A model of HIV/AIDS population dynamics including ARV treatment and pre-exposure prophylaxis
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Date
2018
Authors
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Journal ISSN
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Publisher
SpringerOpen
Abstract
Antiretroviral treatment (ART) and oral pre-exposure prophylaxis (PrEP) have recently
been used efficiently in management of HIV infection. Pre-exposure prophylaxis
consists in the use of an antiretroviral medication to prevent the acquisition of HIV
infection by uninfected individuals. We propose a new model for the transmission of
HIV/AIDS including ART and PrEP. Our model can be used to test the effects of ART
and of the uptake of PrEP in a given population, as we demonstrate through
simulations. The model can also be used to estimate future projections of HIV
prevalence. We prove global stability of the disease-free equilibrium. We also prove
global stability of the endemic equilibrium for the most general case of the model, i.e.,
which allows for PrEP individuals to default. We include insightful simulations based
on recently published South-African data.
Description
Keywords
HIV/AIDS model, Basic reproduction number, Pre-exposure prophylaxis, Stability
Citation
Nsuami, M.U. & Witbooi, P.J. (2018). A model of HIV/AIDS population dynamics including ARV treatment and pre-exposure prophylaxis. Advances in Difference Equations, 2018:11