Modeling Virus Mutation and T-Cell Dynamics in HIV/AIDS: A Comparative Study using Finite Difference and Physics-Informed Neural Network

In order to meet the biological constraints, In this paper we consider a system of four equations which captures T-cell-HIV interactions. It describes the behavior of normal T cells, latently-infected T cells, actively infected T cells and virus with special emphasis on reclassification, death rate and population dynamics. The model makes sure that the sum total of T-cell population is bounded while its steady-state solution remains stable. This document symbolically provides basis for stability conditions resulting from HIV's impact on CD4+T cell numbers.