Global dynamics of delay-distributed HIV infection models with differential drug efficacy in cocirculating target cells.

In this paper, we investigate the dynamical behaviors of three human immunodeficiency virus infection models with two types of cocirculating target cells and distributed intracellular delay. The models take into account both short-lived infected cells and long-lived chronically infected cells. In the two types of target cells, the drug efficacy is assumed to be different. The incidence rate of infection is given by bilinear and saturation functional responses in the first and second models, respectively, while it is given by a general function in the thirdmodel. Lyapunov functionals are constructed and LaSalle invariance principle is applied to prove the global asymptotic stability of all equilibria of the models. We have derived the basic reproduction number R0 for the threemodels. For the first twomodels, we have proven that the diseasefree equilibrium is globally asymptotically stable (GAS) when R₀ ≤ 1, and the endemic equilibrium is GAS when R₀ > 1. For the third model, we have established a set of sufficient conditions for global stability of both equilibria of the model. We have checked our theoretical results with numerical simulations. [ABSTRACT FROM AUTHOR]