Bélair, Jacques
- Full Professor
-
Faculty of Arts and Science - Department of Mathematics and Statistics
André-Aisenstadt Office 4439
Courriels
Affiliations
- Membre Centre de recherches mathématiques
- Membre CRM Centre de recherches mathématiques
Courses
- MAT1958 A - Mathématiques pour chimistes
Research area
- Applied mathematics
- Modelisation
- Nonlinear dynamic
- Pharmacometrics
- Haematopoiesis
- Erythrocytes
- Neutropenia
- Delay differential equations
- Chaos theory
- Bifurcation theory
Research projects Expand all Collapse all
Dynamical Regulation in Biological Systems CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2024 - 2030
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 - 2024
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
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) / 2021 - 2024
Modélisation pharmacologique des systèmes appliquée à plusieurs domaines thérapeutiques: une approche intégrative pour les fondements de l'interaction entre la pathologie, le devenir et laction du médicament FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2020 - 2025
Modélisation pharmacologique des systèmes appliquée à plusieurs domaines thérapeutiques: une approche intégrative pour les fondements de l'interaction entre la pathologie, le devenir et laction 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
Stability and Hopf bifurcation analysis for functional differential equation with distributed delay
Delay induced oscillations in autonomous drug delivery systems
Erratum to: ``Oscillations in cyclical neutropenia: new evidence based on mathematical modeling''
Oscillations in cyclical neutropenia: new evidence based on mathematical modeling
Restrictions and unfolding of double Hopf bifurcation in functional differential equations
Numerical bifurcation analysis of delay differential equations arising from physiological modeling
Sufficient conditions for stability of linear differential equations with distributed delay
Resonant codimension two bifurcation in the harmonic oscillator with delayed forcing
Stability analysis of an age-structured model with a state-dependent delay
Bifurcations, stability, and monotonicity properties of a delayed neural network model
Stability in a three-dimensional system of delay-differential equations
Frustration, stability, and delay-induced oscillations in a neural network model
Limit cycles, tori, and complex dynamics in a second-order differential equation with delayed negative feedback
Complex dynamics and multistability in a damped harmonic oscillator with delayed negative feedback
Stability and bifurcations of equilibria in a multiple-delayed differential equation
Stability in a model of a delayed neural network
Chaos, noise, and extinction in models of population growth
A circle map in a human heart
Consumer memory and price fluctuations in commodity markets: an integrodifferential model
Itinerary of a discontinuous map from the continued fraction expansion
Growth properties of the solutions of a linear functional-differential equation
Sur le calcul de la dimension fractale
Periodic pulsatile stimulation of a nonlinear oscillator
Universality and self-similarity in the bifurcations of circle maps
On linearly coupled relaxation oscillations
Global bifurcations of a periodically forced biological oscillator
Self-similarity in periodically forced oscillators
Sur une équation différentielle fonctionnelle analytique