Wolkowicz, Gail S.K.

Professor, Ph.D. (Alberta)

wolkowiczDept. of Mathematics & Statistics, McMaster University
1280 Main Street West
Hamilton, Ontario,
Canada L8S 4K1
905-525-9140, ext. 24808
905-522-0935 (fax)


wolkowic@mcmaster.ca
Office: HH/318
Website: http://ms.mcmaster.ca/~wolkowic/

Research

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.

Publications

Publications available here

Graduate Students

Current:
Tedra Bolger (MSc Math)
Brydon Eastman (MSc Math)
Savannah Spilotro (MSc Math)
Tyler Meadows (PhD Math)

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


Teaching

COURSES

2016/2017

Math 2ZZ3 

Math 741 


Office Hours

 ________________________

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

2014/2015
Math 2C03


2013/2014

On Research Leave