Gail S.K. Wolkowicz
Profile Photo
Professor
HH 318
(905) 525 9140 ext. 24808
(905) 522-0935
...

Research Area: Applied Mathematics, Mathematical Biology

Research Profile: Dynamical systems, bifurcation theory, population dynamics, mathematical ecology and epidemiology

My students and I have been formulating and analyzing models motivated by questions in ecology and epidemiology. For example, one goal is to better understand basic population dynamics so that measurable criteria can be developed, enabling scientists to predict combinations of cultures of micro-organisms most effective and safest for use in such processes as water purification and biological waste decomposition. Other applications include pest control, the prevention of species' extinction or the control or eradication of certain diseases. In order to elicit all the potential dynamics, a bifurcation theory approach is used so that the full spectrum of behaviour can be predicted for all appropriate parameter ranges and initial states. Computer simulations are used to elucidate complicated dynamics, to test conjectures, and to reveal properties of the models that are useful in developing analytic proofs. Symbolic computation is used to carry out complicated calculations. The analyses often lead to interesting abstract mathematical problems in dynamical systems, ordinary, integro- and functional differential equations, and bifurcation theory.

Dynamical systems, bifurcation theory, population dynamics, mathematical ecology and epidemiology

2017/2018
Math 2Z03
Math 3F03
Math 746

2016/2017
Math 2ZZ3
Math 741

2015/2016
Math 2Z03
Math 2ZZ3
Math 3DC3

2014/2015
Math 2C03

2013/2014
On Research Leave

Publications available here.

Currently Supervising:
Tedra Bolger (MSc Math)
Szymon Sobieszek (MSc Math)
Savannah Spilotro (MSc Math)
Tyler Meadows (PhD Math)
Liang Wang (Visiting Student)
Xin Zhang (Visiting Student)

Past Students:
Alexandra Teslya (PhD Math)
Madeleine Hill (MSc Math)

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