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...

Epidemics such as tuberculosis (TB), can be represented by a finite number of states and transition rules that govern the spread of the disease in each discrete time step. This paper uses a graph theoretic approach to investigate TB interactions in a community where infectives are categorized. A...

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...