图 书 馆
疫情网络拓扑的传播影响Influence of the network topology on epidemic spreading |
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| 课程网址: | http://videolectures.net/solomon_kocarev_epidemic_spreading/ |
| 主讲教师: | Ljupčo Kocarev |
| 开课单位: | 马其顿科学艺术学院 |
| 开课时间: | 2013-07-19 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | The influence of the network’s structure on the dynamics of spreading processes has been extensively studied in the last decade. Important results that partially answer this question show a weak connection between the macroscopic behavior of these processes and specific structural properties in the network, such as the largest eigenvalue of a topology related matrix. However, little is known about the direct influence of the network topology on the microscopic level, such as the influence of the (neighboring) network on the probability of a particular node’s infection. To answer this question, we derive both an upper and a lower bound for the probability that a particular node is infective in a susceptible-infective-susceptible model for two cases of spreading processes: reactive and contact processes. The bounds are derived by considering the n-hop neighborhood of the node; the bounds are tighter as one uses a larger n-hop neighborhood to calculate them. Consequently, using local information for different neighborhood sizes, we assess the extent to which the topology influences the spreading process, thus providing also a strong macroscopic connection between the former and the latter. Our findings are complemented by numerical results for a real-world email network. A very good estimate for the infection density is obtained using only two-hop neighborhoods, which account for 0.4% of the entire network topology on average. |
| 关 键 词: | 计算机科学; 网络分析; 影响 |
| 课程来源: | 视频讲座网 |
| 最后编审: | 2020-06-11：liush |
| 阅读次数: | 48 |