Emergent User Behavior on Twitter Modelled by a Stochastic Differential Equation

Anders Mollgaard and Joachim Mathiesen

PLOS ONE, 2015, vol. 10, issue 5, 1-12

Abstract: Data from the social-media site, Twitter, is used to study the fluctuations in tweet rates of brand names. The tweet rates are the result of a strongly correlated user behavior, which leads to bursty collective dynamics with a characteristic 1/f noise. Here we use the aggregated "user interest" in a brand name to model collective human dynamics by a stochastic differential equation with multiplicative noise. The model is supported by a detailed analysis of the tweet rate fluctuations and it reproduces both the exact bursty dynamics found in the data and the 1/f noise.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0123876

DOI: 10.1371/journal.pone.0123876

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