title: How multiple social networks affect user awareness: The information diffusion process in multiplex networks.
abstract: The information diffusion process in single complex networks has been extensively studied, especially for modeling the spreading activities in online social networks. However, individuals usually use multiple social networks at the same time, and can share the information they have learned from one social network to another. This phenomenon gives rise to a new diffusion process on multiplex networks with more than one network layer. In this paper we account for this multiplex network spreading by proposing a model of information diffusion in two-layer multiplex networks. We develop a theoretical framework using bond percolation and cascading failure to describe the intralayer and interlayer diffusion. This allows us to obtain analytical solutions for the fraction of informed individuals as a function of transmissibility T and the interlayer transmission rate θ. Simulation results show that interaction between layers can greatly enhance the information diffusion process. And explosive diffusion can occur even if the transmissibility of the focal layer is under the critical threshold, due to interlayer transmission.
authors.affiliation: School of Mathematics and Systems Science, Beihang University, Beijing 100191, China.|Key Laboratory of Mathematics Informatics Behavioral Semantics (LMIB), Ministry of Education, China.
authors.forename: Weihua
authors.initials: W
authors.lastname: Li
authors.affiliation: School of Mathematics and Systems Science, Beihang University, Beijing 100191, China.|Key Laboratory of Mathematics Informatics Behavioral Semantics (LMIB), Ministry of Education, China.
authors.forename: Shaoting
authors.initials: S
authors.lastname: Tang
authors.affiliation: Key Laboratory of Mathematics Informatics Behavioral Semantics (LMIB), Ministry of Education, China.|School of Mathematical Sciences, Peking University, Beijing 100871, China.
authors.forename: Wenyi
authors.initials: W
authors.lastname: Fang
authors.affiliation: School of Mathematics and Systems Science, Beihang University, Beijing 100191, China.|Key Laboratory of Mathematics Informatics Behavioral Semantics (LMIB), Ministry of Education, China.
authors.forename: Quantong
authors.initials: Q
authors.lastname: Guo
authors.affiliation: School of Mathematics and Systems Science, Beihang University, Beijing 100191, China.|Key Laboratory of Mathematics Informatics Behavioral Semantics (LMIB), Ministry of Education, China.
authors.forename: Xiao
authors.initials: X
authors.lastname: Zhang
authors.affiliation: School of Mathematics and Systems Science, Beihang University, Beijing 100191, China.|Key Laboratory of Mathematics Informatics Behavioral Semantics (LMIB), Ministry of Education, China.
authors.forename: Zhiming
authors.initials: Z
authors.lastname: Zheng