| Title: | ANALYSIS OF THE SUSCEPTIBLE-INFECTED-SUSCEPTIBLE MODEL ON COMPLEX NETWORK |
| DOI No: | 10.1142/9789812708687_0004 |
| Source: | TOPOLOGICAL ASPECTS OF CRITICAL SYSTEMS AND NETWORKS (pp 24-29)
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| Author(s): | T. ICHINOMIYA
Laboratory of Nonlinear Studies and Computation, Research Institute of Electronic Science, Hokkaido University, Kita 12 Nishi 6, Kita-ku, Sapporo 060-0812, Japan
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| Abstract: | We investigate the susceptible-infected-susceptible(SIS) model on complex network. By counting the number of paths from one node to another, we show that the epidemic threshold Kc must satisfy the relation Kc≥ ln(1 + 1/λ0), where λ0 represents the largest eigenvalue of the adjacent matrix of network. We also propose the new strategy for the immunization on complex networks. |
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| TOC: | Back to Table of Contents |
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