2002/05/29 by Marian Boguna, Romualdo Pastor-Satorras · 1 citation
Physics and Astronomy · Biochemistry, Genetics and Molecular Biology · #cond-mat.stat-mech #q-bio
paper · pdf · doi:10.1103/physreve.66.047104
published as Phys. Rev. E 66, 047104 (2002)
arxiv created 2002/05/29 · arxiv updated 2009/11/30
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 that from a node with connectivity k go to nodes with connectivity k'. Numerical simulations on a correlated growing network model provide support for our conclusions.