. Zbl 0989.34053
Arino, Ovide; Pituk, Mihály
2001
Periodic solutions to functional differential equations. Zbl 0582.34077
Arino, O. A.; Burton, T. A.; Haddock, J. R.
1985
Infection in prey population may act as a biological control in ratio-dependent predator-prey models. Zbl 1062.34050
Arino, O.; El Abdllaoui, A.; Mikram, J.; Chattopadhyay, J.
2004
A mathematical model of growth of population of fish in the larval stage: Density-dependence effects. Zbl 0938.92028
Arino, Ovide; Hbid, My Lhassan; Bravo de la Parra, Rafael
1998
Necessary and sufficient conditions for asynchronous exponential growth in age structured cell populations with quiescence. Zbl 0886.92020
Arino, O.; Sánchez, E.; Webb, G. F.
1997
Nonlinear mathematical model of pulsed-therapy of heterogeneous tumors. Zbl 0982.92016
2001
Necessary and sufficient condition for oscillation of a neutral differential system with several delays. Zbl 0691.34054
Arino, O.; Györi, I.
1989
Stability analysis of models of cell production systems. Zbl 0609.92018
Arino, Ovide; Kimmel, Marek
1986
A mathematical model of the dynamics of the phytoplankton-nutrient system. Zbl 0984.92032
Arino, Ovide; Boushaba, Khalid; Boussouar, Ahmed
2000
Existence of periodic solutions for a state dependent delay differential equation. Zbl 0977.34067
Magal, P.; Arino, O.
2000
Asymptotic analysis of a cell cycle model based on unequal division. Zbl 0632.92015
Arino, Ovide; Kimmel, Marek
1987
Delay differential equations and applications. Proceedings of the NATO Advanced Study Institute, Marrakech, Morocco, September 9–21, 2002. Zbl 1116.34002
Arino, O. (ed.); Hbid, M. L. (ed.); Dads, E. Ait (ed.)
2006
Optimal control of a nonlinear elliptic population system. Zbl 0944.35010
Arino, Ovide; Montero-Sánchez, Juan-Aurelio
2000
State-dependent delay differential equations in population dynamics: Modeling and analysis. Zbl 1002.34073
Arino, Ovide; Sánchez, Eva; Fathallah, Ashraf
2001
Modeling the intra-venous glucose tolerance test: A global study for a single-distributed-delay model. Zbl 1070.34110
Mukhopadhyay, Amitava; De Gaetano, Andrea; Arino, Ovide
2004
Convergence in asymptotically autonomous functional differential equations. Zbl 0936.34064
Arino, Ovide; Pituk, Mihály
1999
Semigroup properties and the Crandall Liggett approximation for a class of differential equations with state-dependent delays. Zbl 1006.34061
Louihi, M.; Hbid, M. L.; Arino, O.
2002
A singular perturbation in an age-structured population model. Zbl 0991.92037
Arino, Ovide; Sánchez, Eva; Bravo de la Parra, Rafael; Auger, Pierre
2000
On the asymptotic behavior of solutions of some delay differential systems which have a first integral. Zbl 0614.34063
Arino, O.; Haourigui, E.
1987
On oscillations of some retarded differential equations. Zbl 0566.34053
Arino, O.; Ladas, G.; Sficas, Y. G.
1987
About the behaviour at infinity of solutions of $$x'(t)=f(t-1,x(t-1))-f(t,x(t))$$. Zbl 0527.34066
Arino, O.; Seguier, P.
1983
Comparisons, by models, of some basic mechanisms acting on the dynamics of the zooplankton-toxic phytoplankton system. Zbl 1056.92057
El Abdllaoui, A.; Chattopadhyay, J.; Arino, Ovide
2002
Asymptotically diagonal delay differential systems. Zbl 0876.34078
Arino, O.; Györi, I.; Pituk, M.
1996
Some spectral properties for the asymptotic behavior of semigroups connected to population dynamics. Zbl 0763.92008
Arino, O.
1992
Asymptotic behavior of a nonlinear functional-integral equation of cell kinetics with unequal division. Zbl 0715.92011
Arino, O.; Kimmel, M.
1989
Asymptotic integration of delay differential systems. Zbl 0681.34067
Arino, O.; Györi, I.
1989
Migration in age structured population dynamics. Zbl 0936.92030
Arino, O.; Smith, W. V.
1998
Comparison of approaches to modeling of cell population dynamics. Zbl 0796.92019
Arino, Ovide; Kimmel, Marek
1993
Computational scheme of a center manifold for neutral functional differential equations. Zbl 0982.65082
Babram, M. Ait; Arino, O.; Hbid, M. L.
2001
A model for an age-structured population with two time scales. Zbl 1043.92519
Bravo de la Parra, R.; Arino, O.; Sánchez, E.; Auger, P.
2000
Polynomial growth dynamics of telomere loss in a heterogeneous cell population. Zbl 0908.92025
Arino, O.; Sánchez, E.; Webb, G. F.
1997
Linear theory of abstract functional differential equations of retarded type. Zbl 0821.34074
Arino, Ovide; Sanchez, Eva
1995
The asynchronous exponential growth property in a model for the kinetic heterogeneity of tumour cell populations. Zbl 1084.92020
Arino, O.; Bertuzzi, A.; Gandolfi, A.; Sánchez, E.; Sinisgalli, C.
2005
Approximation scheme of a center manifold for functional differential equations. Zbl 0896.34061
Ait Babram, M.; Hbid, M. L.; Arino, O.
1997
A variation of constants formula for an abstract functional differential equation of retarded type. Zbl 0879.34072
Arino, O.; Sánchez, E.
1996
An iterative method for functional differential equations. Zbl 1071.34064
Yebdri, Mustapha; Bouguima, Sidi Mohammed; Arino, Ovide
2005
A semigroup representation and asymptotic behavior of certain statistics of the Fisher-Wright-Moran coalescent. Zbl 1004.92026
Bobrowski, Adam; Kimmel, Marek; Arino, Ovide; Chakraborty, Ranajit
2001
A model of an age-structured population in a multipatch environment. Zbl 1185.35115
Arino, O.; Sánchez, E.; De La Parra, R. Bravo
1998
A survey of cell population dynamics. Zbl 0964.92506
Arino, O.; Sánchez, E.
1997
Existence results for initial value problems for neutral functional differential equations. Zbl 0882.34076
Arino, O.; Benkhalti, R.; Ezzinbi, K.
1997
A note on “The discrete Lyapunov function…”. Zbl 0781.34048
Arino, O.
1993
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 0658.34036
Arino, Ovide; Hanebaly, Elaïdi
1988
A model with ‘growth retardation’ for the kinetic heterogeneity of tumour cell populations. Zbl 1114.92036
Arino, O.; Bertuzzi, A.; Gandolfi, A.; Sánchez, E.; Sinisgalli, C.
2007
A theory of linear delay differential equations in infinite dimensional spaces. Zbl 1130.34054
Arino, O.; Sánchez, E.
2006
A saddle point theorem for functional state-dependent delay differential equations. Zbl 1085.34063
Arino, Ovide; Sánchez, Eva
2005
Determination of the stability of a nonlinear ordinary differential equation by least square approximation. Computational procedure. Zbl 0823.34053
Benouaz, Tayeb; Arino, Ovide
1995
On the existence and uniqueness for an age-dependent population model with nonlinear growth. Zbl 0845.35004
Bouzinab, A.; Arino, O.
1993
More on ordinary differential equations which yield periodic solutions of delay differential equations. Zbl 0798.34067
Arino, O.; Cherif, A. A.
1993
Monotone semi-flows which have a monotone first integral. Zbl 0742.34061
Arino, Ovide
1991
On the asymptotic behavior of the solutions of a class of scalar neutral equations generating a monotone semi-flow. Zbl 0711.34097
1990
Nonlinear age structured model with cannibalism. Zbl 1128.92028
Bekkal-Brikci, Fadia; Boushaba, Khalid; Arino, Ovide
2007
A mathematical model for phytoplankton. Zbl 1026.92049
Boushaba, Khalid; Arino, Ovide; Boussouar, Ahmed
2002
Periodic and almost-periodic results for some differential equations in Banach spaces. Zbl 0918.34061
Ait Dads, E.; Ezzinbi, K.; Arino, O.
1998
Positive almost periodic solution for some nonlinear delay integral equation. Zbl 0858.45003
Dads, Ait; Ezzinbi, K.; Arino, O.
1996
Poincaré procedure for an ordinary differential system perturbed by a functional term. Zbl 0868.34037
Arino, O.; Hbid, M. L.
1994
Hopf global bifurcation for retarded equations using integrated semigroups. Zbl 0783.34054
1993
Cell cycle kinetics with supramitotic control, two cell types, and unequal division: A model of transformed embryonic cells. Zbl 0731.92003
Kimmel, Marek; Arino, Ovide
1991
Asymptotic behaviour of nonlinear semigroup describing a model of selective cell growth regulation. Zbl 0728.92010
Arino, O.; Kimmel, M.
1991
Analysis of a cell population model with unequal division and random transition. Zbl 0779.92012
Arino, Ovide; Kimmel, Marek; Zerner, Martin
1991
A nonlocal model of phytoplankton aggregation. Zbl 1077.35059
2005
Asymptotic behavior of disease-free equilibriums of an age-structured predator-prey model with disease in the prey. Zbl 1103.92032
Arino, Ovide; Delgado, Manuel; Molina-Becerra, Mónica
2004
Delays induced in population dynamics. Zbl 1061.34060
Arino, Ovide; Sánchez, Eva
2004
Attractiveness and Hopf bifurcation for retarded differential equations. Zbl 1039.34065
Ouifki, R.; Hbid, M. L.; Arino, O.
2003
A mathematical analysis of a fish school model. Zbl 1028.34053
Adioui, M.; Arino, O.; Smith, W. V.; Treuil, J. P.
2003
Qualitative properties of the solutions of a delay differential equation with impulses. I: Stability. Zbl 0982.34063
Arino, O.; Győri, I.
1999
An abstract neutral functional differential equation arising from a cell population model. Zbl 0949.34064
Arino, O.; Sidki, O.
1999
An integral equation of cell population dynamics formulated as an abstract delay equation — some consequences. Zbl 0944.92004
Arino, Ovide; Sánchez, Eva
1998
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 0651.58033
Arino, Ovide; Bouvard, Fawzia; Hassani, Nacer
1988
Quelques résultats de comportement des solutions d’une classe d’équations différentielles à argument retarde. Zbl 0484.34046
Arino, O.; Seguier, P.
1980
Existence of oscillating solutions for certain differential equations with delay. Zbl 0422.34079
Arino, O.; Seguier, P.
1979
Champs mesurables et multisections. Zbl 0348.54009
Delode, C.; Arino, O.; Penot, J.-P.
1976
Estimation of the rate of convergence of semigroups to an asynchronous equilibrium. Zbl 0972.47028
2000
On stability of a class of neutral type functional differential equations. Zbl 1017.34502
Arino, Ovide; Nosov, Valery R.
1998
Existence of periodic solutions for a delay differential equation via the Poincaré procedure. Zbl 0867.34059
Arino, Ovide; Hbid, Moulay Lhassan
1996
Least square approximation of a nonlinear ordinary differential equation. Zbl 0855.65066
Benouaz, T.; Arino, O.
1996
Compactness and spectral properties for positive translation semigroups associated to models of populations dynamics. Zbl 0782.92012
Alaoui, L.; Arino, O.
1993
Slow oscillations in a model of cell population dynamics. Zbl 0774.92013
1991
Oscillations in vector spaces: A comparison result for monotone delay differential systems. Zbl 0735.34049
1991
Periodic solutions for retarded differential systems close to ordinary ones. Zbl 0687.34060
Arino, O.; Hbid, M. L.
1990
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 0723.34052
Arino, O.; Chérif, A. A.
1989
Periodic solutions for: $$\dot x(t)=\lambda f(x(t),x(t-1))$$. Zbl 0652.34046
Arino, O.; Benkhalti, R.
1988
Stability results based on Gronwall type inequalities for some functional differential systems. Zbl 0624.34065
Arino, O.; Györi, I.
1987
Asymptotic analysis of a functional-integral equation related to cell population kinetics. Zbl 0579.92010
Arino, Ovide; Kimmel, Marek
1985
Asymptotic integration of functional differential systems which are asymptotically autonomous. Zbl 0539.34052
Arino, O.; Györi, I.
1983
A stochastic partial differential equation for phytoplankton aggregation. Zbl 1146.60048
2007
Integrated semigroup associated to a linear delay differential equation with impulses. Zbl 1174.34504
Bachar, M.; Arino, O.
2004
Integrated semigroup and linear ordinary differential equation with impulses. Zbl 1171.34303
Bachar, M.; Arino, O.
2003
Stability of a general linear delay-differential equation with impulses. Zbl 1070.34094
Bachar, M.; Arino, O.
2003
A generalization of a theorem due to Cartwright. Zbl 1098.34060
Arino, Ovide; Berboucha, Ahmed
2003
Qualitative properties of the solutions of a delay differential equation with impulses. II: Oscillations. Zbl 0989.34054
Arino, O.; Győri, I.
1999
Optimal approximation of the initial value problem. Zbl 0944.34001
Benouaz, T.; Arino, O.
1998
A model with ‘growth retardation’ for the kinetic heterogeneity of tumour cell populations. Zbl 1114.92036
Arino, O.; Bertuzzi, A.; Gandolfi, A.; Sánchez, E.; Sinisgalli, C.
2007
Nonlinear age structured model with cannibalism. Zbl 1128.92028
Bekkal-Brikci, Fadia; Boushaba, Khalid; Arino, Ovide
2007
A stochastic partial differential equation for phytoplankton aggregation. Zbl 1146.60048
2007
Delay differential equations and applications. Proceedings of the NATO Advanced Study Institute, Marrakech, Morocco, September 9–21, 2002. Zbl 1116.34002
Arino, O. (ed.); Hbid, M. L. (ed.); Dads, E. Ait (ed.)
2006
A theory of linear delay differential equations in infinite dimensional spaces. Zbl 1130.34054
Arino, O.; Sánchez, E.
2006
The asynchronous exponential growth property in a model for the kinetic heterogeneity of tumour cell populations. Zbl 1084.92020
Arino, O.; Bertuzzi, A.; Gandolfi, A.; Sánchez, E.; Sinisgalli, C.
2005
An iterative method for functional differential equations. Zbl 1071.34064
Yebdri, Mustapha; Bouguima, Sidi Mohammed; Arino, Ovide
2005
A saddle point theorem for functional state-dependent delay differential equations. Zbl 1085.34063
Arino, Ovide; Sánchez, Eva
2005
A nonlocal model of phytoplankton aggregation. Zbl 1077.35059
2005
Infection in prey population may act as a biological control in ratio-dependent predator-prey models. Zbl 1062.34050
Arino, O.; El Abdllaoui, A.; Mikram, J.; Chattopadhyay, J.
2004
Modeling the intra-venous glucose tolerance test: A global study for a single-distributed-delay model. Zbl 1070.34110
Mukhopadhyay, Amitava; De Gaetano, Andrea; Arino, Ovide
2004
Asymptotic behavior of disease-free equilibriums of an age-structured predator-prey model with disease in the prey. Zbl 1103.92032
Arino, Ovide; Delgado, Manuel; Molina-Becerra, Mónica
2004
Delays induced in population dynamics. Zbl 1061.34060
Arino, Ovide; Sánchez, Eva
2004
Integrated semigroup associated to a linear delay differential equation with impulses. Zbl 1174.34504
Bachar, M.; Arino, O.
2004
Attractiveness and Hopf bifurcation for retarded differential equations. Zbl 1039.34065
Ouifki, R.; Hbid, M. L.; Arino, O.
2003
A mathematical analysis of a fish school model. Zbl 1028.34053
Adioui, M.; Arino, O.; Smith, W. V.; Treuil, J. P.
2003
Integrated semigroup and linear ordinary differential equation with impulses. Zbl 1171.34303
Bachar, M.; Arino, O.
2003
Stability of a general linear delay-differential equation with impulses. Zbl 1070.34094
Bachar, M.; Arino, O.
2003
A generalization of a theorem due to Cartwright. Zbl 1098.34060
Arino, Ovide; Berboucha, Ahmed
2003
Semigroup properties and the Crandall Liggett approximation for a class of differential equations with state-dependent delays. Zbl 1006.34061
Louihi, M.; Hbid, M. L.; Arino, O.
2002
Comparisons, by models, of some basic mechanisms acting on the dynamics of the zooplankton-toxic phytoplankton system. Zbl 1056.92057
El Abdllaoui, A.; Chattopadhyay, J.; Arino, Ovide
2002
A mathematical model for phytoplankton. Zbl 1026.92049
Boushaba, Khalid; Arino, Ovide; Boussouar, Ahmed
2002
The two-dimensional attractor of a differential equation with state-dependent delay. Zbl 1016.34075
Krisztin, Tibor; Arino, Ovide
2001
More on linear differential systems with small delays. Zbl 0989.34053
Arino, Ovide; Pituk, Mihály
2001
Nonlinear mathematical model of pulsed-therapy of heterogeneous tumors. Zbl 0982.92016
2001
State-dependent delay differential equations in population dynamics: Modeling and analysis. Zbl 1002.34073
Arino, Ovide; Sánchez, Eva; Fathallah, Ashraf
2001
Computational scheme of a center manifold for neutral functional differential equations. Zbl 0982.65082
Babram, M. Ait; Arino, O.; Hbid, M. L.
2001
A semigroup representation and asymptotic behavior of certain statistics of the Fisher-Wright-Moran coalescent. Zbl 1004.92026
Bobrowski, Adam; Kimmel, Marek; Arino, Ovide; Chakraborty, Ranajit
2001
Bifurcation of non trivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment. Zbl 1011.34031
2000
Mathematical modelling of the intravenous glucose tolerance test. Zbl 0999.92016
De Gaetano, Andrea; Arino, Ovide
2000
A mathematical model of the dynamics of the phytoplankton-nutrient system. Zbl 0984.92032
Arino, Ovide; Boushaba, Khalid; Boussouar, Ahmed
2000
Existence of periodic solutions for a state dependent delay differential equation. Zbl 0977.34067
Magal, P.; Arino, O.
2000
Optimal control of a nonlinear elliptic population system. Zbl 0944.35010
Arino, Ovide; Montero-Sánchez, Juan-Aurelio
2000
A singular perturbation in an age-structured population model. Zbl 0991.92037
Arino, Ovide; Sánchez, Eva; Bravo de la Parra, Rafael; Auger, Pierre
2000
A model for an age-structured population with two time scales. Zbl 1043.92519
Bravo de la Parra, R.; Arino, O.; Sánchez, E.; Auger, P.
2000
Estimation of the rate of convergence of semigroups to an asynchronous equilibrium. Zbl 0972.47028
2000
A predator-prey model with disease in the prey. Zbl 0922.34036
1999
About deterministic extinction in ratio-dependent predator-prey models. Zbl 1323.92173
Jost, Christian; Arino, Ovide; Arditi, Roger
1999
Convergence in asymptotically autonomous functional differential equations. Zbl 0936.34064
Arino, Ovide; Pituk, Mihály
1999
Qualitative properties of the solutions of a delay differential equation with impulses. I: Stability. Zbl 0982.34063
Arino, O.; Győri, I.
1999
An abstract neutral functional differential equation arising from a cell population model. Zbl 0949.34064
Arino, O.; Sidki, O.
1999
Qualitative properties of the solutions of a delay differential equation with impulses. II: Oscillations. Zbl 0989.34054
Arino, O.; Győri, I.
1999
A mathematical model of growth of population of fish in the larval stage: Density-dependence effects. Zbl 0938.92028
Arino, Ovide; Hbid, My Lhassan; Bravo de la Parra, Rafael
1998
Migration in age structured population dynamics. Zbl 0936.92030
Arino, O.; Smith, W. V.
1998
A model of an age-structured population in a multipatch environment. Zbl 1185.35115
Arino, O.; Sánchez, E.; De La Parra, R. Bravo
1998
Periodic and almost-periodic results for some differential equations in Banach spaces. Zbl 0918.34061
Ait Dads, E.; Ezzinbi, K.; Arino, O.
1998
An integral equation of cell population dynamics formulated as an abstract delay equation — some consequences. Zbl 0944.92004
Arino, Ovide; Sánchez, Eva
1998
On stability of a class of neutral type functional differential equations. Zbl 1017.34502
Arino, Ovide; Nosov, Valery R.
1998
Optimal approximation of the initial value problem. Zbl 0944.34001
Benouaz, T.; Arino, O.
1998
Pseudo-almost-periodic solutions for some differential equations in a Banach space. Zbl 0874.34041
Ait, Dads E.; Ezzinbi, K.; Arino, O.
1997
Necessary and sufficient conditions for asynchronous exponential growth in age structured cell populations with quiescence. Zbl 0886.92020
Arino, O.; Sánchez, E.; Webb, G. F.
1997
Polynomial growth dynamics of telomere loss in a heterogeneous cell population. Zbl 0908.92025
Arino, O.; Sánchez, E.; Webb, G. F.
1997
Approximation scheme of a center manifold for functional differential equations. Zbl 0896.34061
Ait Babram, M.; Hbid, M. L.; Arino, O.
1997
A survey of cell population dynamics. Zbl 0964.92506
Arino, O.; Sánchez, E.
1997
Existence results for initial value problems for neutral functional differential equations. Zbl 0882.34076
Arino, O.; Benkhalti, R.; Ezzinbi, K.
1997
On a model representing stage-structured population growth with state-dependent time delay. Zbl 0971.92510
Fathallah, Asraf; Arino, Ovide
1997
Exponential dichotomy and existence of pseudo almost-periodic solutions of some differential equations. Zbl 0855.34055
1996
Asymptotically diagonal delay differential systems. Zbl 0876.34078
Arino, O.; Györi, I.; Pituk, M.
1996
A variation of constants formula for an abstract functional differential equation of retarded type. Zbl 0879.34072
Arino, O.; Sánchez, E.
1996
Positive almost periodic solution for some nonlinear delay integral equation. Zbl 0858.45003
Dads, Ait; Ezzinbi, K.; Arino, O.
1996
Existence of periodic solutions for a delay differential equation via the Poincaré procedure. Zbl 0867.34059
Arino, Ovide; Hbid, Moulay Lhassan
1996
Least square approximation of a nonlinear ordinary differential equation. Zbl 0855.65066
Benouaz, T.; Arino, O.
1996
Existence of periodic solution for some neutral nonlinear integral equation with delay time dependent. Zbl 0887.45008
Ait Dads, E.; Ezzinbi, K.; Arino, O.
1996
Subdominant behavior in positive semigroups. The case of a class of delay differential equations. Zbl 0873.34059
Arino, O.; Niri, K.
1996
Periodic and almost periodic solutions of differential equations in Banach spaces. Zbl 0841.34046
Arino, O.; Bahaj, M.
1996
Linear theory of abstract functional differential equations of retarded type. Zbl 0821.34074
Arino, Ovide; Sanchez, Eva
1995
Determination of the stability of a nonlinear ordinary differential equation by least square approximation. Computational procedure. Zbl 0823.34053
Benouaz, Tayeb; Arino, Ovide
1995
Poincaré procedure for an ordinary differential system perturbed by a functional term. Zbl 0868.34037
Arino, O.; Hbid, M. L.
1994
Comparison of approaches to modeling of cell population dynamics. Zbl 0796.92019
Arino, Ovide; Kimmel, Marek
1993
A note on “The discrete Lyapunov function…”. Zbl 0781.34048
Arino, O.
1993
On the existence and uniqueness for an age-dependent population model with nonlinear growth. Zbl 0845.35004
Bouzinab, A.; Arino, O.
1993
More on ordinary differential equations which yield periodic solutions of delay differential equations. Zbl 0798.34067
Arino, O.; Cherif, A. A.
1993
Hopf global bifurcation for retarded equations using integrated semigroups. Zbl 0783.34054
1993
Compactness and spectral properties for positive translation semigroups associated to models of populations dynamics. Zbl 0782.92012
Alaoui, L.; Arino, O.
1993
Some spectral properties for the asymptotic behavior of semigroups connected to population dynamics. Zbl 0763.92008
Arino, O.
1992
Monotone semi-flows which have a monotone first integral. Zbl 0742.34061
Arino, Ovide
1991
Cell cycle kinetics with supramitotic control, two cell types, and unequal division: A model of transformed embryonic cells. Zbl 0731.92003
Kimmel, Marek; Arino, Ovide
1991
Asymptotic behaviour of nonlinear semigroup describing a model of selective cell growth regulation. Zbl 0728.92010
Arino, O.; Kimmel, M.
1991
Analysis of a cell population model with unequal division and random transition. Zbl 0779.92012
Arino, Ovide; Kimmel, Marek; Zerner, Martin
1991
Slow oscillations in a model of cell population dynamics. Zbl 0774.92013
1991
Oscillations in vector spaces: A comparison result for monotone delay differential systems. Zbl 0735.34049
1991
Noncompact semigroups of operators generated by cell kinetics models. Zbl 0731.47043
Sanchez, Eva; Arino, Ovide; Kimmel, Marek
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
Arino, Ovide (ed.); Axelrod, David E. (ed.); Kimmel, Marek (ed.)
1991
On the asymptotic behavior of the solutions of a class of scalar neutral equations generating a monotone semi-flow. Zbl 0711.34097
1990
Periodic solutions for retarded differential systems close to ordinary ones. Zbl 0687.34060
Arino, O.; Hbid, M. L.
1990
Necessary and sufficient condition for oscillation of a neutral differential system with several delays. Zbl 0691.34054
Arino, O.; Györi, I.
1989
Asymptotic behavior of a nonlinear functional-integral equation of cell kinetics with unequal division. Zbl 0715.92011
Arino, O.; Kimmel, M.
1989
Asymptotic integration of delay differential systems. Zbl 0681.34067
Arino, O.; Györi, I.
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 0723.34052
Arino, O.; Chérif, A. A.
1989
On some nonlinear effects in a model of population dynamics. Zbl 0716.92018
Arino, Ovide; Kimmel, Marek
1989
A nonlinear delay differential equation whose solutions are asymptotically sums of periodic functions. Zbl 0685.34074
1989
Total oscillatory behaviour globally in the delays. Zbl 0668.34068
Arino, O.; Ferreira, José M.
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 0658.34036
Arino, Ovide; Hanebaly, Elaïdi
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 0651.58033
Arino, Ovide; Bouvard, Fawzia; Hassani, Nacer
1988
Periodic solutions for: $$\dot x(t)=\lambda f(x(t),x(t-1))$$. Zbl 0652.34046
Arino, O.; Benkhalti, R.
1988
Asymptotic analysis of a cell cycle model based on unequal division. Zbl 0632.92015
Arino, Ovide; Kimmel, Marek
1987
On the asymptotic behavior of solutions of some delay differential systems which have a first integral. Zbl 0614.34063
Arino, O.; Haourigui, E.
1987
On oscillations of some retarded differential equations. Zbl 0566.34053
Arino, O.; Ladas, G.; Sficas, Y. G.
1987
Stability results based on Gronwall type inequalities for some functional differential systems. Zbl 0624.34065
Arino, O.; Györi, I.
1987
Stability analysis of models of cell production systems. Zbl 0609.92018
Arino, Ovide; Kimmel, Marek
1986
...and 12 more Documents
all top 5

#### Cited by 1,493 Authors

 58 Chen, Lansun 35 Arino, Ovide 31 Chattopadhyay, Joydev 25 Ezzinbi, Khalil 16 Diblík, Josef 15 Samanta, Sudip K. 13 Gyori, Istvan 13 O’Regan, Donal 13 Yuan, Rong 12 Agarwal, Ravi P. 12 Hbid, Moulay Lhassan 12 Kimmel, Marek 12 Sánchez, Eva 12 Tang, Sanyi 11 Liu, Bing 11 Liu, Zhijun 11 Pei, Yongzhen 11 Philos, Christos G. 11 Pituk, Mihály 11 Song, Xinyu 10 Magal, Pierre 10 Webb, Glenn Francis 10 Zhang, Shuwen 9 Bairagi, Nandadulal 9 Bravo de la Parra, Rafael 9 Das, Krishnapada 9 Diagana, Toka 9 Růžičková, Miroslava 9 Yan, Jurang 8 Ait Dads, El Hadi 8 Auger, Pierre M. 8 Cheke, Robert A. 8 Fan, Yonghong 8 Hbid, My Lhassan 8 Jin, Zhen 8 Rezunenko, Oleksandr V”yacheslavovych 8 Sasmal, Sourav Kumar 8 Sficas, Yiannis G. 8 Stavroulakis, Ioannis P. 8 Venturino, Ezio 8 Wu, Jianhong 7 Banasiak, Jacek 7 Ben Amar, Afif 7 Biswas, Santanu 7 Cui, Jingan 7 Haque, Mainul 7 Kuang, Yang 7 Ladas, Gerasimos E. 7 Li, Wan-Tong 7 Li, Yongfeng 7 Lv, Yunfei 7 Taoudi, Mohamed Aziz 7 Teng, Zhi-dong 7 Xu, Rui 6 Adimy, Mostafa 6 Bhattacharyya, Rakhi 6 Bobrowski, Adam 6 Burton, Theodore Allen 6 Cao, Jinde 6 Hong, Jialin 6 Mukhopadhyay, Banibrata 6 Obaya, Rafael 6 Purnaras, Ioannis K. 6 Ruan, Shigui 6 Salem, Hussein A. H. 6 Shi, Xiangyun 6 Walther, Hans-Otto 6 Wang, Ke 6 Xiao, Yanni 6 Zhang, Chuanyi 6 Zhang, Yujuan 6 Zhao, Zhong 5 Alvarez-Vázquez, Lino Jose 5 Banerjee, Malay 5 Benchohra, Mouffak 5 Bereketoglu, Huseyin 5 Chatterjee, Samrat 5 Dong, Lingzhen 5 Fernández, Francisco Javier 5 Jiang, Daqing 5 Jiang, Guirong 5 Li, Jiaxu 5 Liu, Xianning 5 Liu, Zhihua 5 N’Guérékata, Gaston Mandata 5 Nieto Roig, Juan Jose 5 Pinto, Manuel 5 Saifuddin, Md 5 Šutá, Zuzana 5 Tan, Dejun 5 Tiwari, Pankaj Kumar 5 Wang, Linlin 5 Wu, Jianhua 5 Zhang, Qingling 5 Zhao, Min 5 Zhou, Xueyong 4 Baek, Hunki 4 Banaś, Józef 4 Biswas, Santosh 4 Chen, Fengde ...and 1,393 more Authors
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#### Cited in 192 Serials

 105 Journal of Mathematical Analysis and Applications 67 Applied Mathematics and Computation 56 Nonlinear Analysis. Real World Applications 54 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 47 Mathematical Biosciences 40 Chaos, Solitons and Fractals 38 Journal of Differential Equations 29 Computers & Mathematics with Applications 29 Mathematical and Computer Modelling 24 Advances in Difference Equations 23 Mathematical Methods in the Applied Sciences 23 Journal of Computational and Applied Mathematics 20 Nonlinear Dynamics 18 Bulletin of Mathematical Biology 18 Applied Mathematical Modelling 18 Abstract and Applied Analysis 17 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 17 International Journal of Biomathematics 17 Nonlinear Analysis. Theory, Methods & Applications 16 Applicable Analysis 15 Journal of Theoretical Biology 14 Differential Equations and Dynamical Systems 13 Journal of Mathematical Biology 12 Journal of Biological Systems 11 Journal of Dynamics and Differential Equations 11 Discrete Dynamics in Nature and Society 11 Discrete and Continuous Dynamical Systems. Series B 11 Journal of Applied Mathematics and Computing 11 Journal of Biological Dynamics 10 Applied Mathematics Letters 10 Communications in Nonlinear Science and Numerical Simulation 9 Journal of Evolution Equations 9 Journal of Applied Mathematics 8 Rocky Mountain Journal of Mathematics 8 Zeitschrift für Analysis und ihre Anwendungen 8 Acta Mathematicae Applicatae Sinica. English Series 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 8 Acta Mathematica Sinica. English Series 7 Journal of the Franklin Institute 7 Mathematics and Computers in Simulation 7 Theoretical Population Biology 6 Proceedings of the American Mathematical Society 6 Tohoku Mathematical Journal. Second Series 6 Discrete and Continuous Dynamical Systems. Series S 5 Bulletin of the Australian Mathematical Society 5 Acta Applicandae Mathematicae 5 Science in China. Series A 5 Mathematical Problems in Engineering 5 Communications on Pure and Applied Analysis 5 Mediterranean Journal of Mathematics 5 Nonlinear Analysis. Hybrid Systems 5 Mathematical Modelling of Natural Phenomena 4 Transactions of the American Mathematical Society 4 Computational and Applied Mathematics 4 Turkish Journal of Mathematics 4 Complexity 4 Discrete and Continuous Dynamical Systems 4 Mathematical Biosciences and Engineering 3 Advances in Applied Probability 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Czechoslovak Mathematical Journal 3 Numerical Functional Analysis and Optimization 3 Systems & Control Letters 3 Journal of Integral Equations and Applications 3 Applications of Mathematics 3 International Journal of Computer Mathematics 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Journal of Nonlinear Science 3 Applied Mathematics. Series B (English Edition) 3 Journal of Difference Equations and Applications 3 Journal of Inequalities and Applications 3 ISRN Applied Mathematics 3 Journal of Applied Analysis and Computation 2 Ukrainian Mathematical Journal 2 Journal of Optimization Theory and Applications 2 Journal of Soviet Mathematics 2 Mathematica Slovaca 2 Optimal Control Applications & Methods 2 Applied Mathematics and Mechanics. (English Edition) 2 Physica D 2 Applied Numerical Mathematics 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Mathematical Analysis 2 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică 2 Journal of Mathematical Sciences (New York) 2 Georgian Mathematical Journal 2 European Journal of Control 2 Chaos 2 Mathematical and Computer Modelling of Dynamical Systems 2 Natural Resource Modeling 2 LMS Journal of Computation and Mathematics 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Differential Equations 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Stochastics and Dynamics 2 Fixed Point Theory and Applications 2 Boundary Value Problems 2 The Annals of Applied Statistics 2 Nonautonomous Dynamical Systems ...and 92 more Serials
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#### Cited in 40 Fields

 725 Ordinary differential equations (34-XX) 638 Biology and other natural sciences (92-XX) 180 Partial differential equations (35-XX) 146 Dynamical systems and ergodic theory (37-XX) 142 Operator theory (47-XX) 62 Systems theory; control (93-XX) 59 Numerical analysis (65-XX) 57 Integral equations (45-XX) 44 Difference and functional equations (39-XX) 35 Probability theory and stochastic processes (60-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Abstract harmonic analysis (43-XX) 13 Real functions (26-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Statistics (62-XX) 8 Functional analysis (46-XX) 8 General topology (54-XX) 6 Measure and integration (28-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Computer science (68-XX) 4 Integral transforms, operational calculus (44-XX) 4 Operations research, mathematical programming (90-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic topology (55-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX)

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