Dynamic analysis of rumor propagation model with distributed delay and saturation cure rate in multilingual environment

Rongrong Yin and Ahmadjan Muhammadhaji

Chaos, Solitons & Fractals, 2025, vol. 200, issue P2

Abstract: This study advances existing literature by proposing a novel rumor propagation model, which systematically investigates dynamical behaviors and corresponding control strategies. Explicitly tailored to the multilingual social network context, the model incorporates continuous distributed time delays and partitions the population into four distinct subgroups, thereby elucidating the underlying dynamical behaviors and mechanisms governing rumor dissemination. Through analysis of the models equilibrium points, this research derives necessary conditions for rumor extinction and establishes criteria for both local and global asymptotic stability of the rumor-free equilibrium, as well as for the rumor-prevalent equilibrium under specific parametric regimes. Additionally, it uncovers the occurrence of backward bifurcation in heterogeneous networks and develops criteria to determine its direction. Furthermore, an optimal control strategy is formulated using optimal control theory to mitigate rumor spread. Finally, numerical simulations validate the theoretical findings, laying a foundational framework for the investigation, mitigation, and management of rumor propagation in multilingual environments.

Keywords: Multilingual environment; Distributed delay; Stability analysis; Optimal control (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077925010689
Full text for ScienceDirect subscribers only

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:chsofr:v:200:y:2025:i:p2:s0960077925010689

DOI: 10.1016/j.chaos.2025.117055

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().