We present a dynamical model for the spread of HIV in a finite discrete population of size n represented by the set V. The model takes into account the structure of the sexual network, the density of infected population in each individual’s sexual partners, and a reasonable amount of the...

We study the effects of the rate of replacement of dead cells by either healthy cells or by infected cells on HIV infection dynamics through a graph-theoretic approach. Our framework takes into account a reasonable amount of the immune action to any pathogen and the local cell interactions that...