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• W2000772912 endingPage "P11024" @default.
• W2000772912 startingPage "P11024" @default.
• W2000772912 abstract "We propose a multistage version of the independent cascade model, which we call a multistage independent cascade (MIC) model, on networks. This model is parameterized by two probabilities: the probability $T_1$ that a node adopting a fad increases the awareness of a neighboring susceptible node, and the probability $T_2$ that an adopter directly causes a susceptible node to adopt the fad. We formulate a tree approximation for the MIC model on an uncorrelated network with an arbitrary degree distribution $p_k$. Applied on a random regular network with degree $k=6$, this model exhibits a rich phase diagram, including continuous and discontinuous transition lines for fad percolation, and a continuous transition line for the percolation of susceptible nodes. In particular, the percolation transition of fads is discontinuous (continuous) when $T_1$ is larger (smaller) than a certain value. A similar discontinuous transition is also observed in random graphs and scale-free networks. Furthermore, assigning a finite fraction of initial adopters dramatically changes the phase boundaries." @default.
• W2000772912 created "2016-06-24" @default.
• W2000772912 creator A5023279166 @default.
• W2000772912 creator A5024222580 @default.
• W2000772912 date "2014-11-18" @default.
• W2000772912 modified "2023-10-14" @default.
• W2000772912 title "Discontinuous transition of a multistage independent cascade model on networks" @default.
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• W2000772912 doi "https://doi.org/10.1088/1742-5468/2014/11/p11024" @default.
• W2000772912 hasPublicationYear "2014" @default.
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