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Author ID: belair.jacques Recent zbMATH articles by "Bélair, Jacques"
Published as: Bélair, Jacques; Belair, Jacques; Bélair, J.; Bélair, Jaques
Homepage: https://dms.umontreal.ca/~belair/
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 835 times in 639 Documents Cited by Year
Bifurcations, stability, and monotonicity properties of a delayed neural network model. Zbl 0887.34069
Olien, Leonard; Bélair, Jacques
106
1997
Frustration, stability, and delay-induced oscillations in a neural network model. Zbl 0840.92003
Bélair, Jacques; Campbell, Sue Ann; van den Driessche, P.
78
1996
Stability and bifurcations of equilibria in a multiple-delayed differential equation. Zbl 0809.34077
Bélair, Jacques; Campbell, Sue Ann
78
1994
Age-structured and two-delay models for erythropoiesis. Zbl 0832.92005
Bélair, Jacques; Mackey, Michael C.; Mahaffy, Joseph M.
62
1995
Stability in a model of a delayed neural network. Zbl 0796.34063
Bélair, Jacques
50
1993
Limit cycles, tori, and complex dynamics in a second-order differential equation with delayed negative feedback. Zbl 0816.34048
Campbell, Sue Ann; Bélair, Jaques; Ohira, Toru; Milton, John
44
1995
Modeling the spread and control of dengue with limited public health resources. Zbl 1364.92036
Abdelrazec, Ahmed; Bélair, Jacques; Shan, Chunhua; Zhu, Huaiping
42
2016
Consumer memory and price fluctuations in community markets: An integrodifferential model. Zbl 0682.34050
Bélair, Jacques; Mackey, Michael C.
39
1989
Sufficient conditions for stability of linear differential equations with distributed delay. Zbl 0993.34065
Bernard, Samuel; Bélair, Jacques; Mackey, Michael C.
34
2001
Population models with state-dependent delays. Zbl 0749.92014
Bélair, Jacques
32
1991
Feedback and delays in neurological diseases: A modeling study using dynamical systems. Zbl 0825.92072
Beuter, Anne; Bélair, Jacques; Labrie, Christiane
30
1993
Complex dynamics and multistability in a damped harmonic oscillator with delayed negative feedback. Zbl 1055.34511
Campbell, Sue Ann; Bélair, Jacques; Ohira, Toru; Milton, John
24
1995
Chaos, noise, and extinction in models of population growth. Zbl 0699.92020
Milton, John G.; Bélair, Jacques
23
1990
Stability and Hopf bifurcation analysis for functional differential equation with distributed delay. Zbl 1226.34069
Yuan, Yuan; Bélair, Jacques
23
2011
Numerical bifurcation analysis of delay differential equations arising from physiological modeling. Zbl 0983.65136
Engelborghs, K.; Lemaire, V.; Bélair, J.; Roose, D.
22
2001
Threshold dynamics in an SEIRS model with latency and temporary immunity. Zbl 1345.92160
Yuan, Yuan; Bélair, Jacques
20
2014
Restrictions and unfolding of double Hopf bifurcation in functional differential equations. Zbl 1032.34068
Buono, Pietro-Luciano; Bélair, Jacques
20
2003
Analytical and symbolically-assisted investigation of Hopf bifurcations in delay-differential equations. Zbl 0840.34074
Campbell, Sue Ann; Bélair, Jacques
16
1995
Normal and pathological dynamics of platelets in humans. Zbl 1380.37146
Langlois, Gabriel P.; Craig, Morgan; Humphries, Antony R.; Mackey, Michael C.; Mahaffy, Joseph M.; Bélair, Jacques; Moulin, Thibault; Sinclair, Sean R.; Wang, Liangliang
10
2017
A circle map in a human heart. Zbl 0684.92003
Courtemanche, M.; Glass, L.; Bélair, J.; Scagliotti, D.; Gordon, D.
8
1989
Universality and self-similarity in the bifurcations of circle maps. Zbl 0593.58030
Bélair, Jacques; Glass, Leon
8
1985
Variable maturation velocity and parameter sensitivity in a model of haematopoiesis. Zbl 0973.92009
Bélair, Jacques; Mahaffy, Joseph M.
8
2001
Neutrophil dynamics during concurrent chemotherapy and G-CSF administration: mathematical modelling guides dose optimisation to minimise neutropenia. Zbl 1343.92215
Craig, Morgan; Humphries, Antony R.; Nekka, Fahima; Bélair, Jacques; Li, Jun; Mackey, Michael C.
7
2015
On linearly coupled relaxation oscillations. Zbl 0565.70025
Bélair, Jacques; Holmes, Philip
7
1984
Stability in a three-dimensional system of delay-differential equations. Zbl 0880.34075
Bélair, Jacques; Dufour, Steven
7
1996
Resonant codimension two bifurcation in the harmonic oscillator with delayed forcing. Zbl 0972.34063
Campbell, Sue Ann; Bélair, Jacques
6
1999
Itinerary of a discontinuous map from the continued fraction expansion. Zbl 0736.58025
Bélair, Jacques; Milton, John G.
4
1988
Sur une équation différentielle fonctionnelle analytique. Zbl 0457.34052
Belair, Jacques
4
1981
Lifespans in population models: Using time delays. Zbl 0745.92021
Bélair, Jacques
4
1991
Periodic pulsatile stimulation of a nonlinear oscillator. Zbl 0599.92001
Bélair, Jacques
4
1986
Stability in delayed neural networks. Zbl 0788.34073
Bélair, J.
4
1993
Stability analysis of an age-structured model with a state-dependent delay. Zbl 0941.92007
Bélair, Jacques
3
1998
Oscillations in cyclical neutropenia: new evidence based on mathematical modeling. Zbl 1464.92062
Bernard, Samuel; Bélair, Jacques; Mackey, Michael C.
2
2003
Fractal geometry and analysis. Proceedings of the NATO Advanced Study Institute and séminaire de mathématiques supérieures on fractal geometry and analysis, Montréal, Canada, July 3-21, 1989. Zbl 0728.00016
1
1991
Stability of a differential-delay equation with two time lags. Zbl 0624.34064
Bélair, Jacques
1
1987
Sur le calcul de la dimension fractale. (On the computation of the fractal dimension). Zbl 0632.28002
Bélair, Jacques
1
1987
Mathematical and computational approaches in advancing modern science and engineering. Based on the international conference on applied mathematics, modeling and computational science, AMMCS, jointly held with the annual meeting of the Canadian applied and industrial mathematics, CAIMS, June 7–15, 2015. Zbl 1362.00026
1
2016
Recent progress and modern challenges in applied mathematics, modeling and computational science. Zbl 1381.00028
1
2017
Stability analysis of an equation with two delays and application to the production of platelets. Zbl 1469.34091
Boullu, Loïs; Pujo-Menjouet, Laurent; Bélair, Jacques
1
2020
Stability analysis of an equation with two delays and application to the production of platelets. Zbl 1469.34091
Boullu, Loïs; Pujo-Menjouet, Laurent; Bélair, Jacques
1
2020
Normal and pathological dynamics of platelets in humans. Zbl 1380.37146
Langlois, Gabriel P.; Craig, Morgan; Humphries, Antony R.; Mackey, Michael C.; Mahaffy, Joseph M.; Bélair, Jacques; Moulin, Thibault; Sinclair, Sean R.; Wang, Liangliang
10
2017
Recent progress and modern challenges in applied mathematics, modeling and computational science. Zbl 1381.00028
1
2017
Modeling the spread and control of dengue with limited public health resources. Zbl 1364.92036
Abdelrazec, Ahmed; Bélair, Jacques; Shan, Chunhua; Zhu, Huaiping
42
2016
Mathematical and computational approaches in advancing modern science and engineering. Based on the international conference on applied mathematics, modeling and computational science, AMMCS, jointly held with the annual meeting of the Canadian applied and industrial mathematics, CAIMS, June 7–15, 2015. Zbl 1362.00026
1
2016
Neutrophil dynamics during concurrent chemotherapy and G-CSF administration: mathematical modelling guides dose optimisation to minimise neutropenia. Zbl 1343.92215
Craig, Morgan; Humphries, Antony R.; Nekka, Fahima; Bélair, Jacques; Li, Jun; Mackey, Michael C.
7
2015
Threshold dynamics in an SEIRS model with latency and temporary immunity. Zbl 1345.92160
Yuan, Yuan; Bélair, Jacques
20
2014
Stability and Hopf bifurcation analysis for functional differential equation with distributed delay. Zbl 1226.34069
Yuan, Yuan; Bélair, Jacques
23
2011
Restrictions and unfolding of double Hopf bifurcation in functional differential equations. Zbl 1032.34068
Buono, Pietro-Luciano; Bélair, Jacques
20
2003
Oscillations in cyclical neutropenia: new evidence based on mathematical modeling. Zbl 1464.92062
Bernard, Samuel; Bélair, Jacques; Mackey, Michael C.
2
2003
Sufficient conditions for stability of linear differential equations with distributed delay. Zbl 0993.34065
Bernard, Samuel; Bélair, Jacques; Mackey, Michael C.
34
2001
Numerical bifurcation analysis of delay differential equations arising from physiological modeling. Zbl 0983.65136
Engelborghs, K.; Lemaire, V.; Bélair, J.; Roose, D.
22
2001
Variable maturation velocity and parameter sensitivity in a model of haematopoiesis. Zbl 0973.92009
Bélair, Jacques; Mahaffy, Joseph M.
8
2001
Resonant codimension two bifurcation in the harmonic oscillator with delayed forcing. Zbl 0972.34063
Campbell, Sue Ann; Bélair, Jacques
6
1999
Stability analysis of an age-structured model with a state-dependent delay. Zbl 0941.92007
Bélair, Jacques
3
1998
Bifurcations, stability, and monotonicity properties of a delayed neural network model. Zbl 0887.34069
Olien, Leonard; Bélair, Jacques
106
1997
Frustration, stability, and delay-induced oscillations in a neural network model. Zbl 0840.92003
Bélair, Jacques; Campbell, Sue Ann; van den Driessche, P.
78
1996
Stability in a three-dimensional system of delay-differential equations. Zbl 0880.34075
Bélair, Jacques; Dufour, Steven
7
1996
Age-structured and two-delay models for erythropoiesis. Zbl 0832.92005
Bélair, Jacques; Mackey, Michael C.; Mahaffy, Joseph M.
62
1995
Limit cycles, tori, and complex dynamics in a second-order differential equation with delayed negative feedback. Zbl 0816.34048
Campbell, Sue Ann; Bélair, Jaques; Ohira, Toru; Milton, John
44
1995
Complex dynamics and multistability in a damped harmonic oscillator with delayed negative feedback. Zbl 1055.34511
Campbell, Sue Ann; Bélair, Jacques; Ohira, Toru; Milton, John
24
1995
Analytical and symbolically-assisted investigation of Hopf bifurcations in delay-differential equations. Zbl 0840.34074
Campbell, Sue Ann; Bélair, Jacques
16
1995
Stability and bifurcations of equilibria in a multiple-delayed differential equation. Zbl 0809.34077
Bélair, Jacques; Campbell, Sue Ann
78
1994
Stability in a model of a delayed neural network. Zbl 0796.34063
Bélair, Jacques
50
1993
Feedback and delays in neurological diseases: A modeling study using dynamical systems. Zbl 0825.92072
Beuter, Anne; Bélair, Jacques; Labrie, Christiane
30
1993
Stability in delayed neural networks. Zbl 0788.34073
Bélair, J.
4
1993
Population models with state-dependent delays. Zbl 0749.92014
Bélair, Jacques
32
1991
Lifespans in population models: Using time delays. Zbl 0745.92021
Bélair, Jacques
4
1991
Fractal geometry and analysis. Proceedings of the NATO Advanced Study Institute and séminaire de mathématiques supérieures on fractal geometry and analysis, Montréal, Canada, July 3-21, 1989. Zbl 0728.00016
1
1991
Chaos, noise, and extinction in models of population growth. Zbl 0699.92020
Milton, John G.; Bélair, Jacques
23
1990
Consumer memory and price fluctuations in community markets: An integrodifferential model. Zbl 0682.34050
Bélair, Jacques; Mackey, Michael C.
39
1989
A circle map in a human heart. Zbl 0684.92003
Courtemanche, M.; Glass, L.; Bélair, J.; Scagliotti, D.; Gordon, D.
8
1989
Itinerary of a discontinuous map from the continued fraction expansion. Zbl 0736.58025
Bélair, Jacques; Milton, John G.
4
1988
Stability of a differential-delay equation with two time lags. Zbl 0624.34064
Bélair, Jacques
1
1987
Sur le calcul de la dimension fractale. (On the computation of the fractal dimension). Zbl 0632.28002
Bélair, Jacques
1
1987
Periodic pulsatile stimulation of a nonlinear oscillator. Zbl 0599.92001
Bélair, Jacques
4
1986
Universality and self-similarity in the bifurcations of circle maps. Zbl 0593.58030
Bélair, Jacques; Glass, Leon
8
1985
On linearly coupled relaxation oscillations. Zbl 0565.70025
Bélair, Jacques; Holmes, Philip
7
1984
Sur une équation différentielle fonctionnelle analytique. Zbl 0457.34052
Belair, Jacques
4
1981
all top 5

Cited by 1,014 Authors

20 Wu, Jianhong
17 Huang, Lihong
14 Campbell, Sue Ann
13 Mackey, Michael Charles
13 Wei, Junjie
13 Xu, Jian
12 Bélair, Jacques
12 Cao, Jinde
12 Guo, Shangjiang
11 Braverman, Elena
11 Crauste, Fabien
11 Liao, Xiaofeng
9 Ruan, Shigui
8 Adimy, Mostafa
8 Song, Yongli
7 Berezansky, Leonid M.
7 Chen, Yuming
7 Kuang, Yang
7 LeBlanc, Victor G.
7 Lin, Zhigui
7 Milton, John G.
7 Zhu, Min
7 Zou, Xingfu
6 Benchohra, Mouffak
6 Faria, Teresa
6 Gandrillon, Olivier
6 Humphries, Antony R.
6 Jiang, Weihua
6 Liz, Eduardo
6 Niu, Ben
6 Oliveira, José J.
6 Pertsev, Nikolaĭ Viktorovich
6 Thibodeaux, Jeremy J.
6 Volpert, Vitaly A.
6 Wang, Lin
5 Chen, Guanrong
5 Guo, Yuxiao
5 Hbid, Moulay Lhassan
5 Huang, Chuangxia
5 Krauskopf, Bernd
5 Kyrychko, Yuliya N.
5 Pujo-Menjouet, Laurent
5 Stépán, Gábor
5 Xu, Changjin
5 Zhu, Huaiping
4 Ackleh, Azmy S.
4 Al-Darabsah, Isam
4 Blyuss, Konstantin B.
4 Chung, Kwok-Wai
4 Craig, Morgan
4 Feng, Zhaosheng
4 Fofana, Mustapha S.
4 Glass, Leon
4 Hsu, Cheng-Hsiung
4 Ma, Suqi
4 Merdan, Hüseyin
4 Röst, Gergely
4 Su, Huan
4 Tang, Xianhua
4 Touaoula, Tarik Mohamed
4 Yan, Xiangping
4 Yang, Tzi-Sheng
3 Angelova, Maia N.
3 Angulo, Oscar
3 Barbarossa, Maria Vittoria
3 Brunner, Hermann
3 Buono, Pietro-Luciano
3 Burić, Nikola I.
3 Cassidy, Tyler
3 Chen, Tianping
3 Ding, Xiaohua
3 El-Morshedy, Hassan A.
3 Guo, Songtao
3 He, Yigang
3 Hu, Haiyan
3 Insperger, Tamás
3 Jiang, Jiao
3 Karaoğlu, Esra
3 Kaslik, Eva
3 Li, Chuandong
3 Li, Jiaxu
3 Longtin, André
3 Louihi, M.
3 Lu, Qishao
3 Ma, Wanbiao
3 Mallet-Paret, John Joseph
3 Medjadj, Imene
3 Mincheva, Maya
3 Ncube, Israel
3 Nussbaum, Roger David
3 Ohira, Toru
3 Rand, Richard H.
3 Sánchez, Eva
3 Shi, Junping
3 Stamova, Ivanka Milkova
3 Teng, Zhi-dong
3 Tresser, Charles
3 van den Driessche, Pauline
3 Wang, Hongbin
3 Wang, Jun
...and 914 more Authors
all top 5

Cited in 136 Serials

38 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
34 Journal of Mathematical Analysis and Applications
32 Chaos, Solitons and Fractals
31 Physica D
29 Applied Mathematics and Computation
21 Mathematical Biosciences
21 Nonlinear Dynamics
19 Journal of Mathematical Biology
19 Chaos
18 Journal of Theoretical Biology
17 Journal of Differential Equations
15 Journal of Computational and Applied Mathematics
13 Bulletin of Mathematical Biology
13 Journal of Dynamics and Differential Equations
13 Nonlinear Analysis. Real World Applications
12 Communications in Nonlinear Science and Numerical Simulation
12 Discrete and Continuous Dynamical Systems. Series B
11 Applied Mathematical Modelling
11 Abstract and Applied Analysis
9 Neural Networks
9 Journal of Nonlinear Science
9 Mathematical Biosciences and Engineering
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Mathematical and Computer Modelling
7 Advances in Difference Equations
6 Computers & Mathematics with Applications
6 Applied Mathematics Letters
6 Neural Computation
6 Dynamical Systems
6 SIAM Journal on Applied Dynamical Systems
6 Nonlinear Analysis. Theory, Methods & Applications
5 Nonlinearity
5 Journal of Biological Dynamics
4 Biological Cybernetics
4 Automatica
4 Proceedings of the American Mathematical Society
4 Applied Numerical Mathematics
4 SIAM Journal on Applied Mathematics
4 Discrete Dynamics in Nature and Society
4 Discrete and Continuous Dynamical Systems. Series S
3 Journal of the Franklin Institute
3 Mathematics and Computers in Simulation
3 Theoretical Population Biology
3 European Journal of Applied Mathematics
3 Numerical Algorithms
3 International Journal of Computer Mathematics
3 Complexity
3 Discrete and Continuous Dynamical Systems
3 International Journal of Biomathematics
3 Journal of Applied Analysis and Computation
2 Applicable Analysis
2 Archive for Rational Mechanics and Analysis
2 Journal of Computational Physics
2 Physica A
2 Kybernetika
2 Siberian Mathematical Journal
2 Transactions of the American Mathematical Society
2 Applied Mathematics and Mechanics. (English Edition)
2 Acta Applicandae Mathematicae
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Acta Mathematica Sinica. English Series
2 Journal of Applied Mathematics
2 Journal of Applied Mathematics and Computing
2 Frontiers of Mathematics in China
2 Mathematical Modelling of Natural Phenomena
2 Results in Applied Mathematics
1 Acta Mechanica
1 International Journal of Control
1 Journal of Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Demonstratio Mathematica
1 International Journal of Mathematics and Mathematical Sciences
1 Quarterly of Applied Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Semigroup Forum
1 SIAM Journal on Control and Optimization
1 Theoretical Computer Science
1 Tôhoku Mathematical Journal. Second Series
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Statistics & Probability Letters
1 Stochastic Analysis and Applications
1 Acta Mathematicae Applicatae Sinica. English Series
1 Numerical Methods for Partial Differential Equations
1 Dynamics and Stability of Systems
1 Japan Journal of Industrial and Applied Mathematics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Review
1 Russian Mathematics
1 Experimental Mathematics
1 Turkish Journal of Mathematics
1 Filomat
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Advances in Computational Mathematics
1 Journal of Computational Neuroscience
1 Journal of Difference Equations and Applications
1 Izvestiya: Mathematics
...and 36 more Serials

Citations by Year