Please wait a minute...
文章检索
复杂系统与复杂性科学  2015, Vol. 12 Issue (3): 85-90    DOI: 10.13306/j.1672-3813.2015.03.013
  本期目录 | 过刊浏览 | 高级检索 |
延迟预警对家庭网络早期传播行为的影响
刘芳1, 许小媛1, 郑义2
1.江苏开放大学,南京 210036;
2.南京邮电大学,南京 210023
The Impact of Delayed Awareness on Early Spreading Among Households
LIU Fang1, XU Xiaoyuan1, ZHENG Yi2
1. Jiangsu Open University, Nanjing 210036, China;
2. Nanjing University of Posts and Telecommunications, Nanjing 210023, China
全文: PDF(818 KB)  
输出: BibTeX | EndNote (RIS)      
摘要 考虑全局干预和本地预警及其延迟实施对家庭网络早期传播行为的影响,从双层混合网络视角分析家庭网络模型,提出了一种家庭结构网络的病毒传播预警模型。通过马尔科夫链路径积分计算,并专注于预警措施延迟采纳导致的状态转移概率的差别,得到了早期传播动力学的相应数值指标。对全局预警与本地预警对系统早期动力行为的影响进行分析对比,发现在考虑接触次数情况下,本地预警对延迟的敏感性低于全局预警。
服务
把本文推荐给朋友
加入引用管理器
E-mail Alert
RSS
作者相关文章
刘芳
许小媛
郑义
关键词 双层混合网络全局预警本地预警延迟    
Abstract:An epidemic model with awareness among households is proposed to explore the impact of delayed global intervention and local awareness on early epidemic dynamics with the two levels of mixing structure. A number of explicit results are derived by focusing on different transition rates induced by delayed awareness perception in path integral of Markov chains. The different influences of global awareness and local awareness on early dynamics are assessed by introducing delays between the initial infection and the deployment of awareness. We show that the local awareness is less sensitive to the delay than global awareness when the contact number is considered.
Key wordstwo-level mixed network    global awareness    local awareness    delay
收稿日期: 2014-04-14      出版日期: 2026-06-22
ZTFLH:  O231.5  
  N945.12  
基金资助:国家自然科学基金(61374180,61302101);江苏省高校自然科学研究面上项目(14KJD520001);江苏开放大学“十二五”规划重点课题(12SEW-Z-005)
作者简介: 刘芳(1976-),女,安徽枞阳人,硕士,讲师,主要研究方向为复杂网络传播动力学。
引用本文:   
刘芳, 许小媛, 郑义. 延迟预警对家庭网络早期传播行为的影响[J]. 复杂系统与复杂性科学, 2015, 12(3): 85-90.
LIU Fang, XU Xiaoyuan, ZHENG Yi. The Impact of Delayed Awareness on Early Spreading Among Households[J]. Complex Systems and Complexity Science, 2015, 12(3): 85-90.
链接本文:  
https://fzkx.qdu.edu.cn/CN/10.13306/j.1672-3813.2015.03.013      或      https://fzkx.qdu.edu.cn/CN/Y2015/V12/I3/85
[1] 汪秉宏,周涛,王文旭,等. 当前复杂系统研究的几个方向[J]. 复杂系统与复杂性科学, 2008, 5(4): 21-28.
Wang Binghong, Zhou Tao, Wang Wenxu, et al. Several directions in complex system research[J]. Complex Systems and Complexity Science, 2008, 5(4): 21-28.
[2] Funk S, Gilad E, Watkins C, et al. The spread of awareness and its impact on epidemic outbreaks[J]. Proceedings of the National Academy of Sciences of the United States of America, 2009, 106(16): 6872-6877.
[3] Funk S, Salathé M, Jansen V A A, et al. Modelling the influence of human behavior on the spread of infectious diseases: a review[J]. Journal of The Royal Society Interface, 2010, 7(50): 1247-1256.
[4] Gong Y W, Song Y R, Jiang G P. Epidemic spreading in scale-free networks including the effect of individual vigilance[J]. Chinese Physics B, 2012, 21(1): 41-45.
[5] Wu Q C, Fu X C, Small M, et al. The impact of awareness on epidemic spreading in networks[J]. Chaos, 2012, 22(1): 0131011.
[6] Bagnoli F, Liò P, Sguanci L. Risk perception in epidemic modeling[J]. Physical Review E, 2007, 76(6): 61904.
[7] Funk S, Jansen V A A. Interacting epidemics on overlay networks[J]. Physical Review E, 2010, 81(3): 036118.
[8] Black A J, House T, Keeling M J, et al. Epidemiological consequences of household-based antiviral prophylaxis for pandemic influenza[J]. Journal of The Royal Society Interface, 2013, 10: 1019
[9] Ross J V, House T, Keeling M J. Calculation of disease dynamics in a population of households[J]. PLoS ONE, 2010, 5(3): e9666.
[10] Ball F G, Sirl D J, Trapman P. Analysis of a stochastic SIR epidemic on a random network incorporating household structure[J]. Mathematical Biosciences, 2010, 224(2): 53-73.
[11] Ross J V, Pagendam D E, Pollett P K. On parameter estimation in population models[J]. Theoretical Population Biology, 2006, 70(4): 498-510.
[12] Ghoshal G, Sander L M, Sokolov I M. SIS epidemics with household structure: the self-consistent field method[J]. Mathematical Biosciences, 2004, 190(1): 71-85.
[13] Pollett P K. Integrals for continuous-time Markov chains[J]. Mathematical Biosciences, 2003, 182 (2): 213-225.
[1] 豆中丽. 阶段结构分数阶生态流行病模型的稳定性分析[J]. 复杂系统与复杂性科学, 2025, 22(4): 133-138.
[2] 孔令仁, 亓庆源. 含参数不确定及时滞的线性系统自适应模型预测控制[J]. 复杂系统与复杂性科学, 2024, 21(3): 136-143.
[3] 臧鑫明, 储涛, 钟永光. 延迟与参考效应下的双渠道低碳供应链运营策略研究[J]. 复杂系统与复杂性科学, 2023, 20(3): 82-89.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed