**Abstract**

The threats produced by viruses in computer networks have been frequent and the subject of many studies. Computer viruses share common characteristics with biological viruses, and therefore, one of the ways to study the dynamics of virus propagation has been through biological analogies. Inspired by macroscopic models, the susceptible-infected-removable (SIR) model allowed variations of compartmental models and suggested defenses considering antidotal (SIRA) and quarantined compartments (SIQRA), giving rise to models that evaluate the effectiveness and strategies to control the spread of viruses in networks. Recently, with the rapid popularization and access to networks, new studies have been taken into consideration the clusters of association of networks, indicating new control strategies and particularities of the dynamics. Toward this goal, this chapter presents a review of the mathematical model based in clustered computer network with the brief overview of the mathematical model reviews and providing an integrated framework to clustered model. In this essay, there is a discussion about the several ways of applying compartmental models to study the propagation of computer viruses and malwares through networks, emphasizing the effect of connections between geographically distributed machine clusters.

**Keywords:** bifurcation, cluster, disease-free, equilibrium point, SIR, stability
