Pre-exposure prophylaxis (PrEP) has become a promising strategy used by uninfected 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, , of the basic reproduction number. This invariant features in a theorem on almost sure exponential stability. Our results show that the disease goes extinct exponentially and almost surely whenever stays below unity. Simulations serve to illustrate various phenomena.
Nsuami, M. U. N. and Witbooi, P. Joseph (2021). A stochastic model for HIV with the use of PrEP. Journal of Mathematical Modeling, 9(4), 537-553. doi: 10.22124/jmm.2021.16870.1461
MLA
Nsuami, M. U. N. , and Witbooi, P. Joseph. "A stochastic model for HIV with the use of PrEP", Journal of Mathematical Modeling, 9, 4, 2021, 537-553. doi: 10.22124/jmm.2021.16870.1461
HARVARD
Nsuami, M. U. N., Witbooi, P. Joseph (2021). 'A stochastic model for HIV with the use of PrEP', Journal of Mathematical Modeling, 9(4), pp. 537-553. doi: 10.22124/jmm.2021.16870.1461
CHICAGO
M. U. N. Nsuami and P. Joseph Witbooi, "A stochastic model for HIV with the use of PrEP," Journal of Mathematical Modeling, 9 4 (2021): 537-553, doi: 10.22124/jmm.2021.16870.1461
VANCOUVER
Nsuami, M. U. N., Witbooi, P. Joseph A stochastic model for HIV with the use of PrEP. Journal of Mathematical Modeling, 2021; 9(4): 537-553. doi: 10.22124/jmm.2021.16870.1461
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