Fig. 1

Model figure. The compartments are: susceptible to infection (X), susceptible while on PrEP (X_PrEP), infected but not diagnosed (I_ND), infected and diagnosed but not on treatment (I_D), and infected, diagnosed and on treatment (I_DT). The rates of exchange between compartments are: the force of infection (λ), force of infection while on PrEP (λ_PrEP), rate of PrEP initiation (σ), rate of HIV testing (ψ), rate of ART initiation (κ), and rate of ART dropout (κ_DT), Entry and exit rate not due to HIV (μ), exit rate while infected (μ_HIV), and exit rate while infected and on treatment (μ_{HIV_T}). Individuals who are on PrEP (X_PrEP) who become infected become aware of their HIV status within one year and therefore move to the diagnosed (I_D) compartment