Skip to content

Archives › Volume 5, Number 2 (2015)

J. Math. Comput. Sci. 5 (2015), 172–187

A mathematical model on the control of cholera: hygiene consciousness as a strategy

M. Jeffrey Ochoche, E. Chinwendu Madubueze, T. Benjamin Akaabo

Abstract

We presented a mathematical model of cholera incorporating hygiene consciousness as a control strategy. We derived the Basic Reproduction number using the next generation approach. We showed that the disease free equilibrium state of the model is locally asymptotically stable if the basic reproduction number is less than unity. Numerical simulations showed that hygiene consciousness could be an effective means of controlling cholera as incrementing the hygiene consciousness parameter translate into a reduction in the disease prevalence.

Published
20 April 2015
Volume
5 (2015)
License
CC BY 3.0

Copyright © 2015 M. Jeffrey Ochoche, E. Chinwendu Madubueze, T. Benjamin Akaabo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

M. J. Ochoche, E. C. Madubueze, T. B. Akaabo, A mathematical model on the control of cholera: hygiene consciousness as a strategy, J. Math. Comput. Sci. 5 (2015), 172–187.

BibTeX
@article{Ochoche2015,
  author  = {Ochoche, M. Jeffrey and Madubueze, E. Chinwendu and Akaabo, T. Benjamin},
  title   = {A mathematical model on the control of cholera: hygiene consciousness as a strategy},
  journal = {J. Math. Comput. Sci.},
  volume  = {5},
  year    = {2015},
  pages   = {172--187},
  doi     = {}
}