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

Abstract EN

In this research article, a new mathematical model of delayed differential equations is developed which discusses the interaction among CD4 T 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 by R0, R1, and R2.

It is shown that if R0<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 if 1

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.