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Bélair, Jacques

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Full Professor

Faculty of Arts and Science - Department of Mathematics and Statistics

André-Aisenstadt Office 4439

514 343-6713

Courriels

Affiliations

  • Membre Centre de recherches mathématiques
  • Membre CRM — Centre de recherches mathématiques

Courses

  • MAT3450 A - Introduction à la modélisation mathématique

Research area

Research projects Expand all Collapse all

Centre de recherches mathématiques (CRM) FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2022 - 2029

Réseaux Mathematics for public health (MfPH)_Funds for the hire of an HQP CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2022 - 2023

Réseaux Mathematics for public health (MfPH)_Project 10. Dynamic Bifurcation and Scenario Analyses CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2022 - 2023

Modélisation pharmacologique des systèmes appliquée à plusieurs domaines thérapeutiques: une approche intégrative pour les fondements de l'interaction entre la pathologie, le devenir et l’action du médicament FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2020 - 2024

Agent-based and multi-scale mathematical modelling of COVID-19 for assessments of sustained transmission risk and effectiveness of countermeasures IRSC/Instituts de recherche en santé du Canada / 2020 - 2022

Supplément COVID-19 CRSNG_Dynamical Regulation in Physiological Systems CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2020 - 2021

Dynamical Regulation in Physiological Systems CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2018 - 2025

Dynamical Regulation in Physiological Systems CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2018 - 2024

CENTRE DE RECHERCHES MATHEMATIQUES (CRM) FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2015 - 2023

Caractérisation et mesure de la variabilité médicamenteuse et son impact thérapeutique par une pharmacologie probabiliste pour une utilisation rationnelle du médicament FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2015 - 2019

DYNAMICAL REGULATION IN PHYSIOLOGICAL SYSTEMS CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2012 - 2018

CENTRE DE RECHERCHES MATHEMATIQUES (CRM) FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2008 - 2016

Selected publications Expand all Collapse all

Threshold dynamics in an SEIRS model with latency and temporary immunity

Yuan, Yuan et Bélair, Jacques, Threshold dynamics in an SEIRS model with latency and temporary immunity 69, 875--904 (2014), , J. Math. Biol.

Stability and Hopf bifurcation analysis for functional differential equation with distributed delay

Yuan, Yuan et Bélair, Jacques, Stability and Hopf bifurcation analysis for functional differential equation with distributed delay 10, 551--581 (2011), , SIAM J. Appl. Dyn. Syst.

Delay induced oscillations in autonomous drug delivery systems

Bélair, J. et Buono, P-L., Delay induced oscillations in autonomous drug delivery systems 11, 491--507 (2004), , Nonlinear Stud.

Erratum to: ``Oscillations in cyclical neutropenia: new evidence based on mathematical modeling''

Bernard, Samuel, Bélair, Jacques et Mackey, Micahel C., Erratum to: ``Oscillations in cyclical neutropenia: new evidence based on mathematical modeling'' 228, 143 (2004), , J. Theoret. Biol.

Oscillations in cyclical neutropenia: new evidence based on mathematical modeling

Bernard, Samuel, Bélair, Jacques et Mackey, Michael C., Oscillations in cyclical neutropenia: new evidence based on mathematical modeling 223, 283--298 (2003), , J. Theoret. Biol.

Restrictions and unfolding of double Hopf bifurcation in functional differential equations

Buono, Pietro-Luciano et Bélair, Jacques, Restrictions and unfolding of double Hopf bifurcation in functional differential equations 189, 234--266 (2003), , J. Differential Equations

Numerical bifurcation analysis of delay differential equations arising from physiological modeling

Engelborghs, K., Lemaire, V., Bélair, J. et Roose, D., Numerical bifurcation analysis of delay differential equations arising from physiological modeling 42, 361--385 (2001), , J. Math. Biol.

Sufficient conditions for stability of linear differential equations with distributed delay

Bernard, Samuel, Bélair, Jacques et Mackey, Michael C., Sufficient conditions for stability of linear differential equations with distributed delay 1, 233--256 (2001), , Discrete Contin. Dyn. Syst. Ser. B

Resonant codimension two bifurcation in the harmonic oscillator with delayed forcing

Campbell, Sue Ann et Bélair, Jacques, Resonant codimension two bifurcation in the harmonic oscillator with delayed forcing 7, 217--238 (1999), , Canad. Appl. Math. Quart.

Stability analysis of an age-structured model with a state-dependent delay

Bélair, Jacques, Stability analysis of an age-structured model with a state-dependent delay 6, 305--319 (1998), , Canad. Appl. Math. Quart.

Bifurcations, stability, and monotonicity properties of a delayed neural network model

Olien, Leonard et Bélair, Jacques, Bifurcations, stability, and monotonicity properties of a delayed neural network model 102, 349--363 (1997), , Phys. D

Stability in a three-dimensional system of delay-differential equations

Bélair, Jacques et Dufour, Steven, Stability in a three-dimensional system of delay-differential equations 4, 135--156 (1996), , Canad. Appl. Math. Quart.

Frustration, stability, and delay-induced oscillations in a neural network model

Bélair, Jacques, Campbell, Sue Ann et van den Driessche, P., Frustration, stability, and delay-induced oscillations in a neural network model 56, 245--255 (1996), , SIAM J. Appl. Math.

Limit cycles, tori, and complex dynamics in a second-order differential equation with delayed negative feedback

Campbell, Sue Ann, Bélair, Jacques, Ohira, Toru et Milton, John, Limit cycles, tori, and complex dynamics in a second-order differential equation with delayed negative feedback 7, 213--236 (1995), , J. Dynam. Differential Equations

Complex dynamics and multistability in a damped harmonic oscillator with delayed negative feedback

Campbell, Sue Ann, Bélair, Jacques, Ohira, Toru et Milton, John, Complex dynamics and multistability in a damped harmonic oscillator with delayed negative feedback 5, 640--645 (1995), , Chaos

Stability and bifurcations of equilibria in a multiple-delayed differential equation

Bélair, Jacques et Campbell, Sue Ann, Stability and bifurcations of equilibria in a multiple-delayed differential equation 54, 1402--1424 (1994), , SIAM J. Appl. Math.

Stability in a model of a delayed neural network

Bélair, Jacques, Stability in a model of a delayed neural network 5, 607--623 (1993), , J. Dynam. Differential Equations

Chaos, noise, and extinction in models of population growth

Milton, John G. et Bélair, Jacques, Chaos, noise, and extinction in models of population growth 37, 273--290 (1990), , Theoret. Population Biol.

A circle map in a human heart

Courtemanche, M., Glass, L., Bélair, J., Scagliotti, D. et Gordon, D., A circle map in a human heart 40, 299--310 (1989), , Phys. D

Consumer memory and price fluctuations in commodity markets: an integrodifferential model

Bélair, Jacques et Mackey, Michael C., Consumer memory and price fluctuations in commodity markets: an integrodifferential model 1, 299--325 (1989), , J. Dynam. Differential Equations

Itinerary of a discontinuous map from the continued fraction expansion

Bélair, Jacques et Milton, John G., Itinerary of a discontinuous map from the continued fraction expansion 1, 339--342 (1988), , Appl. Math. Lett.

Growth properties of the solutions of a linear functional-differential equation

Bélair, Jacques et Giroux, André, Growth properties of the solutions of a linear functional-differential equation 134, 125--128 (1988), , J. Math. Anal. Appl.

Sur le calcul de la dimension fractale

Bélair, Jacques, Sur le calcul de la dimension fractale 11, 7--23 (1987), , Ann. Sci. Math. Québec

Periodic pulsatile stimulation of a nonlinear oscillator

Bélair, Jacques, Periodic pulsatile stimulation of a nonlinear oscillator 24, 217--232 (1986), , J. Math. Biol.

Universality and self-similarity in the bifurcations of circle maps

Bélair, Jacques et Glass, Leon, Universality and self-similarity in the bifurcations of circle maps 16, 143--154 (1985), , Phys. D

On linearly coupled relaxation oscillations

Bélair, Jacques et Holmes, Philip, On linearly coupled relaxation oscillations 42, 193--219 (1984), , Quart. Appl. Math.

Global bifurcations of a periodically forced biological oscillator

Glass, Leon, Guevara, Michael R., Bélair, Jacques et Shrier, Alvin, Global bifurcations of a periodically forced biological oscillator 29, 1348--1357 (1984), , Phys. Rev. A (3)

Self-similarity in periodically forced oscillators

Belair, J. et Glass, Leon, Self-similarity in periodically forced oscillators 96, 113--116 (1983), , Phys. Lett. A

Sur une équation différentielle fonctionnelle analytique

Bélair, Jacques, Sur une équation différentielle fonctionnelle analytique 24, 43--46 (1981), , Canad. Math. Bull.