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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2020 (2020)

Commun. Math. Biol. Neurosci. 2020 (2020), Article ID 25

The dynamics of tuberculosis transmission with optimal control analysis in Indonesia

Fatmawati -, Utami D. Purwati, Moh. I. Utoyo, Cicik Alfiniyah, Yuni Prihartini

PDF (197.3 KB) https://doi.org/10.28919/cmbn/4605

Abstract

This paper proposes the dynamics of tuberculosis (TB) transmission in Indonesia through a mathematical model. We determine the reproduction number and the equilibria. The parameters model is estimated based on TB data in Indonesia. We obtain the reproduction number of the TB model is R0 = 10.9635. This shows that eliminating TB in Indonesia requires more efforts. Thus, the optimal control strategy is performed to assess the effect of interventions in reducing TB transmission. We use three controls term in the form of prevention and two treatments. The simulation results indicate that the performance of three controls is the best strategy to reduce the spreading of TB disease among all strategies.

Published
13 May 2020
Volume
2020 (2020)
License
CC BY 3.0

Copyright © 2020 Fatmawati -, Utami D. Purwati, Moh. I. Utoyo, Cicik Alfiniyah, Yuni Prihartini. 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

F. -, U. D. Purwati, M. I. Utoyo, C. Alfiniyah, Y. Prihartini, The dynamics of tuberculosis transmission with optimal control analysis in Indonesia, Commun. Math. Biol. Neurosci. 2020 (2020), 25. https://doi.org/10.28919/cmbn/4605

BibTeX
@article{-2020,
  author  = {-, Fatmawati and Purwati, Utami D. and Utoyo, Moh. I. and Alfiniyah, Cicik and Prihartini, Yuni},
  title   = {The dynamics of tuberculosis transmission with optimal control analysis in Indonesia},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2020},
  year    = {2020},
  pages   = {25},
  doi     = {10.28919/cmbn/4605}
}