Dynamics and intermittent stochastic stabilization of a rumor spreading model with guidance mechanism in heterogeneous network

doi:10.1088/1674-1056/ac587d

中国物理B ›› 2022, Vol. 31 ›› Issue (4): 40205-040205.doi: 10.1088/1674-1056/ac587d

Dynamics and intermittent stochastic stabilization of a rumor spreading model with guidance mechanism in heterogeneous network

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,‡

1 School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, China;
2 College of Arts and Sciences, Beijing Normal University at Zhuhai, Zhuhai 519087, China

收稿日期:2021-10-24 修回日期:2022-01-13 接受日期:2022-02-25 出版日期:2022-03-16 发布日期:2022-03-21
通讯作者: Yuqing Peng, Guiyun Liu E-mail:sjcpyq@gzhu.edu.cn;liugy@gzhu.edu.cn
基金资助:
Project supported by the Guangzhou Science and Technology Project (Grant No. 20210202710) and Scientific Research Project of Guangzhou University (Grant No. YG2020010).

Dynamics and intermittent stochastic stabilization of a rumor spreading model with guidance mechanism in heterogeneous network

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,‡

1 School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, China;
2 College of Arts and Sciences, Beijing Normal University at Zhuhai, Zhuhai 519087, China

Received:2021-10-24 Revised:2022-01-13 Accepted:2022-02-25 Online:2022-03-16 Published:2022-03-21
Contact: Yuqing Peng, Guiyun Liu E-mail:sjcpyq@gzhu.edu.cn;liugy@gzhu.edu.cn
Supported by:
Project supported by the Guangzhou Science and Technology Project (Grant No. 20210202710) and Scientific Research Project of Guangzhou University (Grant No. YG2020010).

摘要/Abstract

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.

关键词: guidance mechanism, heterogenous network, global dynamic analysis, aperiodically intermittent stochastic stabilization

Abstract: 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.

Key words: guidance mechanism, heterogenous network, global dynamic analysis, aperiodically intermittent stochastic stabilization

中图分类号: (Stochastic analysis)

02.50.Fz

02.40.Vh (Global analysis and analysis on manifolds) 02.30.-f (Function theory, analysis)

Xiaojing Zhong(钟晓静), Yukun Yang(杨宇琨), Runqing Miao(苗润青), Yuqing Peng(彭雨晴), and Guiyun Liu(刘贵云). Dynamics and intermittent stochastic stabilization of a rumor spreading model with guidance mechanism in heterogeneous network[J]. 中国物理B, 2022, 31(4): 40205-040205.

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Dynamics and intermittent stochastic stabilization of a rumor spreading model with guidance mechanism in heterogeneous network

Dynamics and intermittent stochastic stabilization of a rumor spreading model with guidance mechanism in heterogeneous network

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