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网络中由流量驱动的SIR传染病传播

Traffic-driven SIR epidemic spreading in networks.

作者信息

Pu Cunlai, Li Siyuan, Yang XianXia, Xu Zhongqi, Ji Zexuan, Yang Jian

机构信息

Nanjing University of Science and Technology, Nanjing 210094, China.

出版信息

Physica A. 2016 Mar 15;446:129-137. doi: 10.1016/j.physa.2015.11.028. Epub 2015 Dec 5.

DOI:10.1016/j.physa.2015.11.028
PMID:32288096
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7127125/
Abstract

We study SIR epidemic spreading in networks driven by traffic dynamics, which are further governed by static routing protocols. We obtain the maximum instantaneous population of infected nodes and the maximum population of ever infected nodes through simulation. We find that generally more balanced load distribution leads to more intense and wide spread of an epidemic in networks. Increasing either average node degree or homogeneity of degree distribution will facilitate epidemic spreading. When packet generation rate is small, increasing favors epidemic spreading. However, when is large enough, traffic congestion appears which inhibits epidemic spreading.

摘要

我们研究了由流量动态驱动且进一步受静态路由协议控制的网络中的SIR流行病传播。通过模拟,我们得到了受感染节点的最大瞬时数量以及曾经受感染节点的最大数量。我们发现,一般来说,更平衡的负载分布会导致网络中流行病传播得更剧烈、范围更广。增加平均节点度或度分布的同质性都将促进流行病传播。当数据包生成率较小时,增加 有利于流行病传播。然而,当 足够大时,会出现交通拥堵,从而抑制流行病传播。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/4697de409971/gr12.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/9e3d07d3071e/gr1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/f47b2f929ec6/gr2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/12de22db8abf/gr3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/7da1b2ec07f0/gr4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/dff3756442ae/gr5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/d49b0fac6d15/gr6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/d51414163972/gr7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/28464432d386/gr8.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/e61bd365a615/gr9.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/567202a8fddb/gr10.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/e99048c50bc6/gr11.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/4697de409971/gr12.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/9e3d07d3071e/gr1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/f47b2f929ec6/gr2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/12de22db8abf/gr3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/7da1b2ec07f0/gr4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/dff3756442ae/gr5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/d49b0fac6d15/gr6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/d51414163972/gr7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/28464432d386/gr8.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/e61bd365a615/gr9.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/567202a8fddb/gr10.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/e99048c50bc6/gr11.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cf27/7127125/4697de409971/gr12.jpg

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Traffic-driven epidemic spreading in finite-size scale-free networks.有限规模无标度网络中的交通驱动的传染病传播。
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