Electron. J. Diff. Equ.,
Vol. 2015 (2015), No. 50, pp. 1-14.
Optimal control of an SIR model with changing behavior through an
education campaign
Hem Raj Joshi, Suzanne Lenhart, Sanjukta Hota, Folashade Agusto
Abstract:
An SIR type model is expanded to include the use of education or information
given to the public as a control to manage a disease outbreak when
effective treatments or vaccines are not readily available or too costly
to be widely used. The information causes a change in behavior resulting in
three susceptible classes. We study stability analysis and use optimal
control theory on the system of differential equations to achieve the goal
of minimizing the infected population (while minimizing the cost).
We illustrate our results with some numerical simulations.
Submitted February 4, 2014. Published February 19, 2015.
Math Subject Classifications: 35K55, 49K20
Key Words: Effect of education on SIR models; optimal control.
Show me the PDF file (294 KB),
TEX file, and other files for this article.
 |
Hem Raj Joshi
Dept. of Mathematics and Computer Science
Xavier University
Cincinnati, OH 45207-4441, USA
email: joshi@xavier.edu
|
|---|
 |
Suzanne Lenhart
Dept. of Mathematics
University of Tennessee
Knoxville, TN 37996-1320, USA
email: lenhart@math.utk.edu
|
|---|
 |
Sanjukta Hota
Dept. of Mathematics and Computer Science
Fisk University
Nashville, TN 37208, USA
email: sanjuktahota@gmail.com
|
|---|
 |
Folashade Agusto
Dept. of Mathematics and Statistics
Austin Peay State University
Clarksville, TN 37044, USA
email: fbagusto@gmail.com
|
|---|
Return to the EJDE web page