A Rumor Spreading Model considering the Cumulative Effects of Memory

This paper proposes a rumor spreading model which examines how the memory effects rate changes over time in artificial network and a real social network. This model emphasizes a special rumor spreading characteristic called “the cumulative effects of memory.” A function p(t) reflecting the cumulativ...

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Main Authors: Yi Zhang, Jiuping Xu
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2015/204395
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author Yi Zhang
Jiuping Xu
author_facet Yi Zhang
Jiuping Xu
author_sort Yi Zhang
collection DOAJ
description This paper proposes a rumor spreading model which examines how the memory effects rate changes over time in artificial network and a real social network. This model emphasizes a special rumor spreading characteristic called “the cumulative effects of memory.” A function p(t) reflecting the cumulative memory effects is established, which replaces the constant rate of memory effects in the traditional model. Further, rumor spreading model simulations are conducted with different parameters in three artificial networks. The results show that all the parameters but the initial memory rate of memory effects function have a significant impact on rumor spreading. At the same time, the simulation results show that the final size of the stiflers is sensitive to the average degree k when it is small but is not sensitive to k when the average degree is greater than a certain degree. Finally, through investigations on the Sina Microblog network, the numerical solutions show that the peak value and final size of the rumor spreading are much larger under a variable memory effects rate than under a constant rate.
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institution Kabale University
issn 1026-0226
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language English
publishDate 2015-01-01
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record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-d906d8e383fd4aed944410c06d794c2f2025-02-03T01:13:13ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/204395204395A Rumor Spreading Model considering the Cumulative Effects of MemoryYi Zhang0Jiuping Xu1Business School, Sichuan University, Chengdu 610064, ChinaBusiness School, Sichuan University, Chengdu 610064, ChinaThis paper proposes a rumor spreading model which examines how the memory effects rate changes over time in artificial network and a real social network. This model emphasizes a special rumor spreading characteristic called “the cumulative effects of memory.” A function p(t) reflecting the cumulative memory effects is established, which replaces the constant rate of memory effects in the traditional model. Further, rumor spreading model simulations are conducted with different parameters in three artificial networks. The results show that all the parameters but the initial memory rate of memory effects function have a significant impact on rumor spreading. At the same time, the simulation results show that the final size of the stiflers is sensitive to the average degree k when it is small but is not sensitive to k when the average degree is greater than a certain degree. Finally, through investigations on the Sina Microblog network, the numerical solutions show that the peak value and final size of the rumor spreading are much larger under a variable memory effects rate than under a constant rate.http://dx.doi.org/10.1155/2015/204395
spellingShingle Yi Zhang
Jiuping Xu
A Rumor Spreading Model considering the Cumulative Effects of Memory
Discrete Dynamics in Nature and Society
title A Rumor Spreading Model considering the Cumulative Effects of Memory
title_full A Rumor Spreading Model considering the Cumulative Effects of Memory
title_fullStr A Rumor Spreading Model considering the Cumulative Effects of Memory
title_full_unstemmed A Rumor Spreading Model considering the Cumulative Effects of Memory
title_short A Rumor Spreading Model considering the Cumulative Effects of Memory
title_sort rumor spreading model considering the cumulative effects of memory
url http://dx.doi.org/10.1155/2015/204395
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AT jiupingxu arumorspreadingmodelconsideringthecumulativeeffectsofmemory
AT yizhang rumorspreadingmodelconsideringthecumulativeeffectsofmemory
AT jiupingxu rumorspreadingmodelconsideringthecumulativeeffectsofmemory