The dynamics of tuberculosis transmission with optimal control analysis in Indonesia

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

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.

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Published: 2020-05-13

How to Cite this Article:

Fatmawati -, Utami D. Purwati, Moh. I. Utoyo, Cicik Alfiniyah, Yuni Prihartini, The dynamics of tuberculosis transmission with optimal control analysis in Indonesia, Commun. Math. Biol. Neurosci., 2020 (2020), Article ID 25

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.

Commun. Math. Biol. Neurosci.

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