Rumor Propagation With Self-Awareness and Event-Triggered Intermittent Control Strategy
Hui Wang
School of Mathematics Science, Xinjiang Normal University, Urumqi, China
Contribution: Methodology, Software, Data curation, Writing - review & editing, Writing - original draft, Formal analysis
Search for more papers by this authorCorresponding Author
Shuzhen Yu
School of Mathematics Science, Xinjiang Normal University, Urumqi, China
Correspondence:
Shuzhen Yu ([email protected])
Contribution: Project administration, Resources, Funding acquisition, Writing - review & editing, Conceptualization, Validation, Supervision, Formal analysis
Search for more papers by this authorZhiyong Yu
College of Mathematics and System Science, Xinjiang University, Urumqi, China
Contribution: Conceptualization, Data curation, Supervision, Investigation
Search for more papers by this authorHaijun Jiang
School of Mathematics Science, Xinjiang Normal University, Urumqi, China
Contribution: Visualization, Project administration, Funding acquisition
Search for more papers by this authorHui Wang
School of Mathematics Science, Xinjiang Normal University, Urumqi, China
Contribution: Methodology, Software, Data curation, Writing - review & editing, Writing - original draft, Formal analysis
Search for more papers by this authorCorresponding Author
Shuzhen Yu
School of Mathematics Science, Xinjiang Normal University, Urumqi, China
Correspondence:
Shuzhen Yu ([email protected])
Contribution: Project administration, Resources, Funding acquisition, Writing - review & editing, Conceptualization, Validation, Supervision, Formal analysis
Search for more papers by this authorZhiyong Yu
College of Mathematics and System Science, Xinjiang University, Urumqi, China
Contribution: Conceptualization, Data curation, Supervision, Investigation
Search for more papers by this authorHaijun Jiang
School of Mathematics Science, Xinjiang Normal University, Urumqi, China
Contribution: Visualization, Project administration, Funding acquisition
Search for more papers by this authorFunding: This work was supported in part by the Natural Science Foundation of Xinjiang Uygur Autonomous Region under Grant No. 2022D01B111, in part by the Youth Top Talent Project of Xinjiang Normal University under Grant No. XJNUQB2023-15, in part by the Doctoral Research Foundation of Xinjiang Normal University under Grant No. XJNUZBS2408, in part by the Tianshan Talent Training Program under Grant No. 2022TSYCLJ0004, and in part by the Tianchi Talent Training Program.
ABSTRACT
The emergence of rumors indisputably poses significant harm to society and individuals. So as to deeply study the mechanism of rumor propagation, this article comprehensively considers various factors such as individual self-awareness, saturation spread rate, and time delay to meticulously formulate a dynamic system of rumor dissemination in online social networks. Initially, the basic reproduction number is derived utilizing the next-generation matrix method, thereby validating the existence of rumor equilibrium points. Secondly, leveraging the Jacobian matrix method and Lyapunov stability theory, we rigorously prove the local stability and global asymptotic stability of both the rumor-free equilibrium and the rumor equilibrium. Subsequently, we also delve into the existence conditions of Hopf bifurcation. In addition, a new event-triggered intermittent control strategy is proposed to suppress the spread of rumors. Finally, numerical simulations are proved to validate the effectiveness of the theoretical results.
Conflicts of Interest
The authors declare no conflicts of interest.
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