ABSTRACT
In this chapter, the effect of pre-exposure prophylaxis with male circumcision on the spread of HIV/AIDS through epidemic models is studied. As the World Health Organization (WHO) recommends, male circumcision is an alternative prevention strategy to prevent the spread of HIV/AIDS in people. In addition, pre-exposure prophylaxis is also supported by the WHO for HIV-negative patients to maintain their status. It has been known from the study here that the basic reproduction number https://www.w3.org/1998/Math/MathML"> R 0 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003367420/4193d31d-678d-4cb1-8b03-b46b17bd9b68/content/C003_equ_0001.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> plays an important role in the outbreak of disease and gives an important description of the condition of the disease in the population. If https://www.w3.org/1998/Math/MathML"> R 0 < 1 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003367420/4193d31d-678d-4cb1-8b03-b46b17bd9b68/content/C003_equ_0002.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> , then disease-free equilibrium (DFE) is locally as well as globally asymptotically stable, and if https://www.w3.org/1998/Math/MathML"> R 0 > 1 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003367420/4193d31d-678d-4cb1-8b03-b46b17bd9b68/content/C003_equ_0003.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> , then a unique endemic equilibrium exists, which under certain sufficient conditions, is locally and globally asymptotically stable. In addition, a basic sensitivity analysis is performed to observe the behavior of model variables and basic reproduction number with changes in model parameters. Finally, some numerical simulations are given in support of our analytical findings.
