Ranking of Nodal Infection Probability in Susceptible-Infected-Susceptible Epidemic
B Qu (TU Delft - Multimedia Computing)
C Li (Fudan University)
Piet Van Mieghem (TU Delft - Network Architectures and Services)
H. Wang (TU Delft - Multimedia Computing)
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Abstract
The prevalence, which is the average fraction of infected nodes, has been studied to evaluate the robustness of a network subject to the spread of epidemics. We explore the vulnerability (infection probability) of each node in the metastable state with a given effective infection rate τ. Specifically, we investigate the ranking of the nodal vulnerability subject to a susceptible-infected-susceptible epidemic, motivated by the fact that the ranking can be crucial for a network operator to assess which nodes are more vulnerable. Via both theoretical and numerical approaches, we unveil that the ranking of nodal vulnerability tends to change more significantly as τ varies when τ is smaller or in Barabási-Albert than Erdos-Rényi random graphs.
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