Optimal Control Problem and Cost-Effectiveness Analysis of Schistosomiasis Model

Wahyudin Nur; Agus Suryanto; Wuryansari Muharini Kusumawinahyu

doi:10.1063/5.0082984

Optimal Control Problem and Cost-Effectiveness Analysis of Schistosomiasis Model

Wahyudin Nur
, Trisilowati^*
, Agus Suryanto
, Wuryansari Muharini Kusumawinahyu

^*Corresponding author for this work

Faculty of Mathematics and Natural Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

In this paper, we study optimal control and cost-effectiveness of several schistosomiasis control strategies. The control strategies investigated are health education, molluscicide use, and the combination of health education and molluscicide intervention. To solve the optimal control problem, we use Pontryagin's maximum principle. We compute the average cost-effectiveness ratio (ACER) and incremental cost-effectiveness ratio (ICER) to identify the most cost-effective strategy. The results show that the most cost-effective strategy to control schistosomiasis in the region with adequate sanitation is health education intervention. On the other hand, molluscicide intervention is the most cost-effective strategy to control schistosomiasis in the region with inadequate sanitation. Furthermore, the most effective strategy to eliminate schistosomiasis is the combination of health education and molluscicide intervention.

Original language	English
Title of host publication	8th Symposium on Biomathematics, Symomath 2021
Subtitle of host publication	Bridging Mathematics and Covid-19 Through Multidisciplinary Collaboration
Editors	Noorma Yulia Megawati, Nanang Susyanto, Dwi Ertiningsih, Eminugroho Ratna Sari, Fitriana Yuli Saptaningtyas, Made Tantrawan, Oki Almas Amalia, Susiana
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735443648
DOIs	https://doi.org/10.1063/5.0082984
Publication status	Published - 2 Aug 2022
Event	8th Symposium on Biomathematics: Bridging Mathematics and Covid-19 Through Multidisciplinary Collaboration, Symomath 2021 - Yogyakarta, Indonesia Duration: 16 Jul 2021 → 17 Jul 2021

Publication series

Name	AIP Conference Proceedings
Volume	2498
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	8th Symposium on Biomathematics: Bridging Mathematics and Covid-19 Through Multidisciplinary Collaboration, Symomath 2021
Country/Territory	Indonesia
City	Yogyakarta
Period	16/07/21 → 17/07/21

UN SDGs

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

SDG 6 Clean Water and Sanitation

Access to Document

10.1063/5.0082984

Cite this

Nur, W., Trisilowati , Suryanto, A., & Kusumawinahyu, W. M. (2022). Optimal Control Problem and Cost-Effectiveness Analysis of Schistosomiasis Model. In N. Y. Megawati, N. Susyanto, D. Ertiningsih, E. R. Sari, F. Y. Saptaningtyas, M. Tantrawan, O. A. Amalia, & Susiana (Eds.), 8th Symposium on Biomathematics, Symomath 2021: Bridging Mathematics and Covid-19 Through Multidisciplinary Collaboration Article 020011 (AIP Conference Proceedings; Vol. 2498). American Institute of Physics Inc.. https://doi.org/10.1063/5.0082984

Nur, Wahyudin ; Trisilowati, ; Suryanto, Agus et al. / Optimal Control Problem and Cost-Effectiveness Analysis of Schistosomiasis Model. 8th Symposium on Biomathematics, Symomath 2021: Bridging Mathematics and Covid-19 Through Multidisciplinary Collaboration. editor / Noorma Yulia Megawati ; Nanang Susyanto ; Dwi Ertiningsih ; Eminugroho Ratna Sari ; Fitriana Yuli Saptaningtyas ; Made Tantrawan ; Oki Almas Amalia ; Susiana. American Institute of Physics Inc., 2022. (AIP Conference Proceedings).

@inproceedings{bcd88b5d84aa40beaf93b3782bb782d8,

title = "Optimal Control Problem and Cost-Effectiveness Analysis of Schistosomiasis Model",

abstract = "In this paper, we study optimal control and cost-effectiveness of several schistosomiasis control strategies. The control strategies investigated are health education, molluscicide use, and the combination of health education and molluscicide intervention. To solve the optimal control problem, we use Pontryagin's maximum principle. We compute the average cost-effectiveness ratio (ACER) and incremental cost-effectiveness ratio (ICER) to identify the most cost-effective strategy. The results show that the most cost-effective strategy to control schistosomiasis in the region with adequate sanitation is health education intervention. On the other hand, molluscicide intervention is the most cost-effective strategy to control schistosomiasis in the region with inadequate sanitation. Furthermore, the most effective strategy to eliminate schistosomiasis is the combination of health education and molluscicide intervention.",

author = "Wahyudin Nur and Trisilowati and Agus Suryanto and Kusumawinahyu, \{Wuryansari Muharini\}",

note = "Publisher Copyright: {\textcopyright} 2022 American Institute of Physics Inc.. All rights reserved.; 8th Symposium on Biomathematics: Bridging Mathematics and Covid-19 Through Multidisciplinary Collaboration, Symomath 2021 ; Conference date: 16-07-2021 Through 17-07-2021",

year = "2022",

month = aug,

day = "2",

doi = "10.1063/5.0082984",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Megawati, \{Noorma Yulia\} and Nanang Susyanto and Dwi Ertiningsih and Sari, \{Eminugroho Ratna\} and Saptaningtyas, \{Fitriana Yuli\} and Made Tantrawan and Amalia, \{Oki Almas\} and Susiana",

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Nur, W, Trisilowati, , Suryanto, A & Kusumawinahyu, WM 2022, Optimal Control Problem and Cost-Effectiveness Analysis of Schistosomiasis Model. in NY Megawati, N Susyanto, D Ertiningsih, ER Sari, FY Saptaningtyas, M Tantrawan, OA Amalia & Susiana (eds), 8th Symposium on Biomathematics, Symomath 2021: Bridging Mathematics and Covid-19 Through Multidisciplinary Collaboration., 020011, AIP Conference Proceedings, vol. 2498, American Institute of Physics Inc., 8th Symposium on Biomathematics: Bridging Mathematics and Covid-19 Through Multidisciplinary Collaboration, Symomath 2021, Yogyakarta, Indonesia, 16/07/21. https://doi.org/10.1063/5.0082984

Optimal Control Problem and Cost-Effectiveness Analysis of Schistosomiasis Model. / Nur, Wahyudin; Trisilowati, ; Suryanto, Agus et al.
8th Symposium on Biomathematics, Symomath 2021: Bridging Mathematics and Covid-19 Through Multidisciplinary Collaboration. ed. / Noorma Yulia Megawati; Nanang Susyanto; Dwi Ertiningsih; Eminugroho Ratna Sari; Fitriana Yuli Saptaningtyas; Made Tantrawan; Oki Almas Amalia; Susiana. American Institute of Physics Inc., 2022. 020011 (AIP Conference Proceedings; Vol. 2498).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Optimal Control Problem and Cost-Effectiveness Analysis of Schistosomiasis Model

AU - Nur, Wahyudin

AU - Trisilowati,

AU - Suryanto, Agus

AU - Kusumawinahyu, Wuryansari Muharini

PY - 2022/8/2

Y1 - 2022/8/2

N2 - In this paper, we study optimal control and cost-effectiveness of several schistosomiasis control strategies. The control strategies investigated are health education, molluscicide use, and the combination of health education and molluscicide intervention. To solve the optimal control problem, we use Pontryagin's maximum principle. We compute the average cost-effectiveness ratio (ACER) and incremental cost-effectiveness ratio (ICER) to identify the most cost-effective strategy. The results show that the most cost-effective strategy to control schistosomiasis in the region with adequate sanitation is health education intervention. On the other hand, molluscicide intervention is the most cost-effective strategy to control schistosomiasis in the region with inadequate sanitation. Furthermore, the most effective strategy to eliminate schistosomiasis is the combination of health education and molluscicide intervention.

AB - In this paper, we study optimal control and cost-effectiveness of several schistosomiasis control strategies. The control strategies investigated are health education, molluscicide use, and the combination of health education and molluscicide intervention. To solve the optimal control problem, we use Pontryagin's maximum principle. We compute the average cost-effectiveness ratio (ACER) and incremental cost-effectiveness ratio (ICER) to identify the most cost-effective strategy. The results show that the most cost-effective strategy to control schistosomiasis in the region with adequate sanitation is health education intervention. On the other hand, molluscicide intervention is the most cost-effective strategy to control schistosomiasis in the region with inadequate sanitation. Furthermore, the most effective strategy to eliminate schistosomiasis is the combination of health education and molluscicide intervention.

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DO - 10.1063/5.0082984

M3 - Conference contribution

AN - SCOPUS:85136791707

T3 - AIP Conference Proceedings

BT - 8th Symposium on Biomathematics, Symomath 2021

A2 - Megawati, Noorma Yulia

A2 - Susyanto, Nanang

A2 - Ertiningsih, Dwi

A2 - Sari, Eminugroho Ratna

A2 - Saptaningtyas, Fitriana Yuli

A2 - Tantrawan, Made

A2 - Amalia, Oki Almas

A2 - Susiana, null

PB - American Institute of Physics Inc.

T2 - 8th Symposium on Biomathematics: Bridging Mathematics and Covid-19 Through Multidisciplinary Collaboration, Symomath 2021

Y2 - 16 July 2021 through 17 July 2021

ER -

Nur W, Trisilowati , Suryanto A , Kusumawinahyu WM. Optimal Control Problem and Cost-Effectiveness Analysis of Schistosomiasis Model. In Megawati NY, Susyanto N, Ertiningsih D, Sari ER, Saptaningtyas FY, Tantrawan M, Amalia OA, Susiana, editors, 8th Symposium on Biomathematics, Symomath 2021: Bridging Mathematics and Covid-19 Through Multidisciplinary Collaboration. American Institute of Physics Inc. 2022. 020011. (AIP Conference Proceedings). doi: 10.1063/5.0082984

Optimal Control Problem and Cost-Effectiveness Analysis of Schistosomiasis Model

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