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- Title
A stochastic model for HIV with the use of PrEP.
- Authors
Nsuami, Mozart Umba; Witbooi, Peter Joseph
- Abstract
Pre-exposure prophylaxis (PrEP) has become a promising strategy used by unin- fected individuals for the HIV prevention. The risk of infection with HIV after exposure to the virus can be understood through a stochastic framework. In this research we present a stochastic model for HIV/AIDS epidemic with the use of prophylaxis and we show that the model with random perturbation has a unique global positive solution. For a special case, we introduce an analogue, R, of the basic reproduction number. This invariant features in a theorem on al- most sure exponential stability. Our results show that the disease goes extinct exponentially and almost surely whenever R stays below unity. Simulations serve to illustrate various phenomena.
- Subjects
HIV prevention; PRE-exposure prophylaxis; ANTIRETROVIRAL agents; EMTRICITABINE; JOINT United Nations Programme on HIV/AIDS; SAFE sex in AIDS prevention; STOCHASTIC models
- Publication
Journal of Mathematical Modeling (JMM), 2021, Vol 9, Issue 4, p537
- ISSN
2345-394X
- Publication type
Article
- DOI
10.22124/jmm.2021.16870.1461