Dynamical analysis of rumor spreading model with impulse vaccination and time delay
Liang'an Huo and
Chenyang Ma
Physica A: Statistical Mechanics and its Applications, 2017, vol. 471, issue C, 653-665
Abstract:
Rumor cause unnecessary conflicts and confusion by misleading the cognition of the public, its spreading has largely influence on human affairs. All kinds of rumors and people’s suspicion are often caused by the lack of official information. Hence, the official should take a variety of channels to deny the rumors. The promotion of scientific knowledge is implemented to improve the quality of the whole nation, reduce the harm caused by rumor spreading. In this paper, regarding the process of the science education that official deny the rumor many times as periodic impulse, we propose a XWYZ rumor spreading model with impulse vaccination and time delay, and analyze the global dynamics behaviors of the model. By using the discrete dynamical system determined by the comparison theory and Floquet theorem, we show that there exists a rumor-free periodic solution. Further, we show that the rumor-free periodic solution is globally attractive under appropriate conditions. We also obtain a sufficient condition for the permanence of model. Finally, with the numerical simulation, our results indicate that large vaccination rate, short impulse period or long latent period is sufficient condition for the extinction of the rumors.
Keywords: Rumor spreading; Official information; Impulsive vaccination; Time delay (search for similar items in EconPapers)
Date: 2017
References: Add references at CitEc
Citations: View citations in EconPapers (11)
Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437116310159
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:471:y:2017:i:c:p:653-665
DOI: 10.1016/j.physa.2016.12.024
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 (repec@elsevier.com).