Analysis of epidemic propagation using mean field theory on signed graphs

doi:10.1142/S0217984921505941

	Analysis of epidemic propagation using mean field theory on signed graphs
	Su, Hongwei 2; Zhang, Zi-Wei 2; Wen, Guoxing 3; Yan, Guan 1
刊名	MODERN PHYSICS LETTERS B
	2022-02-28
卷号	36 期号:06 页码:10
关键词	Signed networks epidemic propagation infection rate mean field approximation dynamic properties
ISSN号	0217-9849
DOI	10.1142/S0217984921505941
英文摘要	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.
资助项目	Innovation Training Program of Shandong Province[S202110449046] ; National Natural Science Foundation of China[62073045]
WOS研究方向	Physics
语种	英语
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
WOS记录号	WOS:000765319300001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60130]
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.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Binzhou Univ, Coll Econ & Management, Binzhou 256600, Shandong, Peoples R China 3.Binzhou Univ, Coll Sci, Binzhou 256600, Shandong, Peoples R China
推荐引用方式 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.