Mathematical analysis of a model for assessing the impact of antiretroviral therapy, voluntary testing and condom use in curtailing the spread of HIV

DOI10.1007/S12591-011-0090-6zbMath1256.34035OpenAlexW1985990059WikidataQ90696958 ScholiaQ90696958MaRDI QIDQ691316

Abba B. Gumel, Oluwaseun Y. Sharomi, Chandra N. Podder

Publication date: 30 November 2012

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc7090688

zbMATH Keywords

stabilityHIVreproduction numberARVscondomsnucleic acid amplification testing (NAAT)standard testing

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Medical epidemiology (92C60)

Related Items (5)

Influence of the topology on the dynamics of a complex network of HIV/AIDS epidemic models ⋮ Stationary distribution and extinction of a stochastic multigroup DS-DI-a model for the transmission of HIV ⋮ Mathematical assessment of the role of pre-exposure prophylaxis on HIV transmission dynamics ⋮ Investigating alcohol consumption as a risk factor for HIV transmission in heterosexual settings in sub-Saharan African communities ⋮ Analysis of SI models with multiple interacting populations using subpopulations

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