MATH 4MB3/6MB3, Winter 2019
The goal of Math 4MB3/6MB3 is to use various mathematical and statistical modelling approaches to better understand biological systems. The course focuses mainly on modelling disease spread through time, but also discusses topics in ecology and evolutionary biology. We first discuss various modelling approaches for short time periods in the context of a single epidemic. We then approach the more complex problem of modelling recurring epidemics. Lastly, we approach spatio-temporal modelling. The modelling techniques presented are discussed in the context of the mathematics underlying them and of their meaning in a biological context. Another goal of the course is to introduce students to primary literature in mathematical biology. The prerequisites for the course are a basic knowledge of the qualitative theory of differential equations (Math 3F03) and an interest in applying those techniques to models of biological systems. The course is considered to be the capstone course for the math stream of the combined honours program in Biology and Mathematics, but no particular material about biology will be assumed.
INSTRUCTOR: D. Earn
Population dynamics: models of discrete and continuous growth; competition and predation; epidemic models. Other topics selected by instructor.
Three lectures; one term
Prerequisite(s): MATH 3F03
Antirequisite(s): MATH 3N03
PLEASE REFER TO MOSAIC FOR THE MOST UP-TO-DATE INFORMATION ON TIMES AND ROOMS