Global stability of a rumor spreading model with discontinuous control strategies

Honglan Zhu, Xuebing Zhang and Qi An

Physica A: Statistical Mechanics and its Applications, 2022, vol. 606, issue C

Abstract: With the rapid development of online media in recent years, rumors have also proliferated and spread. If they are not effectively managed, they will cause great harm to society. So, how to stop the spread of rumors has become a hot topic that needs to be studied. In this study, we consider a rumor spreading model with discontinuous control strategies. According to differential inclusion theory, we investigate the existence and boundedness of the solution of the model. By the theory of topological degree, we derive some conditions for the existence of the equilibria of the model, as well as studying the global asymptotic stability of the rumor-free equilibrium and the positive equilibrium. Finally, we study global convergence in finite time. These findings can aid in the development of rumor-control policies. The study may have important implications for effectively predicting and preventing rumor spread.

Keywords: Global stability; Rumor spreading; Discontinuous control strategies; Social networks (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437122007154
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:606:y:2022:i:c:s0378437122007154

DOI: 10.1016/j.physa.2022.128157

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().