Global dynamics in an age-structured HIV model with humoral immunity

In this paper, we formulate an age-structured HIV model, in which the influence of humoral immunity and the infection age of the infected cells are considered. The model is governed by three ordinary differential equations and two first-ordered partial differential equations and admits three equilibria: disease-free, immune-inactivated and immune-activated equilibria. We introduce two important thresholds: the basic reproduction number R-0 and immune-activated reproduction number R-1 and further show the global stability of above three equilibria in terms of R-0 and R-1, respectively. The numerical simulations are presented to illustrate our results.