无标度网络中遗忘率变化的谣言传播模型研究

Rumor spreading model with variable forgetting rate in scale-free network

本文在无标度网络中研究了遗忘率随时间变化的谣言传播模型,推导出了对应的平均场方程,并在社交网络人人网中就遗忘率对谣言传播过程的影响进行了数值模拟.结果表明:遗忘率对谣言传播的最终规模有重要影响,初始遗忘率越大或遗忘速度越大,谣言的最终传播规模越小;与遗忘率为常数的谣言传播模型相比,谣言在遗忘率随时间变化的模型中传播规模更小.研究还表明,网络结构对谣言传播也有重要影响,谣言在无标度网络中的传播速度比在均匀网络中更快,最终传播规模更小.

This paper studies the rumor spreading model with a function of forgetting rate changing over time in scale-free networks. The corresponding mean-field equations are derived. Further, numerical simulations are conducted on Renren Network, an online social platform, to better understand the performance of the model. Results show that forgetting rate has a significant impact on the final size of rumor spreading： the larger the initial forgetting rate or the faster the forgetting speed, the smaller the final size of the rumor spreading; The final size of rumor spreading is much smaller under variable forgetting rate compared to that under a constant forgetting rate. Simulations also show that the spreading speed is faster and the final size is smaller in scale-free network than in homogeneous network.