Global behaviour of an age-infection-structured HIV model with impulsive drug-treatment strategy

In this paper, we develop an HIV model that considers the dependence of HIV/AIDS progress on infection age (duration since infection), chronological age and impulsive antiretroviral treatment. The analytical results show that there exists a globally asymptotically stable infection-free state when the impulsive period TT and drug-treatment proportion pp satisfy R0(p,T)<1R0(p,T)<1. The numerical simulation results indicate that there exist TT and pp such that R0(p,T)<1R0(p,T)<1. Due to pulses, it would be difficult to obtain the optimal pulse interval in the age distribution of population. However, our results demonstrate the effect of the impulsive drug-treatment strategy on the dynamics of HIV/AIDS.