The impact of pre-exposure prophylaxis (PrEP) and screening on the dynamics of HIV

We analyse the impact of pre-exposure prophylaxis (PrEP) and screening effects on HIV dynamics in infected patients. Our model incorporates condom use, the number of sexual partners, and treatment for HIV. Numerical simulations are performed and the model is fitted to data on the cumulative HIV and AIDS cases in Portugal. Moreover, critical epidemiological parameters are also varied. Inferences are made concerning the epidemiological consequences of the model's predictions on public HIV/AIDS planning. The order of the fractional derivative is suggested to have a powerful role in the drama of HIV epidemics.