Mathematical Modeling of the HIV/Kaposi's Sarcoma Coinfection Dynamics in Areas of High HIV Prevalence

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Author list: Lungu E, Massaro TJ, Ndelwa E, Ainea N, Chibaya S, Malunguza NJ

Publisher: Taylor & Francis: STM, Behavioural Science and Public Health Titles / Hindawi / Hindawi Limited

Place: LONDON

Publication year: 2013

Journal: Computational and Mathematical Methods in Medicine (1748-670X)

Journal acronym: COMPUT MATH METHOD M

Number of pages: 12

ISSN: 1748-670X

eISSN: 1748-6718

Languages: English-Great Britain (EN-GB)


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Abstract

We formulate a deterministic system of ordinary differential equations to quantify HAART treatment levels for patients co-infected with HIV and Kaposi's Sarcoma in a high HIV prevalence setting. A qualitative stability analysis of the equilibrium states is carried out and we find that the disease-free equilibrium is globally attracting whenever the reproductive number R-k < 1. A unique endemic equilibrium exists and is locally stable whenever R-k > 1. Therefore, reducing R-k to below unity should be the goal for disease eradication. Provision of HAART is shown to provide dual benefit of reducing HIV spread and the risk of acquiring another fatal disease for HIV/AIDS patients. By providing treatment to 10% of the HIV population, about 87% of the AIDS population acquire protection against coinfection with HIV and Kaposi's Sarcoma (KS). Most sub-Sahara African countries already have programmes in place to screen HIV. Our recommendation is that these programmes should be expanded to include testing for HHV-8 and KS counseling.


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Last updated on 2023-31-07 at 00:36