For more information about this meeting, contact Siyan Zhang, Mari Royer.
| Title: | The Kermack-McKendrick Integral Equations: An Introduction |
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| Seminar: | CCMA Luncheon Seminar |
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| Speaker: | Warren Weckesser, Enthought, Inc. |
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| Abstract: |
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| 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 |
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| Date: | 09 / 19 / 2008 |
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| Time: | 12:15pm - 01:25pm |
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