Sensitivity analysis of the parameters of an HIV/AIDS model with condom campaign and antiretroviral therapy

Noor Hidayat; Ratno Bagus Edy Wibowo

doi:10.1063/1.5016653

Sensitivity analysis of the parameters of an HIV/AIDS model with condom campaign and antiretroviral therapy

Faculty of Mathematics and Natural Sciences

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

7 Citations (Scopus)

Abstract

In this article, we present a deterministic model for the transmission dynamics of HIV/AIDS in which condom campaign and antiretroviral therapy are both important for the disease management. We calculate the effective reproduction number using the next generation matrix method and investigate the local and global stability of the disease-free equilibrium of the model. Sensitivity analysis of the effective reproduction number with respect to the model parameters were carried out. Our result shows that efficacy rate of condom campaign, transmission rate for contact with the asymptomatic infective, progression rate from the asymptomatic infective to the pre-AIDS infective, transmission rate for contact with the pre-AIDS infective, ARV therapy rate, proportion of the susceptible receiving condom campaign and proportion of the pre-AIDS receiving ARV therapy are highly sensitive parameters that effect the transmission dynamics of HIV/AIDS infection.

Original language	English
Title of host publication	International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017
Editors	Adem Kilicman, Marjono, Ratno Bagus Edy Wibowo, Moch. Aruman Imron
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735416055
DOIs	https://doi.org/10.1063/1.5016653
Publication status	Published - 5 Dec 2017
Event	International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017 - Malang, Indonesia Duration: 2 Aug 2017 → 3 Aug 2017

Publication series

Name	AIP Conference Proceedings
Volume	1913
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017
Country/Territory	Indonesia
City	Malang
Period	2/08/17 → 3/08/17

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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10.1063/1.5016653

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Marsudi , Hidayat, N., & Wibowo, R. B. E. (2017). Sensitivity analysis of the parameters of an HIV/AIDS model with condom campaign and antiretroviral therapy. In A. Kilicman, Marjono, R. B. E. Wibowo, & M. A. Imron (Eds.), International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017 Article 020019 (AIP Conference Proceedings; Vol. 1913). American Institute of Physics Inc.. https://doi.org/10.1063/1.5016653

Marsudi, ; Hidayat, Noor ; Wibowo, Ratno Bagus Edy. / Sensitivity analysis of the parameters of an HIV/AIDS model with condom campaign and antiretroviral therapy. International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017. editor / Adem Kilicman ; Marjono ; Ratno Bagus Edy Wibowo ; Moch. Aruman Imron. American Institute of Physics Inc., 2017. (AIP Conference Proceedings).

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title = "Sensitivity analysis of the parameters of an HIV/AIDS model with condom campaign and antiretroviral therapy",

abstract = "In this article, we present a deterministic model for the transmission dynamics of HIV/AIDS in which condom campaign and antiretroviral therapy are both important for the disease management. We calculate the effective reproduction number using the next generation matrix method and investigate the local and global stability of the disease-free equilibrium of the model. Sensitivity analysis of the effective reproduction number with respect to the model parameters were carried out. Our result shows that efficacy rate of condom campaign, transmission rate for contact with the asymptomatic infective, progression rate from the asymptomatic infective to the pre-AIDS infective, transmission rate for contact with the pre-AIDS infective, ARV therapy rate, proportion of the susceptible receiving condom campaign and proportion of the pre-AIDS receiving ARV therapy are highly sensitive parameters that effect the transmission dynamics of HIV/AIDS infection.",

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language = "English",

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Marsudi, , Hidayat, N & Wibowo, RBE 2017, Sensitivity analysis of the parameters of an HIV/AIDS model with condom campaign and antiretroviral therapy. in A Kilicman, Marjono, RBE Wibowo & MA Imron (eds), International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017., 020019, AIP Conference Proceedings, vol. 1913, American Institute of Physics Inc., International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017, Malang, Indonesia, 2/08/17. https://doi.org/10.1063/1.5016653

Sensitivity analysis of the parameters of an HIV/AIDS model with condom campaign and antiretroviral therapy. / Marsudi, ; Hidayat, Noor ; Wibowo, Ratno Bagus Edy.
International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017. ed. / Adem Kilicman; Marjono; Ratno Bagus Edy Wibowo; Moch. Aruman Imron. American Institute of Physics Inc., 2017. 020019 (AIP Conference Proceedings; Vol. 1913).

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

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T1 - Sensitivity analysis of the parameters of an HIV/AIDS model with condom campaign and antiretroviral therapy

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AU - Hidayat, Noor

AU - Wibowo, Ratno Bagus Edy

PY - 2017/12/5

Y1 - 2017/12/5

N2 - In this article, we present a deterministic model for the transmission dynamics of HIV/AIDS in which condom campaign and antiretroviral therapy are both important for the disease management. We calculate the effective reproduction number using the next generation matrix method and investigate the local and global stability of the disease-free equilibrium of the model. Sensitivity analysis of the effective reproduction number with respect to the model parameters were carried out. Our result shows that efficacy rate of condom campaign, transmission rate for contact with the asymptomatic infective, progression rate from the asymptomatic infective to the pre-AIDS infective, transmission rate for contact with the pre-AIDS infective, ARV therapy rate, proportion of the susceptible receiving condom campaign and proportion of the pre-AIDS receiving ARV therapy are highly sensitive parameters that effect the transmission dynamics of HIV/AIDS infection.

AB - In this article, we present a deterministic model for the transmission dynamics of HIV/AIDS in which condom campaign and antiretroviral therapy are both important for the disease management. We calculate the effective reproduction number using the next generation matrix method and investigate the local and global stability of the disease-free equilibrium of the model. Sensitivity analysis of the effective reproduction number with respect to the model parameters were carried out. Our result shows that efficacy rate of condom campaign, transmission rate for contact with the asymptomatic infective, progression rate from the asymptomatic infective to the pre-AIDS infective, transmission rate for contact with the pre-AIDS infective, ARV therapy rate, proportion of the susceptible receiving condom campaign and proportion of the pre-AIDS receiving ARV therapy are highly sensitive parameters that effect the transmission dynamics of HIV/AIDS infection.

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BT - International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017

A2 - Kilicman, Adem

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Marsudi , Hidayat N , Wibowo RBE. Sensitivity analysis of the parameters of an HIV/AIDS model with condom campaign and antiretroviral therapy. In Kilicman A, Marjono, Wibowo RBE, Imron MA, editors, International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017. American Institute of Physics Inc. 2017. 020019. (AIP Conference Proceedings). doi: 10.1063/1.5016653

Sensitivity analysis of the parameters of an HIV/AIDS model with condom campaign and antiretroviral therapy

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