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| 具有相同被感染能力的SIR模型传播阈值存在性研究 | |
| 引用本文： | 徐道炜,陈庆华,刘金福,章静. 具有相同被感染能力的SIR模型传播阈值存在性研究[J]. 高师理科学刊, 2009, 29(4): 12-14 |
| 作者姓名： | 徐道炜 陈庆华 刘金福 章静 |
| 作者单位： | 1. 福建农林大学林学院,福建福州,350002 2. 福建师范大学数学与计算机科学学院,福建福州,350007 3. 福建工程学院计算机与信息科学系,福建福州,350014 |
| 基金项目： | 福建省科技厅(K类)基金 |
| 摘 要： | 提出一个具有相同被感染能力的SIR模型.通过限制易感染节点连接边的感染能力,即易感染节点只能通过本身连边中的A条边受到感染,得出在非齐次不相关网络中,存在一个固定的传播阈值λc=1A:当λ≤1A时,病毒在网络中迅速消失;当λ>1A时,病毒在网络中传播扩散并感染一定比例的节点. |
| 关 键 词： | SIR模型 感染能力 传播阈值 |
Existence of spreading threshold of a SIR model with identical infected ability |
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| XU Dao-wei,CHEN Qing-hua,LIU Jin-fu,ZHANG Jing. Existence of spreading threshold of a SIR model with identical infected ability[J]. Journal of Science of Teachers＇College and University, 2009, 29(4): 12-14 | |
| Authors: | XU Dao-wei CHEN Qing-hua LIU Jin-fu ZHANG Jing |
| Affiliation: | 1.School of Forestry;Fujian Agriculture and Forestry University;Fuzhou 350002;China;2.School of Mathematics and Computer Science;Fujian Normal University;Fuzhou 350007;3.Department of Computer and Information Science;Fujian University of Technology;Fuzhou 350014;China |
| Abstract: | A SIR model with identical infected ability was proposed.Through restricting the edges' infected ability of susceptible nodes that is they can be infected by A edges which own themselves,there was a fixed effective spreading threshold λ c =1Ain heterogeneous uncorrelated networks,virus in a network disappear rapidly when λ ≤1A and spread in the network with certain proportion of infection when λ >1A. |
| Keywords: | SIR model infection ability spreading threshold |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |