Die-out Probability in SIS Epidemic Processes on Networks

Qiang Liu; Piet Van Mieghem

doi:10.1007/978-3-319-50901-3_41

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arXiv · 1609.04880

Die-out Probability in SIS Epidemic Processes on Networks

Qiang Liu·Piet Van Mieghem

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Abstract

An accurate approximate formula of the die-out probability in a SIS epidemic process on a network is proposed. The formula contains only three essential parameters: the largest eigenvalue of the adjacency matrix of the network, the effective infection rate of the virus, and the initial number of infected nodes in the network. The die-out probability formula is compared with the exact die-out probability in complete graphs, Erdős-Rényi graphs, and a power-law graph. Furthermore, as an example, the formula is applied to the $N$-Intertwined Mean-Field Approximation, to explicitly incorporate the die-out.

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Qiang Liu, Piet Van Mieghem. 2016-10-16. Die-out Probability in SIS Epidemic Processes on Networks. https://doi.org/10.1007/978-3-319-50901-3_41

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