In-homogeneous Virus Spread in Networks

Piet Van Mieghem; Jasmina Omic

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arXiv · 1306.2588

In-homogeneous Virus Spread in Networks

Piet Van Mieghem·Jasmina Omic

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Abstract

Our $N$-intertwined model (now called NIMFA) for virus spread in any network with $N$ nodes is extended to a full heterogeneous setting. The metastable steady-state nodal infection probabilities are specified in terms of a generalized Laplacian, that possesses analogous properties as the classical Laplacian in graph theory. The critical threshold that separates global network infection from global network health is characterized via an $N$ dimensional vector that makes the largest eigenvalue of a modified adjacency matrix equal to unity. Finally, the steady-state infection probability of node $i$ is convex in the own curing rate $δ_{i}$, but concave in the curing rates $δ_{j}$ of the other nodes $1\leq j\neq i\leq N$ in the network.

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BibTeX RIS

Piet Van Mieghem, Jasmina Omic. 2014-07-11. In-homogeneous Virus Spread in Networks. https://arxiv.org/abs/1306.2588

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