[1]王晶囡,逯兰芬,高 旭,等. SIR 无标度网络模型稳定性及免疫控制策略[J].哈尔滨理工大学学报,2018,(02):144-148.[doi:10. 15938/j. jhust. 2018. 02. 026]
 WANG Jing-nan,LU Lan-fen,GAO Xu,et al. Stability and Immune Control Strategy of SIR Scale-free Network Model[J].哈尔滨理工大学学报,2018,(02):144-148.[doi:10. 15938/j. jhust. 2018. 02. 026]
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 SIR 无标度网络模型稳定性及免疫控制策略
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《哈尔滨理工大学学报》[ISSN:1007-2683/CN:23-1404/N]

卷:
期数:
2018年02期
页码:
144-148
栏目:
材料科学与工程
出版日期:
2018-04-25

文章信息/Info

Title:
 Stability and Immune Control Strategy of SIR Scale-free Network Model
文章编号:
1007-2683( 2018) 02-0144-05
作者:
 王晶囡 逯兰芬 高 旭 许云中 丁悦航
 哈尔滨理工大学 应用科学学院,黑龙江 哈尔滨 150080)
Author(s):
 WANG Jing-nan LU Lan-fen GAO Xu XU Yun-zhong DING Yue-hang
 ( School of Applied Sciences,Harbin University of Science and Technology,Harbin 150080,China)
关键词:
 无标度网络稳定性传染病模型临界值免疫
Keywords:
 scale-free networks stability epidemic model threshold value immunity
分类号:
O175; O193
DOI:
10. 15938/j. jhust. 2018. 02. 026
文献标志码:
A
摘要:
 为了研究疫苗免疫和群外个体迁入对 SIR 型传染病传播行为的影响,在复杂网络上建 立了一类含有免疫作用的 SIR 传染病模型,讨论了具有齐次性质的 SIR 复杂网络平衡点稳定性和 具有非齐次性质的无标度网络( 度分布关联和度分布不关联) 染病平衡点的存在性,从中得到了 3 种情况的染病临界值,根据临界值讨论了比例免疫和目标免疫策略优缺点,为控制病毒传染提供了 的理论参考
Abstract:
 In order to study the effect of the vaccine immunization and the individual immigration on the spread behaviors of the SIR epidemic,the SIR epidemic model for complex networks is constructed. The equilibrium stability of complex networks with homogeneous characteristics and the existence of epidemic equilibriums of scalefree network with non-homogeneous ( when the node degrees’distribution are related and when the node degrees’ distribution) are discussed. The epidemic critical threshold values under three different conditions are obtained. Based on the epidemic critical thresholds values,the advantages and disadvantages of uniform ratio immunization and targeted ratio immunization are compared,which presents the theoretical reference for controlling viral infection.

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更新日期/Last Update: 2018-06-30