A Mathematical Model Describing the Dynamics of HIV Virions and CD4+T Cells in the Human Immune System

Human Immunodeficiency Virus (HIV) is an intracellular parasite that attacks cells of the immune system called CD4+T cells. In ecology the Lotka-Volterra models, a classical set of differential equations, describe three interactions between species in ecosystems: predator/prey, mutualism, and competition. The human body is also an ecosystem with HIV and T cells exhibiting the three Lotka-Volterra interactions with each other. I pose a mathematical model that predicts T cell/HIV dynamics by incorporating the three Lotka-Volterra interactions and other salient biological phenomena that influence the dynamics, such as T cell senescence and the presence of viral reserviors