Nonlinear dynamic information propagation mathematic modeling and analysis based on microblog social network
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ORIGINAL ARTICLE
Nonlinear dynamic information propagation mathematic modeling and analysis based on microblog social network Xiaoyang Liu1,2,3 · Daobing He1 Received: 20 February 2020 / Revised: 13 August 2020 / Accepted: 1 October 2020 © Springer-Verlag GmbH Austria, part of Springer Nature 2020
Abstract Based on the complex network theory and topological properties of scale-free network, a new information propagation model (Susceptible Exposed Inactive Infected Recovered, SEIIR) and dynamic evolution equations are proposed based on microblog social network in this paper. Firstly, we analyze the structure of microblog social network through simulating the real microblog social network environment, and the topological properties of the microblog network are researched. Secondly, microblog network structure and topological properties, traditional information propagation models (SIR, SIRS and SEIR) and evolution mechanism are also studied. Dynamic evolution equations of information propagation are constructed in microblog network, and nonlinear dynamic information propagation model is proposed. Effect factors of the information propagation process in microblog network are investigated. Finally, a series of simulation experiments are carried out. Simulation results show that the proposed new SEIIR model and information propagation dynamic evolution equations are reasonable and effective. It reveals the relationship between the state of microblog social network nodes and the evolution public opinion. It accurately depicts the information interaction mechanism and diffusion pattern in online social network. It provides a new scientific method and research approach for the study of social network public opinion evolution and information propagation. Keywords Microblog · Information propagation · Nonlinear dynamic · Social network
1 Introduction 1.1 Background Microblog is a kind of online social network emerging in recent years. The users of microblog are the nodes in the network, and the concern relationship between users is abstracted into an edge, which forms a complex network. The relationship between microblog users is built by different kinds of nodes. Therefore, the structure of microblog * Xiaoyang Liu [email protected] 1
School of Computer Science and Engineering, Chongqing University of Technology, Chongqing 400054, China
2
Center of Health Management Promotion, Xihua University, Chengdu 610039, China
3
Chongqing Engineering Technology Research Center for Information Management in Development, Chongqing Technology and Business University, Chongqing 400067, China
network is a directed network. If a user is interested in other user, they can follow other user and then become a fan of the user, and the user will receive the latest news and microblog updates from interested user (Stai et al. 2017; Xiao et al. 2020). Dey et al. (2017) proposed a representation strategy based on representation learning, rumor and anti-rumor feature space; the proposed model not only dynamically predicts the user’
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