Nelson
Veale
email:ndveale@mail.ecsu.edu
Mentor:
Dr. Jeff Scroggs
Internship: North Carolina State University,
Minority Graduate Educational Research Program
Title: Simulating Epidemic Models of the
Influenza Virus Using MatLab
MatLab
is a technical computing program that allows users to do numeric
computation, advanced graphics and visualizations, or high
level programming. The main objective is to use matlab to
develop programs that can simulate several epidemic models
of the influenza virus using two ordinary differential equation
models. We first derive the SIR epidemic model developed by
Kermack and McKendrick and a more complex model known as SEIRS
model. These two models determined the number of people being
susceptible to the virus, being infected by the virus, and
actually recovered from the virus. Next, the two models are
coded into matlab to give an approximated solution using numerical
methods. Finally, data retrieved from the Center for Disease
Control website and other resourceful information are use
to create several epidemic models of the influenza virus.
We hope that several simulations of the two epidemic models
using the influenza virus will help us to gain understanding
of how to predict the spread of various diseases.
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