| 复杂网络中考虑不完全免疫的病毒传播研究 |
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| 引用本文： | 王亚奇,蒋国平.复杂网络中考虑不完全免疫的病毒传播研究[J].海洋学报,2010,32(10):6734-6743. |
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| 作者姓名： | 王亚奇 蒋国平 |
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| 作者单位： | 南京邮电大学控制与智能技术研究中心,南京 210003;南京邮电大学控制与智能技术研究中心,南京 210003; 南京邮电大学自动化学院,南京 210003 |
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| 基金项目： | 国家教育部新世纪优秀人才支持计划(批准号:NCET-06-0510)、国家自然科学基金(批准号:60874091)和江苏省普通高校研究生科研创新计划(批准号:CX08B-081Z)资助的课题. |
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| 摘 要： | 提出一种新的流行病传播模型,基于平均场理论,研究传染媒介和传播延迟同时存在对网络中流行病传播行为的影响.理论分析和仿真结果表明,传染媒介和传播延迟同时存在显著增强了网络中流行病爆发的危险性,并加速了流行病的传播.研究还发现,对于给定的有效传播率,均匀网络中流行病的感染程度分别与传染媒介的传染概率和传播延迟呈对数关系,无标度网络中流行病的感染程度与传染媒介的传染概率呈幂率关系,而与传播延迟之间则存在线性关系.
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| 关 键 词： | 传染媒介 传播延迟 均匀网络 无标度网络 |
| 修稿时间： | 1/3/2010 12:00:00 AM |
Virus spreading on complex networks with imperfect immunization |
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| Wang Ya-Qi and Jiang Guo-Ping.Virus spreading on complex networks with imperfect immunization[J].Acta Oceanologica Sinica (in Chinese),2010,32(10):6734-6743. |
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| Authors: | Wang Ya-Qi and Jiang Guo-Ping |
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| Institution: | Center for Control and Intelligence Technology, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;Center for Control and Intelligence Technology, Nanjing University of Posts and Telecommunications, Nanjing 210003, China; College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, China |
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| Abstract: | In this paper, we propose a new susceptible-infected-susceptible (SIS) model with infective medium and spreading delay (MD-SIS) to study epidemic spreading in networks based on the mean-field theory. Theoretical analysis and simulation results show that the existence of infective medium and spreading delay can significantly enhance the risk of outbreak of epidemics and accelerate the epidemic spreading in the networks. For a given propagation rate, we found that the epidemic prevalence on the homogeneous network varies logarithmically with infection probability of infective medium and spreading delay respectively, and the epidemic prevalence on the scale-free network has a power-law relation with infection probability of infective medium, but a linear relation with spreading delay. |
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| Keywords: | infective medium spreading delay homogeneous network scale-free network |
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