Epidemic spreading in correlated complex networks

Details Epidemic spreading in correlated complex networks Epidemic spreading in correlated complex networks

2002-05-29

arxiv.org/abs/cond-mat/0205621v1

Phys. Rev. E 66, 047104 (2002)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.66.047104

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.

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