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# Bélair, Jacques

Full Professor

Faculty of Arts and Science - Department of Mathematics and Statistics

514 343-6713

### Affiliations

• Membre Centre de recherches mathématiques
• Membre CRM  Centre de recherches mathématiques

### Courses

• MAT3450 A - Introduction à la modélisation mathématique

### Selected publications Expand allCollapse 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.