在线社交网络上改进的SIR谣言传播模型

Improved SIR Rumors Propagation Model in Online Social Network

将网络中的免疫节点划分为两类，不信谣也不辟谣的R1类免疫节点和不信谣但会主动辟谣的R2类免疫节点。由此，提出改进的SIR模型及其传播规则，得到模型传播动力学微分方程，使更加符合真实的在线社交网络。将改进的SIR模型和经典的SIR模型用MAT～LAB进行了对比实验，并用真实的Facebook数据进行验证。实验结果表明，在引入R2类免疫节点之后，谣言在整个网络中传播范围明显变小，传播速率明显下降。该模型有助于加深理解在线社交网络中的谣言传播规律。

The immune nodes in the network are divided into two categories：one is the R1 im- mune nodes who do not believe the rumor and do not kill the rumor, the other one is the R2 immune nodes who do not believe the rumor but will initiatively kill the rumor. So, we pro- pose the improved SIR model and the propagation rules, get spreading dynamics differential equation,makeing the model more in line with the real online social network. The improved SIR model and the classical SIR model are compared and verified by the real Facebook data by MATLAB. The experimental results show that the spread of rumors in the whole net- work is obviously smaller and the rate of transmission is significantly decreased after the in- troduction of R2 immune nodes, which helps to understand the law of rumors transmission in online social networks.