Dynamical behaviors and spatial diffusion in a psychologically realistic rumor spreading model

Yingying Cheng (), Liang’an Huo, Liang Ma () and Hongyuan Guo ()
Additional contact information
Yingying Cheng: Business School, University of Science and Technology, Shanghai 200093, China Shanghai, P. R. China
Liang’an Huo: Business School, University of Science and Technology, Shanghai 200093, China Shanghai, P. R. China
Liang Ma: Business School, University of Science and Technology, Shanghai 200093, China Shanghai, P. R. China
Hongyuan Guo: Business School, University of Science and Technology, Shanghai 200093, China Shanghai, P. R. China

International Journal of Modern Physics C (IJMPC), 2020, vol. 31, issue 02, 1-18

Abstract: The spread of rumors has caused serious social and economic problems, especially during emergencies. Reducing the harm caused by rumors requires understanding the dynamical mechanism by which they propagate. To include the influence of time-dependent psychological factors, this paper proposes an improved rumor spreading model and derives mean-field equations describing the dynamics of rumor spreading. The psychological factors considered are the attenuation of individual interest, the cumulative effect of memory, and changes in sensory intensity with time. We also obtain the threshold condition of rumor spreading. Numerical simulations are used to verify our theoretical results. It is proved that the extremum of the cumulative effect of memory and the rumor attraction rate are positively correlated with the peak number of rumor spreaders, and negatively with the time required to reach the final rumor size. Time grows geometrically, while sensory intensity grows arithmetically. The initial approval rate of the memory accumulation effect and the stifling mechanism have little effect on the final rumor size. Finally, it is found that increasing the attenuation of interest coefficient reduces the time needed for the rumor to reach its final size.

Keywords: Rumor spreading; psychological effect; spatial diffusion; complex social networks (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183120500345
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:31:y:2020:i:02:n:s0129183120500345

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183120500345

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 ().