The Effects of Time Lag and Cure Rate on the Global Dynamics of HIV-1 Model

Abstract

In this research article, a new mathematical model of delayed differential equations is developed which discusses the interaction among CD4T cells, human immunodeficiency virus (HIV), and recombinant virus with cure rate. The model has two distributed intracellular delays. These delays denote the time needed for the infection of a cell. The dynamics of the model are completely described by the basic reproduction numbers represented byR0,R1, andR2. It is shown that ifR0<1, then the infection-free equilibrium is locally as well as globally stable. Similarly, it is proved that the recombinant absent equilibrium is locally as well as globally asymptotically stable if1<R0<R1. Finally, numerical simulations are presented to illustrate our theoretical results. Our obtained results show that intracellular delay and cure rate have a positive role in the reduction of infected cells and the increasing of uninfected cells due to which the infection is reduced.