Mathematical modeling of the HIV/Kaposi's Sarcoma coinfection dynamics in areas of high HIV prevalence

E. Lungu, T. J. Massaro, E. Ndelwa, N. Ainea, S. Chibaya, N. J. Malunguza

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 k<1. A unique endemic equilibrium exists and is locally stable whenever k>1. Therefore, reducing 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.

Original languageEnglish
Article number753424
JournalComputational and Mathematical Methods in Medicine
Volume2013
DOIs
Publication statusPublished - Jan 1 2013

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Kaposi's Sarcoma
Coinfection
Mathematical Modeling
HIV
Reproductive number
Qualitative Analysis
System of Ordinary Differential Equations
Equilibrium State
Ordinary differential equations
Highly Active Antiretroviral Therapy
Stability Analysis
Recommendations
Quantify
Acquired Immunodeficiency Syndrome
Testing
Disease Eradication
Northern Africa
Human Herpesvirus 8
Population
Counseling

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Modelling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Medicine(all)
  • Immunology and Microbiology(all)

Cite this

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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 k<1. A unique endemic equilibrium exists and is locally stable whenever k>1. Therefore, reducing 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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Mathematical modeling of the HIV/Kaposi's Sarcoma coinfection dynamics in areas of high HIV prevalence. / Lungu, E.; Massaro, T. J.; Ndelwa, E.; Ainea, N.; Chibaya, S.; Malunguza, N. J.

In: Computational and Mathematical Methods in Medicine, Vol. 2013, 753424, 01.01.2013.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Mathematical modeling of the HIV/Kaposi's Sarcoma coinfection dynamics in areas of high HIV prevalence

AU - Lungu, E.

AU - Massaro, T. J.

AU - Ndelwa, E.

AU - Ainea, N.

AU - Chibaya, S.

AU - Malunguza, N. J.

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