A Mathematical Model Analysis for the Transmission Dynamics of HIV/AIDS with Control Strategy
Bogale Assefa Belayneh,
Purnachandra Rao Koya
Issue:
Volume 6, Issue 3, September 2021
Pages:
56-69
Received:
30 July 2021
Accepted:
13 August 2021
Published:
23 August 2021
Abstract: This paper examines the transmission dynamics of HIV infection with public health intervention strategies treatment and awareness on the proper procedure of ART treatment. For the problem, a deterministic mathematical model is proposed and analysed qualitatively using the concept of stability of differential equations. The effective reproduction number is computed in terms of model parameters. The existence and stability of disease free and endemic steady states are recognized. The disease free and endemic equilibria are indicated to be locally and globally asymptotically stable whenever the effective reproduction number is less than unity and greater than unity respectively. This means that, HIV infection will die out in the community when the effective reproduction number is less than the threshold value and persist otherwise. Based on the sensitivity analysis of the effective reproduction number, we found that the rate of ART treatment and the rate of awareness on the proper procedure of ART are influential in reducing the magnitude of the reproduction number and thus they are important in decreasing the number of infected population. Numerical simulations support our analytical results that implementing ART treatment at every stage of HIV/AIDS had high impact in reducing the infected population than implementing on a single stage for those who follow the proper procedure of ART treatment. It also verifies the positive impact of awareness on the proper procedure of ART treatment in reducing infected individuals by reducing treatment waning rate. Therefore, our result suggests that ART treatment should be implemented together with awareness on the proper procedure of ART treatment to control the spread of HIV in the community.
Abstract: This paper examines the transmission dynamics of HIV infection with public health intervention strategies treatment and awareness on the proper procedure of ART treatment. For the problem, a deterministic mathematical model is proposed and analysed qualitatively using the concept of stability of differential equations. The effective reproduction nu...
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Numerical Modelling of the Slope: A Case Study of Dounia Park (North Algeria)
Taleb Hosni Abderrahmane,
Cheriet Fayssal,
Allout Naas,
Abdellaoui Merouane
Issue:
Volume 6, Issue 3, September 2021
Pages:
70-80
Received:
19 December 2020
Accepted:
7 January 2021
Published:
12 October 2021
Abstract: In this study, we describe the landslide of Dounia Park, Northen the capital Algiers, exactly in the city of Dely Ibrahim, near the Mercedes house. It is regarded as a huge park with games, and the green lungs of Algiers. This study is based on the configuration of the slope, mechanical properties and soil class, geology intervenes in the relief geomorphology and stratification, water, and earthquake shaking, etc…, the field observation has revealed the existence of land instabilities, cracks, and types of landslides (translation, rotation), in order to examine the landslides of Dounia Park, numerical modeling by the finite element limit analysis is employed to investigate this slope. The results obtained in this article show numerous points. During the site visit, it was observed that the area of Dounia Park is affected by many types of instabilities. Also, this paper show adequately give out the morphology of the slope instability observed on the site.
Abstract: In this study, we describe the landslide of Dounia Park, Northen the capital Algiers, exactly in the city of Dely Ibrahim, near the Mercedes house. It is regarded as a huge park with games, and the green lungs of Algiers. This study is based on the configuration of the slope, mechanical properties and soil class, geology intervenes in the relief ge...
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