Given a network of who-contacts-whom or who-links-to-whom, will a contagious
virus/product/meme spread and 'take over'(cause an epidemic) or die out quickly? What will …

In this chapter we want to provide a review of the main results obtained in the modeling of
epidemic spreading in scale-free networks. In particular, we want to show the different …

How will a virus propagate in a real network? Does an epidemic threshold exist for a finite
graph? How long does it take to disinfect a network given particular values of infection rate …

Serious epidemics, both in cyber space as well as in our real world, are expected to occur
with high probability, which justifies investigations in virus spread models in (contact) …

The study of epidemics on social networks has attracted considerable attention recently. In
this paper, we consider a stochastic SIR (susceptible→ infective→ removed) model for the …

We analytically determine when a range of abstract social contagion models permit global
spreading from a single seed on degree-correlated undirected random networks. We …

Motivated by the analysis of social networks, we study a model of random networks that has
both a given degree distribution and a tunable clustering coefficient. We consider two types …

How will a virus propagate in a real network? How long does it take to disinfect a network
given particular values of infection rate and virus death rate? What is the single best node to …

Most real-world networks are not isolated. In order to function fully, they are interconnected
with other networks, and this interconnection influences their dynamic processes. For …

We will consider models of the spread of disease or opinion through social networks,
represented as graphs. In our models, vertices will be in one of two states, 1 (“infected”) or 0 …