Document Type

Article

Publication Date

2016

DOI

10.2140/involve.2016.9.83

Publication Title

Involve, a Journal of Mathematics

Volume

9

Issue

1

Pages

83-100

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.

Comments

Mathematical subject classification 2010: 35L45, 35L50, 92D30

Rights

© Copyright 2016 Mathematical Sciences Publishers.

First published in Involve, a Journal of Mathematics in Vol. [9] ([2016]), No. [1}, published by Mathematical Sciences Publishers.

Original Publication Citation

Fister, K. R., Gaff, H., Schaefer, E., Buford, G., & Norris, B. C. (2016). Investigating cholera using an SIR model with age-class structure and optimal control. Involve, a Journal of Mathematics, 9(1), 83-100. https://doi.org/10.2140/involve.2016.9.83

ORCID

0000-0002-4034-2684 (Gaff)

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