Skip to content
Search events. View events.
 

All Categories

ADMIN LOGIN

Welcome to the Laurier Calendar of Events. Please use the Help button to the right for any assistance while using the Calendar.

Click for help in using calendar displays. Print the contents of the current screen.

Advanced Search

(New Search)
  From:
  To:


 

 


SEARCH
Event Details
Remind me about this event.Notify me if this event changes.Add this event to my personal calendar.Email this event to a friend.
Go Back
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
    Categories associated with this event:

    Calendar Software powered by Active Calendar and Active Data Calendar   
    Select item(s) to Search
    Select item(s) to Search
    Select item(s) to Search






    Select item(s) to Search