A rumor spreading model with variable forgetting rate

Laijun Zhao, Wanlin Xie, H. Oliver Gao, Xiaoyan Qiu, Xiaoli Wang and Shuhai Zhang

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 23, 6146-6154

Abstract: A rumor spreading model with the consideration of forgetting rate changing over time is examined in small-world networks. The mean-field equations are derived to describe the dynamics of rumor spreading in small-world networks. Further, numerical solutions are conducted on LiveJournal, an online social blogging platform, to better understand the performance of the model. Results show that the forgetting rate has a significant impact on the final size of rumor spreading: the larger the initial forgetting rate or the faster the forgetting speed, the smaller the final size of the rumor spreading. Numerical solutions also show that the final size of rumor spreading is much larger under a variable forgetting rate compared to that under a constant forgetting rate.

Keywords: Rumor spreading model; Variable forgetting rate; Small-world network (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (35)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:23:p:6146-6154

DOI: 10.1016/j.physa.2013.07.080

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