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Analysis of epidemic propagation using mean field theory on signed graphs
Su, Hongwei1; Zhang, Zi-Wei1; Wen, Guoxing2; Yan, Guan3
2022-02-28
发表期刊MODERN PHYSICS LETTERS B
ISSN0217-9849
卷号36期号:06页码:10
摘要Over the past few decades, the study of epidemic propagation has caught widespread attention from many areas. The field of graphs contains a wide body of research, yet only a few studies explore epidemic propagation's dynamics in "signed" networks. Motivated by this problem, in this paper we propose a new epidemic propagation model for signed networks, denoted as S-SIS. To explain our analysis, we utilized the mean field theory to demonstrate the theoretical results. When we compare epidemic propagation through negative links to those only having positive links, we find that a higher proportion of infected nodes actually spreads at a relatively small infection rate. It is also found that when the infection rate is higher than a certain value, the overall spreading in a signed network begins showing signs of suppression. Finally, in order to verify our findings, we apply the S-SIS model on Erdos-Renyi random network and scale-free network, and the simulation results is well consist with the theoretical analysis.
关键词Signed networks epidemic propagation infection rate mean field approximation dynamic properties
DOI10.1142/S0217984921505941
收录类别SCI
语种英语
资助项目Innovation Training Program of Shandong Province[S202110449046] ; National Natural Science Foundation of China[62073045]
WOS研究方向Physics
WOS类目Physics, Applied ; Physics, Condensed Matter ; Physics, Mathematical
WOS记录号WOS:000765319300001
出版者WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/60131
专题中国科学院数学与系统科学研究院
通讯作者Wen, Guoxing
作者单位1.Binzhou Univ, Coll Econ & Management, Binzhou 256600, Shandong, Peoples R China
2.Binzhou Univ, Coll Sci, Binzhou 256600, Shandong, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
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GB/T 7714
Su, Hongwei,Zhang, Zi-Wei,Wen, Guoxing,et al. Analysis of epidemic propagation using mean field theory on signed graphs[J]. MODERN PHYSICS LETTERS B,2022,36(06):10.
APA Su, Hongwei,Zhang, Zi-Wei,Wen, Guoxing,&Yan, Guan.(2022).Analysis of epidemic propagation using mean field theory on signed graphs.MODERN PHYSICS LETTERS B,36(06),10.
MLA Su, Hongwei,et al."Analysis of epidemic propagation using mean field theory on signed graphs".MODERN PHYSICS LETTERS B 36.06(2022):10.
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