Optimal control and sensitivity analysis of HIV model with public health education campaign and antiretroviral therapy

Noor Hidayat; Ratno Bagus Edy Wibowo

doi:10.1063/1.5062797

Optimal control and sensitivity analysis of HIV model with public health education campaign and antiretroviral therapy

Faculty of Mathematics and Natural Sciences

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

10 Citations (Scopus)

Abstract

A deterministic mathematical model with public health education campaigns and antiretroviral therapy as control variables are formulated and analyzed using sensitivity analysis and optimal control theory (Pontryagin's Maximum Principle). The sensitivity analysis shows that by increasing the public health education campaign for susceptible individuals and providing antiretroviral therapy to infected individuals in the symptomatic stage has an effect in reducing the spread of the HIV infection. The most sensitive parameter is the efficacy rate of the public health education campaign, followed by the contact rate of susceptibles with an infective in the asymptomatic stage, followed by the progression rate from the infected class into the pre-AIDS class. The least sensitive parameter is the natural death rate. The numerical simulation of both systems, i.e. with control and without control shows that the combination of the two strategies helps to make a significant reduction in the number of infectives in the asymptomatic stage, the number of individuals in the pre-AIDS stage, and the number of individuals with full-blown AIDS.

Original language	English
Title of host publication	8th Annual Basic Science International Conference
Subtitle of host publication	Coverage of Basic Sciences toward the World's Sustainability Challenges
Editors	Corina Karim, Rodliyati Azrianingsih, Mauludi Ariesto Pamungkas, Yoga Dwi Jatmiko, Anna Safitri
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735417397
DOIs	https://doi.org/10.1063/1.5062797
Publication status	Published - 17 Oct 2018
Event	8th Annual Basic Science International Conference: Coverage of Basic Sciences toward the World's Sustainability Challanges, BaSIC 2018 - Malang, East Java, Indonesia Duration: 6 Mar 2018 → 7 Mar 2018

Publication series

Name	AIP Conference Proceedings
Volume	2021
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	8th Annual Basic Science International Conference: Coverage of Basic Sciences toward the World's Sustainability Challanges, BaSIC 2018
Country/Territory	Indonesia
City	Malang, East Java
Period	6/03/18 → 7/03/18

UN SDGs

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

SDG 3 Good Health and Well-being
SDG 5 Gender Equality

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10.1063/1.5062797

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Marsudi , Hidayat, N., & Wibowo, R. B. E. (2018). Optimal control and sensitivity analysis of HIV model with public health education campaign and antiretroviral therapy. In C. Karim, R. Azrianingsih, M. A. Pamungkas, Y. D. Jatmiko, & A. Safitri (Eds.), 8th Annual Basic Science International Conference: Coverage of Basic Sciences toward the World's Sustainability Challenges Article 060033 (AIP Conference Proceedings; Vol. 2021). American Institute of Physics Inc.. https://doi.org/10.1063/1.5062797

Marsudi, ; Hidayat, Noor ; Wibowo, Ratno Bagus Edy. / Optimal control and sensitivity analysis of HIV model with public health education campaign and antiretroviral therapy. 8th Annual Basic Science International Conference: Coverage of Basic Sciences toward the World's Sustainability Challenges. editor / Corina Karim ; Rodliyati Azrianingsih ; Mauludi Ariesto Pamungkas ; Yoga Dwi Jatmiko ; Anna Safitri. American Institute of Physics Inc., 2018. (AIP Conference Proceedings).

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title = "Optimal control and sensitivity analysis of HIV model with public health education campaign and antiretroviral therapy",

abstract = "A deterministic mathematical model with public health education campaigns and antiretroviral therapy as control variables are formulated and analyzed using sensitivity analysis and optimal control theory (Pontryagin's Maximum Principle). The sensitivity analysis shows that by increasing the public health education campaign for susceptible individuals and providing antiretroviral therapy to infected individuals in the symptomatic stage has an effect in reducing the spread of the HIV infection. The most sensitive parameter is the efficacy rate of the public health education campaign, followed by the contact rate of susceptibles with an infective in the asymptomatic stage, followed by the progression rate from the infected class into the pre-AIDS class. The least sensitive parameter is the natural death rate. The numerical simulation of both systems, i.e. with control and without control shows that the combination of the two strategies helps to make a significant reduction in the number of infectives in the asymptomatic stage, the number of individuals in the pre-AIDS stage, and the number of individuals with full-blown AIDS.",

author = "Marsudi and Noor Hidayat and Wibowo, \{Ratno Bagus Edy\}",

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year = "2018",

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doi = "10.1063/1.5062797",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

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Marsudi, , Hidayat, N & Wibowo, RBE 2018, Optimal control and sensitivity analysis of HIV model with public health education campaign and antiretroviral therapy. in C Karim, R Azrianingsih, MA Pamungkas, YD Jatmiko & A Safitri (eds), 8th Annual Basic Science International Conference: Coverage of Basic Sciences toward the World's Sustainability Challenges., 060033, AIP Conference Proceedings, vol. 2021, American Institute of Physics Inc., 8th Annual Basic Science International Conference: Coverage of Basic Sciences toward the World's Sustainability Challanges, BaSIC 2018, Malang, East Java, Indonesia, 6/03/18. https://doi.org/10.1063/1.5062797

Optimal control and sensitivity analysis of HIV model with public health education campaign and antiretroviral therapy. / Marsudi, ; Hidayat, Noor ; Wibowo, Ratno Bagus Edy.
8th Annual Basic Science International Conference: Coverage of Basic Sciences toward the World's Sustainability Challenges. ed. / Corina Karim; Rodliyati Azrianingsih; Mauludi Ariesto Pamungkas; Yoga Dwi Jatmiko; Anna Safitri. American Institute of Physics Inc., 2018. 060033 (AIP Conference Proceedings; Vol. 2021).

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

TY - GEN

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AU - Marsudi,

AU - Hidayat, Noor

AU - Wibowo, Ratno Bagus Edy

PY - 2018/10/17

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N2 - A deterministic mathematical model with public health education campaigns and antiretroviral therapy as control variables are formulated and analyzed using sensitivity analysis and optimal control theory (Pontryagin's Maximum Principle). The sensitivity analysis shows that by increasing the public health education campaign for susceptible individuals and providing antiretroviral therapy to infected individuals in the symptomatic stage has an effect in reducing the spread of the HIV infection. The most sensitive parameter is the efficacy rate of the public health education campaign, followed by the contact rate of susceptibles with an infective in the asymptomatic stage, followed by the progression rate from the infected class into the pre-AIDS class. The least sensitive parameter is the natural death rate. The numerical simulation of both systems, i.e. with control and without control shows that the combination of the two strategies helps to make a significant reduction in the number of infectives in the asymptomatic stage, the number of individuals in the pre-AIDS stage, and the number of individuals with full-blown AIDS.

AB - A deterministic mathematical model with public health education campaigns and antiretroviral therapy as control variables are formulated and analyzed using sensitivity analysis and optimal control theory (Pontryagin's Maximum Principle). The sensitivity analysis shows that by increasing the public health education campaign for susceptible individuals and providing antiretroviral therapy to infected individuals in the symptomatic stage has an effect in reducing the spread of the HIV infection. The most sensitive parameter is the efficacy rate of the public health education campaign, followed by the contact rate of susceptibles with an infective in the asymptomatic stage, followed by the progression rate from the infected class into the pre-AIDS class. The least sensitive parameter is the natural death rate. The numerical simulation of both systems, i.e. with control and without control shows that the combination of the two strategies helps to make a significant reduction in the number of infectives in the asymptomatic stage, the number of individuals in the pre-AIDS stage, and the number of individuals with full-blown AIDS.

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BT - 8th Annual Basic Science International Conference

A2 - Karim, Corina

A2 - Azrianingsih, Rodliyati

A2 - Pamungkas, Mauludi Ariesto

A2 - Jatmiko, Yoga Dwi

A2 - Safitri, Anna

PB - American Institute of Physics Inc.

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Y2 - 6 March 2018 through 7 March 2018

ER -

Marsudi , Hidayat N , Wibowo RBE. Optimal control and sensitivity analysis of HIV model with public health education campaign and antiretroviral therapy. In Karim C, Azrianingsih R, Pamungkas MA, Jatmiko YD, Safitri A, editors, 8th Annual Basic Science International Conference: Coverage of Basic Sciences toward the World's Sustainability Challenges. American Institute of Physics Inc. 2018. 060033. (AIP Conference Proceedings). doi: 10.1063/1.5062797

Optimal control and sensitivity analysis of HIV model with public health education campaign and antiretroviral therapy

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