Epidemic spreading in complex networks

Epidemic Spreading and Complex Networks

Epidemic spreading in correlated complex networks.

We study a dynamical model of epidemic spreading on complex networks in which there are explicit correlations among the node's connectivities. For the case of Markovian complex networks, showing only correlations between pairs of nodes, we find an epidemic threshold inversely proportional to the largest eigenvalue of the connectivity matrix that gives the average number of links, which from a n...

Cooperative Epidemic Spreading in Complex Networks

Most epidemic spreading models assume memoryless systems and statistically independent infections. Nevertheless, many real-life cases are manifestly time-sensitive and may be strongly correlated. We study the effect of non-Markovian stochastic dynamics on the SIS model, in random and scale-free networks, and propose a novel microscopic description to account for cooperation. Initial exploratory...

Epidemic Spreading on Weighted Complex Networks

Nowadays, the emergence of online services provides various multi-relation information to support the comprehensive understanding of the epidemic spreading process. In this Letter, we consider the edge weights to represent such multi-role relations. In addition, we perform detailed analysis of two representative metrics, outbreak threshold and epidemic prevalence, on SIS and SIR models. Both th...

Probabilistic framework for epidemic spreading in complex networks

The discovery of the important role played by the complex connectivity structure between individuals has lead to an increasing interest in the analysis of epidemic spreading in complex networks. Here we propose a discrete-time formulation of the problem of contact-based epidemic spreading, within the context of susceptible-infected-susceptible epidemic models. The proposed equations establish t...