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

doi:10.1088/1674-1056/ac587d

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.

Keywords: guidance mechanism heterogenous network global dynamic analysis aperiodically intermittent stochastic stabilization

Received: 24 October 2021
Revised: 13 January 2022
Accepted manuscript online: 25 February 2022

PACS:	02.50.Fz	(Stochastic analysis)
	02.40.Vh	(Global analysis and analysis on manifolds)
	02.30.-f	(Function theory, analysis)

Fund: Project supported by the Guangzhou Science and Technology Project (Grant No. 20210202710) and Scientific Research Project of Guangzhou University (Grant No. YG2020010).

Corresponding Authors: Yuqing Peng, Guiyun Liu
E-mail: sjcpyq@gzhu.edu.cn;liugy@gzhu.edu.cn

Cite this article:

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 2022 Chin. Phys. B 31 040205

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

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