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arXiv · 1407.0774

Epidemic spreading on complex networks with general degree and weight distributions

Wei Wang·Ming Tang·Hai-Feng Zhang·Hui Gao·Younghae Do·Zong-Hua Liu
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Abstract

The spread of disease on complex networks has attracted widely attention in the physics community. Recent works have demonstrated that heterogeneous degree and weight distributions have a significant influence on the epidemic dynamics. In this study, a novel edge-weight based compartmental approach is developed to estimate the epidemic threshold and epidemic size (final infected density) on networks with general degree and weight distributions, and a remarkable agreement with numerics is obtained. Even in complex network with the strong heterogeneous degree and weight distributions, this approach is worked. We then propose an edge-weight based removal strategy with different biases, and find that such a strategy can effectively control the spread of epidemic when the highly weighted edges are preferentially removed, especially when the weight distribution of a network is extremely heterogenous. The theoretical results from the suggested method can accurately predict the above removal effectiveness.

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Wei Wang, Ming Tang, Hai-Feng Zhang, Hui Gao, Younghae Do, Zong-Hua Liu. 2014-07-03. Epidemic spreading on complex networks with general degree and weight distributions. https://doi.org/10.1103/physreve.90.042803

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