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

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Article in Computational and mathematical methods in medicine, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it

0cells of the map it votes in

1citing papers in PubMed

0.3field-weighted citation impact, top 28% of its field

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Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

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1 citing paper in PubMed, 10 citations in OpenAlex.

Optimal Control and Bifurcation Analysis of HIV Model.Computational and mathematical methods in medicine · 2023
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5 · Who and what money

Authors and funding

6 authors at 4 institutions in 4 countries.

E LunguDepartment of Mathematics, University of Botswana, Gaborone, Botswana.

T J MassaroDepartment of Mathematics, University of Tennessee, TN, USA.

E NdelwaDepartment of Mathematics, University of Dar es Salaam, Dar es Salaam, Tanzania.

N AineaDepartment of Mathematics, University of Dar es Salaam, Dar es Salaam, Tanzania.

S ChibayaDepartment of Mathematics, University of Dar es Salaam, Dar es Salaam, Tanzania.

N J MalunguzaDepartment of Applied Mathematics, National University of Science and Technology, Bulawayo, Zimbabwe.

University of Dar es Salaam · TZNational University of Science and Technology · ZWUniversity of Botswana · BWUniversity of Tennessee at Knoxville · US

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

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.

Indexed as

AfricaAlgorithmsAntiretroviral Therapy, Highly ActiveCD4-Positive T-LymphocytesCoinfectionHerpesvirus 8, HumanHIV InfectionsHIV SeropositivityHumansModels, TheoreticalPrevalenceSarcoma, Kaposi

Identifiers

PMID24348744

DOI10.1155/2013/753424

PMCPMC3855956

OpenAlexW2164974894

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