Mathematical analysis of pre-exposure prophylaxis on HIV infection.
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Date
2012
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Abstract
We develop a mathematical model which seeks to assess the impact of HIV Pre-Exposure
Prophylaxis (PrEP) on the prevalence and incidence of HIV infection. Mathematical analysis
of the model is carried out to establish the threshold conditions that determine the stability of
the steady states. Numerical simulations are performed to gain insight into the use and e cacy
of PrEP. Results from our model reveal that the basic reproduction number is a function of the
rate at which individuals use PrEP and the rate at which PrEP protects individuals from HIV
infection. Furthermore, strategies where either PrEP awareness or PrEP e cacy was low show
potential loop-holes that can lead to more complications than bene ts. The best strategies
revealed by our results is that a high level of awareness and high PrEP e cacy are needed.
Description
Thesis (M.Sc.)-University of KwaZulu-Natal, Westville, 2012.
Keywords
Mathematical analysis., Theses -- Mathematics.