Zhong Xiaojing, Luo Chaolong, Dong Xiaowu, Bai Dingyong, Liu Guiyun, Xie Ying, Peng Yuqing
School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, China.
School of Mathematics, Guangzhou University, Guangzhou 510006, China.
Entropy (Basel). 2023 Aug 10;25(8):1192. doi: 10.3390/e25081192.
With the development of information technology, individuals are able to receive rumor information through various channels and subsequently act based on their own perceptions. The significance of the disparity between media and individual cognition in the propagation of rumors cannot be underestimated. In this paper, we establish a dual-layer rumor propagation model considering the differences in individual cognition to study the propagation behavior of rumors in multiple channels. Firstly, we obtain the threshold for rumor disappearance or persistence by solving the equilibrium points and their stability. The threshold is related to the number of media outlets and the number of rumor debunkers. Moreover, we have innovatively designed a class of non-periodic intermittent noise stabilization methods to suppress rumor propagation. This method can effectively control rumor propagation based on a flexible control scheme, and we provide specific expressions for the control intensity. Finally, we have validated the accuracy of the theoretical proofs through experimental simulations.
随着信息技术的发展，个人能够通过各种渠道接收谣言信息，并随后根据自己的认知采取行动。在谣言传播过程中，媒体与个人认知差异的重要性不可低估。在本文中，我们建立了一个考虑个体认知差异的双层谣言传播模型，以研究谣言在多个渠道中的传播行为。首先，我们通过求解平衡点及其稳定性得到谣言消失或持续的阈值。该阈值与媒体数量和谣言辟谣者数量有关。此外，我们创新性地设计了一类非周期性间歇噪声稳定方法来抑制谣言传播。该方法可以基于灵活的控制方案有效地控制谣言传播，并且我们给出了控制强度的具体表达式。最后，我们通过实验模拟验证了理论证明的准确性。
