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The Differential Equations and Dynamical Systems Group

Contents:
  1. Faculty
  2. Current Graduate Students
  3. Recent Graduates
  4. Courses
  5. Journals

Faculty

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  • Hermann Brunner
    Numerical analysis of Volterra-type integral and integro-differential equations; Computational solution of nonlinear reaction-diffusion problems with memory terms and blow-up solutions.
  • Andy Foster
    Dynamical systems; Mathematical modelling; Applications in ecology, cell population biology, physiology and finance.
  • Chun-Hua Ou
    Applied differential equations (PDEs and ODEs) and dynamical systems; Mathematical biology; Applied analysis methods for differential equations.
  • Amy Hurford
    Mathematical modelling in biology; Applications to epidemiology, evolutionary biology, and ecology; Model parametrization and selection.
  • Danny Summers
    Nonlinear dynamics in the sciences; Modelling; Applications in the physical sciences
  • Yuan Yuan
    Delay differential equations; Dynamical systems; Neural network; Computation of differential equations (symbolic and numerical)
  • Xiaoqiang Zhao
    Asymptotic behavior and special solutions of nonlinear evolution equations; Global dynamics and stability in infinite dimensional dynamical systems; Mathematical models in population biology and epidemiology.

Graduate Students

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Name Program Years in Program Supervisor(s)
Carl Howell M.Sc. (part-time) 2001- Foster / Gosine
Riu Hu Ph.D. 2006- Yuan
Yu Jin Ph.D. 2005- Zhao
Brian Johansen M.Sc. 2004- Brunner
Yijun Lou Ph.D. 2007- Zhao
Cathy McFadyen M.Sc. (part-time) 2004- Foster / Anderson
Zakaria Mohamad M.Sc. 2006- Yuan
Shannon Sullivan Ph.D. (part-time) 2001- Foster / Grant
Michael White M.Sc. 2005-2008 Zhao
Wei Yuan M.Sc. 2006- Ou / Yuan
Zhaoyu Yin M.Sc. 2007- Brunner


Recent Graduates

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Name Program Supervisor(s) Thesis Title Current Status
Natasha Kirby M.Sc. ('06) Foster Dynamical systems models of asset pricing Ph.D., University of Western Ontario
Leo Lee M.Sc. ('06) Yuan Stability and bifurcation in systems of tri-neurons with multiple time delays China
Jingtang Ma Ph.D. ('04) Brunner Discontinuous Galerkin methods and cascading multigrid methods for integro-differential equations Assistant Professor, Institute of Computational Mathematics, Chinese Academy of Sciences, Beijing
Jessica Rose M.Sc. ('06) Foster / Grant Dynamical systems analysis of HIV immunopathogenesis and the effects of antiretroviral treatment interruption Ph.D., Bar-Ilan University, Israel
Robin Swain M.Sc. ('03) Foster The Morris-Lecar equations with delay Ph.D., Imperial College, UK
Lin Wang Ph.D. ('03) Zou Dynamics of some neural network models Assistant professor, Dept. of Math and Statistics, Univ. of New Brunswick, Canada
Dashun Xu Ph.D. ('04) Zhao Asymptotic behaviour and traveling waves for some population models Assistant professor, Dept. of Math, South Illinois University, USA
Fang Zhang Ph.D. ('06) Zhao Global dynamics of some spatially heterogeneous population models Postdoctoral fellow, Univ. of New Brunswick, Canada


Courses

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Undergraduate Courses

Graduate Courses

  • MATH 6100 Dynamical Systems
  • MATH 6102 Mathematical Biology
  • MATH 6104 Infinite Dimensional Dynamical Systems
  • MATH 6121 Functional Differential Equations

Journals

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There are a lot of journals in differential equations and dynamical systems. Many of the following journals are available, either electronically or in hardcopy format at the Queen Elizabeth II Library.

  • Advances in Differential Equations
  • Communications in Partial Differential Equations
  • Differential and Integral Equations
  • Discrete and Continuous Dynamical Systems
  • Dynamics of Continuous, Discrete and Impulsive Systems
  • Ergodic Theory and Dynamical Systems
  • Int. J. Bifurcation and Chaos
  • J. Differential Equations
  • J. Dynamics and Differential Equations
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