The dynamics of tuberculosis transmission with optimal control analysis in indonesia

Utami D. Purwati; Moh I. Utoyo; Cicik Alfiniyah; Yuni Prihartini

doi:10.28919/cmbn/4605

The dynamics of tuberculosis transmission with optimal control analysis in indonesia

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

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

This paper proposes the dynamics of tuberculosis (TB) transmission in Indonesia through a mathemat ical 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.

Original language	English
Article number	25
Pages (from-to)	1-17
Number of pages	17
Journal	Communications in Mathematical Biology and Neuroscience
Volume	2020
DOIs	https://doi.org/10.28919/cmbn/4605
Publication status	Published - 2020

Keywords

Model
Optimal control
Parameter estimation
Stability
Tuberculosis

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.28919/cmbn/4605

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title = "The dynamics of tuberculosis transmission with optimal control analysis in indonesia",

abstract = "This paper proposes the dynamics of tuberculosis (TB) transmission in Indonesia through a mathemat ical 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.",

keywords = "Model, Optimal control, Parameter estimation, Stability, Tuberculosis",

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T1 - The dynamics of tuberculosis transmission with optimal control analysis in indonesia

AU - Fatmawati,

AU - Purwati, Utami D.

AU - Utoyo, Moh I.

AU - Alfiniyah, Cicik

AU - Prihartini, Yuni

PY - 2020

Y1 - 2020

N2 - This paper proposes the dynamics of tuberculosis (TB) transmission in Indonesia through a mathemat ical 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.

AB - This paper proposes the dynamics of tuberculosis (TB) transmission in Indonesia through a mathemat ical 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.

KW - Model

KW - Optimal control

KW - Parameter estimation

KW - Stability

KW - Tuberculosis

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DO - 10.28919/cmbn/4605

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SN - 2052-2541

VL - 2020

SP - 1

EP - 17

JO - Communications in Mathematical Biology and Neuroscience

JF - Communications in Mathematical Biology and Neuroscience

M1 - 25

ER -

The dynamics of tuberculosis transmission with optimal control analysis in indonesia

Abstract

Keywords

UN SDGs

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