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| Analyzing the Validity of Quenched Mean-Field Method |
| YANG Guanling, YANG Xinsong
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| Department of Mathematics, Chongqing Normal University, Chongqing 401331 |
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Abstract We investigate the validation of the threshold predicated by the quenched mean-field theory. By using quenched mean-filed theory, we analyze SIR epidemic spreading models on ER networks, SF networks, and real networks. We find that when the eigenvector of the leading eigenvalue of the adjacent matrix is delocalized, the threshold predicated by this theoretical approach can basically fit its real threshold, and that once the leading eigenvector is localized, the theoretical threshold is lower than its actual threshold.
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Received: 01 April 2014
Published: 22 June 2026
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