PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Siyan Zhang, Mari Royer.

Title:The Kermack-McKendrick Integral Equations: An Introduction
Seminar:CCMA Luncheon Seminar
Speaker:Warren Weckesser, Enthought, Inc.
Abstract:
The Kermack-McKendrick integral equations, introduced by Kermack and McKendrick in 1927, model the spread of an infectious disease in a homogeneously mixed population. The widely know system of three ordinary differential equations for the SIR epidemic model are a special case of the Kermack-McKendrick integral equations. In this talk, I will review the modeling assumptions that lead to the integral equations presented in the 1927 paper. I will show how the system may be expressed as a nonlinear Volterra integral equation, and give a proof of existence and uniqueness of the solution, using the standard method of successive approximations.

Room Reservation Information

Room Number:MB114
Date:09 / 19 / 2008
Time:12:15pm - 01:25pm