中国物理B ›› 2022, Vol. 31 ›› Issue (4): 40205-040205.doi: 10.1088/1674-1056/ac587d
Xiaojing Zhong(钟晓静)1, Yukun Yang(杨宇琨)1, Runqing Miao(苗润青)2, Yuqing Peng(彭雨晴)1,†, and Guiyun Liu(刘贵云)1,‡
Xiaojing Zhong(钟晓静)1, Yukun Yang(杨宇琨)1, Runqing Miao(苗润青)2, Yuqing Peng(彭雨晴)1,†, and Guiyun Liu(刘贵云)1,‡
摘要: We propose a novel rumor propagation model with guidance mechanism in heterogeneous complex networks. Firstly, the sharp threshold of rumor propagation, global stability of the information-equilibrium and information-prevailing-equilibrium under R0 <1 and R0> 1 is carried out by Lyapunov method and LaSalle's invariant principle. Next, we design an aperiodically intermittent stochastic stabilization method to suppress the rumor propagation. By using the Itô formula and exponential martingale inequality, the expression of the minimum control intensity is calculated. This method can effectively stabilize the rumor propagation by choosing a suitable perturb intensity and a perturb time ratio, while minimizing the control cost. Finally, numerical examples are given to illustrate the analysis and method of the paper.
中图分类号: (Stochastic analysis)