Modeling and controlling delayed rumor propagation with general incidence in heterogeneous networks

Xupeng Luo, Haijun Jiang, Jiarong Li (), Shanshan Chen () and Yang Xia ()
Additional contact information
Xupeng Luo: College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, P. R. China2College of Mathematics and Physics, Guangxi Minzu University, Nanning 530006, P. R. China
Haijun Jiang: College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, P. R. China
Jiarong Li: College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, P. R. China
Shanshan Chen: College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, P. R. China
Yang Xia: College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, P. R. China

International Journal of Modern Physics C (IJMPC), 2024, vol. 35, issue 02, 1-29

Abstract: To explore the rumor propagation dynamics in online social networks (OSNs) and propose the corresponding control strategies, a novel Ignorants-Spreaders-1-Spreaders-2-Removers (I2SR) rumor-spreading model with general incidence is first formulated in heterogeneous networks. This model covers the bilinear incidence and nonlinear incidence, and considers the time delay in the rumor-spreading process, which is universal and practical. We analytically derive the basic reproduction numbers, which determine the existence of rumor-spreading equilibria but also the global dynamics of the model. Moreover, the Lyapunov–LaSalle principle and the graph-theoretic approach prove the global asymptotic stability of the rumor-free/rumor-spreading equilibria in detail. Significantly, the effects of various strategies, including uniform control, targeted control, and acquaintance control, are implemented and compared. Finally, the developed theoretical results are tested via numerical simulations and a real case data of rumors, showing that the model can more accurately simulate rumor-spreading in OSNs.

Keywords: Rumor propagation; heterogeneous network; general incidence; time delay; control strategy (search for similar items in EconPapers)
Date: 2024
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183124500207
Access to full text is restricted to subscribers

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:wsi:ijmpcx:v:35:y:2024:i:02:n:s0129183124500207

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183124500207

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().