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Stability in Mathematical Biology
Start Date: 1/30/2019Start Time: 4:00 PM
End Date: 1/30/2019End Time: 4:50 PM
Event Description:

Department of Mathematics Seminar Speaker:  Professor Connell McCluskey, Department of Mathematics, Wilfrid Laurier University

Title: Stability in Mathematical Biology

Abstract

In the 1920's, Alfred Lotka and Vito Volterra (working separately) developed the same mathematical model of a predator-prey system.  The solutions of this system are periodic and can be graphed as closed loops in the xy-plane.  This can be shown by using a simple function g(x) = x - 1 - ln(x). In the early 2000's, the same function was used to study 2- and 3-dimensional models of disease spread – this time showing that solutions were not periodic.  Instead, it was shown that solutions would tend to a constant value called an equilibrium. We say that the equilibrium is globally asymptotically stable. A few years later, the same function was used to show that higher dimensional disease models had a globally asymptotically stable equilibrium.  More recently, it was used for infinite dimensional disease models. I will give an introduction to this area, including some recent projects that students at Laurier have worked on.

Location Information:
Waterloo - Lazaridis Hall
Room: LH3060
Contact Information:
Name: Dr. Kaiming Zhao
Phone: 519.884.0710 x2444
Email: kzhao@wlu.ca
Audience(s):
  • Everyone (open to public)
  • Event Organizer(s):
  • Faculty of Science
  • Cost:
    Free
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