Abstract

HIV/AIDS continues to pose significant global health concerns, underscoring the need for mathematical modelling to inform evidence-based intervention and policy decisions. This study explores the global Stability of HIV/AIDS Dynamics with PrEP Intervention and a six-compartment model which includes susceptible, vaccinated-PrEP, asymptomatic infective, symptomatic infective, treated and AIDS population is presented. The validity of the solution states affirms that the model is well-defined and holds epidemiologically significant. The basic reproduction number  (R₀) was obtained using the next generation matrix. The disease-free and endemic equilibrium points were investigated, with a comprehensive analysis of both local and global stability. Sensitivity analysis was carried out using normalized forward sensitivity index. The outcome from stability and sensitivity analysis suggest promising prospects for mitigating HIV/AIDS spread in the population. The sensitivity analyses identify critical parameters influencing disease transmission. By applying the insights gained from this analysis, stakeholders can develop evidence-based policies and interventions to reduce the spread of HIV/AIDS transmission in the population.