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Investigating
cholera using an SIR model with age-class structure and
optimal control
K. Renee Fister, Holly Gaff, Elsa Schaefer, Glenna Buford and Bryce C. Norris
Vol. 9 (2016), No. 1, 83–100
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Abstract |
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The use of systems of differential equations in mathematical modeling in conjunction with epidemiology continues to be an area of focused research. This paper briefly acquaints readers with epidemiology, cholera, and the need for effective control strategies; discusses cholera dynamics through a variation on the SIR epidemiological model in which two separate age classes exist in a population; finds the numeric value for to be approximately using estimated parameters for Bangladesh; and employs an optimal control resulting in a suggestion that a protection control be implemented at the end of the monsoon season. |
Keywords
endemic cholera, SIR model, age class structure, ordinary
differential equations, optimal control
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Mathematical Subject Classification 2010
Primary: 35L45, 35L50, 92D30
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Milestones
Received: 7 January 2014
Revised: 7 December 2014
Accepted: 27 December 2014
Published: 17 December 2015
Communicated by Suzanne Lenhart
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Authors |
| K. Renee Fister | |
| Department of Mathematics and
Statistics Murray State University Murray, KY 42071 United States |
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| Holly Gaff | |
| Department of Biological
Sciences Old Dominion University Norfolk, VA 23529 United States |
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| Elsa Schaefer | |
| Department of Mathematics Marymount University Arlington, VA 22207 United States |
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| Glenna Buford | |
| Engineer Wooga GmbH Berlin Germany |
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| Bryce C. Norris | |
| Department of Mathematics and
Statistics Murray State University Murray, KY 42071 United States |
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