Global dynamics of the multi-lingual SIR rumor spreading model with cross-transmitted mechanism

Jinling Wang, Haijun Jiang, Tianlong Ma and Cheng Hu

Chaos, Solitons & Fractals, 2019, vol. 126, issue C, 148-157

Abstract: The dynamical behaviors of the multi-lingual SIR rumor spreading model are investigated in this paper. In view of the actual background, we consider the rumor spreading under the multi-lingual environment, and further establish a new model with cross-transmitted mechanism. Employing the theory of infectious diseases, both the basic reproduction number and the stability of the rumor-free equilibrium are systematically discussed. In addition, the global asymptotic stability of endemic equilibrium of the proposed model is analyzed via applying Lyapunov functions and graph theories. In addition, we perform sensitivity analysis on threshold conditions to determine the relative importance of model parameters to rumor transmission. Finally, the effectiveness of theoretical results is illustrated through the numerical examples.

Keywords: Rumor spreading; Multi-lingual environment; Global stability; Sensitivity analysis (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (12)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077919301924
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:126:y:2019:i:c:p:148-157

DOI: 10.1016/j.chaos.2019.05.027

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. ().