A5029557067- Nonlinear Dynamics and Pattern Formation
- Mathematical and Theoretical Epidemiology and Ecology Models
- COVID-19 epidemiological studies
- stochastic dynamics and bifurcation
- Chaos control and synchronization
- Advanced Differential Equations and Dynamical Systems
- Neural dynamics and brain function
- SARS-CoV-2 and COVID-19 Research
- Erythrocyte Function and Pathophysiology
- Neural Networks Stability and Synchronization
- Neural Networks and Applications
- Blood disorders and treatments
- Vaccine Coverage and Hesitancy
- Gene Regulatory Network Analysis
- Bacillus and Francisella bacterial research
- Quantum chaos and dynamical systems
- Neutropenia and Cancer Infections
- Cardiac electrophysiology and arrhythmias
- Evolution and Genetic Dynamics
- Poxvirus research and outbreaks
- Platelet Disorders and Treatments
- Receptor Mechanisms and Signaling
- Mathematical Dynamics and Fractals
- Blood properties and coagulation
- EEG and Brain-Computer Interfaces
Université de Montréal
2015-2024
York University
2020-2022
Public Health Agency of Canada
2022
University Health Network
2022
University of Toronto
2022
Shanxi University
2022
Toronto Public Health
2022
McGill University
1995-2021
Hôpital du Sacré-Cœur de Montréal
2011
Université du Québec à Montréal
1993
The effect of time delays on the linear stability equilibria in an artificial neural network Hopfield type is analyzed. possibility delay-induced oscillations occurring characterized terms properties (not necessarily symmetric) connection matrix network.Such are possible exactly when frustrated, equivalently signed digraph does not require Perron property. Nonlinear analysis (centre manifold computation) a three-unit frustrated presented, giving nature bifurcations taking place. A...
The influence of multiple negative delayed feedback loops on the stability a single-action mechanism are considered. A characteristic equation for linearized equilibrium is completely analyzed, as function two parameters describing delay in one loop and ratio gains loops. bifurcations occurring linear lost analyzed by construction centre manifold. In particular, nature Hopf more degenerate, higher codimension explicitly determined.
A single brief current pulse delivered to a spontaneously beating aggregate of cardiac cells from embryonic chick heart will reset the rhythm aggregate. The resetting depends on both magnitude stimulus and phase in cycle at which is delivered. Experimental data are fitted an analytic function. This function, turn, used construct first return or Poincar\'e map can be iterated predict effects periodic pulsatile stimulation for any particular combination frequency amplitude stimulation. As...
To design models of the spread coronavirus disease-2019 (COVID-19) in Wuhan and effect Fangcang shelter hospitals (rapidly-built temporary hospitals) on control epidemic.We used data daily reported confirmed cases COVID-19, recovered deaths from official website Municipal Health Commission to build compartmental for three phases COVID-19 epidemic. We incorporated hospital-bed capacity both designated hospitals. assess success strategy adopted epidemic.Based 13 348 beds practice, our show...
To model the spread of monkeypox (MPX) in a metropolitan area for assessing risk possible outbreaks, and identifying essential public health measures to contain virus spread. The animal reservoir is key element modeling zoonotic disease. Using One Health approach, we MPX humans considering potential hosts such as rodents (e.g., rats, mice, squirrels, chipmunks, etc.) emphasize their role transmission high-risk group, including gay bisexual men-who-have-sex-with-men (gbMSM). From sensitivity...
Dynamical diseases are characterized by sudden changes in the qualitative dynamics of physiological processes, leading to abnormal and disease. Thus, there is a natural matching between mathematical field nonlinear medicine. This paper summarizes advances study dynamical disease with emphasis on NATO Advanced Research Worshop held Mont Tremblant, Quebec, Canada February 1994. We describe international effort currently underway identify these from perspective dynamics. Linear time series...
We develop conditions for the stability of constant (steady state) solutions oflinear delay differential equations with distributed when only information about moments density delays is available. use Laplace transforms to investigate properties different distributions delay. give a method parametrically determine boundary region stability, and sufficient based on expectation distribution also obtain result skewness distribution. These results are illustrated recent model peripheral...
Initial efforts to mitigate the COVID-19 pandemic have relied heavily on non-pharmaceutical interventions (NPIs), including physical distancing, hand hygiene, and mask-wearing. However, an effective vaccine is essential containing spread of virus. We developed a compartmental model examine different strategies for controlling COVID-19. Our framework accounts testing rates, test-turnaround times, vaccination waning immunity. Using reported case data from city Toronto, Canada between Mar-Dec,...
A center manifold reduction and numerical calculations are used to demonstrate the presence of limit cycles, two-tori, multistability in damped harmonic oscillator with delayed negative feedback. This model is prototype a mechanical system operating Complex dynamics thus seen arise very plausible commonly occurring neuromechanical feedback systems. (c) 1995 American Institute Physics.
Since December 2020, public health agencies have implemented a variety of vaccination strategies to curb the spread SARS-CoV-2, along with pre-existing Nonpharmaceutical Interventions (NPIs). Initial focused on vaccinating elderly prevent hospitalizations and deaths, but vaccines becoming available broader population, it became important determine optimal strategy enable safe lifting NPIs while avoiding virus resurgence.
The monkeypox outbreak in non-endemic countries recent months has led the World Health Organization (WHO) to declare a public health emergency of international concern (PHEIC). It is thought that festivals, parties, and other gatherings may have contributed outbreak.