Dynamic analysis of a stochastic rumor propagation model

Fangju Jia and Guangying Lv

Physica A: Statistical Mechanics and its Applications, 2018, vol. 490, issue C, 613-623

Abstract: The rapid development of the Internet, especially the emergence of the social networks, leads rumor propagation into a new media era. In this paper, we are concerned with a stochastic rumor propagation model. Sufficient conditions for extinction and persistence in the mean of the rumor are established. The threshold between persistence in the mean and extinction of the rumor is obtained. Compared with the corresponding deterministic model, the threshold affected by the white noise is smaller than the basic reproduction number R0 of the deterministic system.

Keywords: Rumor propagation model; Itô’s formula; Threshold (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:490:y:2018:i:c:p:613-623

DOI: 10.1016/j.physa.2017.08.125

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