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2016 Investigating cholera using an SIR model with age-class structure and optimal control
K. Renee Fister, Holly Gaff, Elsa Schaefer, Glenna Buford, Bryce Norris
Involve 9(1): 83-100 (2016). DOI: 10.2140/involve.2016.9.83

Abstract

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 R0 to be approximately 1.54 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.

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K. Renee Fister. Holly Gaff. Elsa Schaefer. Glenna Buford. Bryce Norris. "Investigating cholera using an SIR model with age-class structure and optimal control." Involve 9 (1) 83 - 100, 2016. https://doi.org/10.2140/involve.2016.9.83

Information

Received: 7 January 2014; Revised: 7 December 2014; Accepted: 27 December 2014; Published: 2016
First available in Project Euclid: 22 November 2017

zbMATH: 1338.92126
MathSciNet: MR3438447
Digital Object Identifier: 10.2140/involve.2016.9.83

Subjects:
Primary: 35L45 , 35L50 , 92D30

Keywords: age class structure , endemic cholera , optimal control , ordinary differential equations , SIR model

Rights: Copyright © 2016 Mathematical Sciences Publishers

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