Article Contents
Article Contents

# Mathematical modelling of internal HIV dynamics

• We study a mathematical model for the viral dynamics of HIV in an infected individual in the presence of HAART. The paper starts with a literature review and then formulates the basic mathematical model. An expression for $R_0$, the basic reproduction number of the virus under steady state application of HAART, is derived followed by an equilibrium and stability analysis. There is always a disease-free equilibrium (DFE) which is globally asymptotically stable for $R_0 < 1$. Deterministic simulations with realistic parameter values give additional insight into the model behaviour.
Mathematics Subject Classification: Primary: 92B05, 92D25; Secondary: 34D23, 60J85, 92D30.

 Citation: