| Dynamic spreading behavior of homogeneous and heterogeneous networks |
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| 作者姓名： | XIA Chengyi LIU Zhongxin CHEN Zengqiang YUAN Zhuzhi |
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| 作者单位： | 1. Department of Automation, Nankai University, Tianjin 300071, China； 2. Department of Computer Science and Engineering, Tianjin University of Technology, Tianjin 300191, China |
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| 基金项目： | Supported by National Natural Science Foundation of China (Grant No. 60574036)，the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20050055013)，the Program for New Century Excellent Talents in University of China (NCET) |
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| 摘 要： | The detailed investigation of the dynamic epidemic spreading on homogeneous and heterogeneous networks was carried out. After the analysis of the basic epidemic models, the susceptible-infected-susceptible (SIS) model on homogenous and heterogeneous networks is established, and the dynamical evolution of the density of the infected individuals in these two different kinds of networks is analyzed theoretically. It indicates that heterogeneous networks are easier to propagate for the epidemics and the leading spreading behavior is dictated by the exponential increasing in the initial outbreaks. Large-scale simulations display that the infection is much faster on heterogeneous networks than that on homogeneous ones. It means that the network topology can have a significant effect on the epidemics taking place on complex networks. Some containment strategies of epidemic outbreaks are presented according to the theoretical analyses and numerical simulations.
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Dynamic spreading behavior of homogeneous and heterogeneous networks |
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| Authors: | XIA Chengyi LIU Zhongxin CHEN Zengqiang YUAN Zhuzhi |
| |
| Abstract: | The detailed investigation of the dynamic epidemic spreading on homogeneous and heterogeneous networks was carried out. After the analysis of the basic epidemic models, the susceptible-infected-susceptible (SIS) model on homogenous and heterogeneous networks is established, and the dynamical evolution of the density of the infected individuals in these two different kinds of networks is analyzed theoretically. It indicates that heterogeneous networks are easier to propagate for the epidemics and the leading spreading behavior is dictated by the exponential increasing in the initial outbreaks. Large-scale simulations display that the infection is much faster on heterogeneous networks than that on homogeneous ones. It means that the network topology can have a significant effect on the epidemics taking place on complex networks. Some containment strategies of epidemic outbreaks are presented according to the theoretical analyses and numerical simulations. |
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| Keywords: | complex networks dynamic epidemic spreading SIS model homogeneous networks heterogeneous networks containment strategies |
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