title: Mathematical modeling of the HIV/Kaposi's sarcoma coinfection dynamics in areas of high HIV prevalence.
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 ℛk < 1. A unique endemic equilibrium exists and is locally stable whenever ℛk > 1. Therefore, reducing ℛk 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.
authors.affiliation: Department of Mathematics, University of Botswana, Gaborone, Botswana.
authors.forename: E
authors.initials: E
authors.lastname: Lungu
authors.affiliation: Department of Mathematics, University of Tennessee, TN, USA.
authors.forename: T J
authors.initials: TJ
authors.lastname: Massaro
authors.affiliation: Department of Mathematics, University of Dar es Salaam, Dar es Salaam, Tanzania.
authors.forename: E
authors.initials: E
authors.lastname: Ndelwa
authors.affiliation: Department of Mathematics, University of Dar es Salaam, Dar es Salaam, Tanzania.
authors.forename: N
authors.initials: N
authors.lastname: Ainea
authors.affiliation: Department of Mathematics, University of Dar es Salaam, Dar es Salaam, Tanzania.
authors.forename: S
authors.initials: S
authors.lastname: Chibaya
authors.affiliation: Department of Applied Mathematics, National University of Science and Technology, Bulawayo, Zimbabwe.
authors.forename: N J
authors.initials: NJ
authors.lastname: Malunguza
mesh_terms: D000349:Africa / Q000453:epidemiology; D000465:Algorithms; D023241:Antiretroviral Therapy, Highly Active; D015496:CD4-Positive T-Lymphocytes / Q000821:virology; D060085:Coinfection / Q000453:epidemiology* / Q000821:virology; D015658:HIV Infections / Q000453:epidemiology*; D006679:HIV Seropositivity; D019288:Herpesvirus 8, Human; D006801:Humans; D008962:Models, Theoretical; D015995:Prevalence; D012514:Sarcoma, Kaposi / Q000453:epidemiology*