A sensitivity analysis of the impact of educational campaign, screening and therapy on the spread of HIV infection

Marsudi,; Wibowo, Ratno Bagus Edy; Hidayat, Noor

doi:10.12988/nade.2016.63126

Cited by 8 publications

(6 citation statements)

References 5 publications

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“…The epidemic model of HIV/AIDS with treatment is obtained based on modified studies [8] and [9]. Modification is done on the process of the spread occurrence of the illness which is assumed as in the previous study [8].…”

Section: Results and Discussion Model Formulationmentioning

confidence: 99%

“…In 2016, Marsudi [9], analyzed the sensitivity of the HIV virus transmission model with the effect of screening and therapy. The disease model distribution compartment is divided into six, that is susceptible ), educated susceptible ), unaware infectives ), aware infectives ), therapy infectives ), and AIDS infectious ).…”

mentioning

confidence: 99%

“…The disease model distribution compartment is divided into six, that is susceptible ), educated susceptible ), unaware infectives ), aware infectives ), therapy infectives ), and AIDS infectious ). The spread of the virus is declared to occur due to the interaction between susceptible individuals with individual unaware infectives, aware infectives, and therapy infectives [9].…”

mentioning

confidence: 99%

“…Different from previous research, this article examines the epidemic model of HIV/AIDS disease transmission with treatment based on modified results from previous studies of Huo [8] and Marsudi [9]. Modification is done by assuming the disease transmission occurs because of the interaction between susceptible individuals and infected individuals [8].…”

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confidence: 99%

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Dynamical Analysis of HIV/AIDS Epidemic Model with Treatment

Ulfa

Trisilowati

Wuryansari

2018

JELS

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In this article, an epidemic model of HIV/AIDS with treatment is observed. This model consists of five populations: susceptible, educated susceptible, exposed, HIV infected, and AIDS infected. Antiretroviral therapy (ART) is one type of treatment that can be given to individual that is infected by HIV. This medication can prevent the growth of the virus. Exposed individuals are given short term antiretroviral treatment called Post Exposure Profilaxis (PPP), while for infected individuals are given treatment by combining two or three types of antiretroviral drugs. Dynamical analysis is performed by determining equilibrium points and local stability analysis. Based on the analysis results, two equilibrium points are obtained, namely disease free equilibrium point and endemic equilibrium points. The stability analysis shows that the free equilibrium point is locally asymptotically stable if and the endemic equilibrium point is locally asymptotically stable under certain conditions. Numerical simulations show that giving two medications together has a greater effect in reducing the spread of the disease.

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Section: Results and Discussion Model Formulationmentioning

confidence: 99%

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confidence: 99%

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confidence: 99%

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confidence: 99%

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Dynamical Analysis of HIV/AIDS Epidemic Model with Treatment

Ulfa

Trisilowati

Wuryansari

2018

JELS

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“…Mathematical models have been used to help understand the transmission dynamics of HIV infections.For example, [2] presented a theoretical framework for transmission of HIV/AIDS with screening of unaware infectives.Modelling the effect of screening of unaware infectivesand treatment on the spread of HIV infectionhas been studied by [14]. [7] and [8] studied the impact of educational campaign, screening and HIV Therapy on the Dynamics of Spread of HIV. Other studies assessing the spread of HIV/AIDS are linked to public health education interventions (see [5]).…”

Section: Introductionmentioning

confidence: 99%

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

Marsudi

Hidayat

Wibowo

2017

AIP Conference Proceedings

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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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Dynamical behaviors of a stochastic HIV/AIDS epidemic model with treatment

Zhao

Dong

2023

Math Methods in App Sciences

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In this paper, by using Itô's formula, we study the dynamic behaviors of a stochastic human immune deficiency virus (HIV) model, which describes Acquired Immune Deficiency Syndrome (AIDS) with the effect of treatment. First, we discuss the global positivity of the solution to such a model with positive initial value. Then, we consider the limiting behavior of the solution. Moreover, we obtain the sufficient condition to guarantee the extinction of AIDS. Meanwhile, by constructing an appropriate Lyapunov function, we prove that the solution has a unique ergodic stationary distribution under a certain assumptions. Finally, we illustrate the validity of our results by numerical simulations.

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A sensitivity analysis of the impact of educational campaign, screening and therapy on the spread of HIV infection

Cited by 8 publications

References 5 publications

Dynamical Analysis of HIV/AIDS Epidemic Model with Treatment

Dynamical Analysis of HIV/AIDS Epidemic Model with Treatment

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

Dynamical behaviors of a stochastic HIV/AIDS epidemic model with treatment

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