Author(s)

Sontosh Kumar Sahani, M. Haider Ali Biswas

Mathematics Discipline, Khulna University, Khulna, Bangladesh.

The study of viral dynamics of HIV/AIDS has resulted in a deep understanding of host-pathogenesis of HIV infection from which numerous mathematical modeling have been derived. Most of these models are based on nonlinear ordinary differential equations. In Bangladesh, the rate of increase of HIV infection comparing with the other countries of the world is not so high. Bangladesh is still considered to be a low prevalent country in the region with prevalence < 1% among MARP (Most at risk populations). In this paper, we have presented the current situation of HIV infection in Bangladesh and also have discussed the mathematical representation of a three-compartmental HIV model with their stability analysis. We have determined the basic reproduction number and shown the local and global stability at disease free and chronic infected equilibrium points. Also we have shown that if the basic reproduction number , then HIV infection is cleared from T cell population and it converges to disease free equilibrium point. Whereas if , then HIV infection persists.

CD⁴⁺ T Cells, Dynamical Systems, Basic Reproduction Number, Equilibrium Points, Stability Analysis

Sahani, S. and Biswas, M. (2017) Mathematical Modeling Applied to Understand the Dynamical Behavior of HIV Infection. Open Journal of Modelling and Simulation, 5, 145-157. doi: 10.4236/ojmsi.2017.52010.