On drug therapy for an HIV infection age model with cellular and immune delays

We study the effectiveness of drug therapy for an HIV infection age mathematical model that considers both virus-to-cell and cell-to-cell infections, as well as the immune response. As expected, in the presence of perfect inhibitors, the populations of infected cells, virus, and effector cells decay exponentially to zero. When protease inhibitors are used, the production of infectious virions is diminished, as demonstrated in our drug therapy model. We begin our model analysis by proving the positivity and boundedness of the solutions, which are necessary conditions for the model's well-posedness. Our main result shows that, under a certain condition, both the infected cell population and the infectious virus decay exponentially to zero. For more information see https://ejde.math.txstate.edu/conf-proc/27/t1/abstr.html