HIV model with intracellular delay — a mathematical study

Human immunodeficiency virus (HIV) is observed to infect the CD4+T lymphocytes in the human blood. In this article we consider a modification of a basic HIV model introduced by Herz et al. (1996) representing the HIV dynamics. We introduce an intracellular delay in the disease transmission term. Our theoretical and numerical analysis show that a HIV infected subject will remain infected irrespective of the initial viral load and CD4+T cells count. However, some crucial system parameters may significantly alter the concentrations of both CD4+T cells and the HIV populations. Systematic control of these model parameters may find potential application towards better management of the disease.