On the numerical simulation of a class of HIV models

We introduce a novel class of HIV models that incorporates mutation. These lead to integro-differential equations for which the mutation is modelled by an integral operator whose kernel describes the transition probability between different strains. After settling convergence properties for discrete counterparts of the models, we explore the numerical aspects of computer simulations for such a class. We also discuss the effect of an opportunistic virus attack to the human immune system in the presence of the HIV infection and observe the immune system breakdown in a number of situations.