Analysis of HIV mutation dynamics for a linear mutation tree

This work is focused on modelling HIV mutation and drug resistance. We develop a technique to study viral dynamics in a system of m viral strains including mutation between the different strains. Stability analysis of the nonlinear dynamics involving the free virus and its host cell is provided. For the class of model considered, with ¿low¿ mutation rate, we analytically determine all possible equilibria, their local stability and positivity properties. Numerical results show that the model describes the ability of HIV to mutate into drug-resistant variants resulting from its replication process.