Global dynamics of two target cells HIV infection model with Beddington-DeAngelis functional response and delay-discrete or distributed

In this paper, we study the global analysis of virus dynamics models with discrete delay and with distributed delay. The models describe the interaction of the HIV with two classes of target cells, CD4(+) T cells and macrophages. The incidence rate of virus infection is given by the Beddington-DeAngelis functional response. The models have two types of discrete time delay or distributed delay describing the time needed for infection of cell and virus replication. The basic reproduction number R-0 is identified which completely determines the global dynamics of the models. By constructing suitable Lyapunov functionals, we have proven that if R-0 <= 1 then the uninfected steady state is globally asymptotically stable (GAS), and if R-0 > 1 then the infected steady state exists and it is GAS.