mathematical modeling of the hiv/kaposi’s sarcoma coinfection dynamics in areas of high hiv prevalence

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ID: 168449
2013
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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.
Reference Key
lungu2013computationalmathematical Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;E. Lungu;T. J. Massaro;E. Ndelwa;N. Ainea;S. Chibaya;N. J. Malunguza
Journal advanced functional materials
Year 2013
DOI
10.1155/2013/753424
URL
http://dx.doi.org/10.1155/2013/753424
Keywords
medical informatics computer applications to medicine

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