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An SICR rumor spreading model in heterogeneous networks

Jinxian Li, ,School of Mathematical Sciences, Shanxi University, Taiyuan 030006, China, Ning Ren, Zhen Jin, ,Shanxi Key Laboratory of Mathematical Techniques and Big Data Analysis on Disease Control and Prevention, Taiyuan 030006, China, ,Complex System Research Center, Shanxi University, Taiyuan 030006, China
2017 Discrete and continuous dynamical systems. Series B  

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This article discusses the spread of rumors in heterogeneous networks. Using the probability generating function method and the approximation theory, we establish an SICR rumor model and calculate the threshold conditions for the outbreak of the rumor. We also compare the speed of the rumors spreading with different initial conditions. The numerical simulations of the SICR model in this paper fit well with the stochastic simulations, which means that the model is reliable. Moreover the effects
more » ... f the parameters in the model on the transmission of rumors are studied numerically. 2010 Mathematics Subject Classification. Primary: 05C80, 37N25; Secondary: 92D25.
doi:10.3934/dcdsb.2019237 fatcat:kgaexfpeajc53juc2ujk3jxg5u
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Jinxian Li, ,School of Mathematical Sciences, Shanxi University, Taiyuan 030006, China, Ning Ren, Zhen Jin, ,Shanxi Key Laboratory of Mathematical Techniques and Big Data Analysis on Disease Control and Prevention, Taiyuan 030006, China, ,Complex System Research Center, Shanxi University, Taiyuan 030006, China. "An SICR rumor spreading model in heterogeneous networks." Discrete and continuous dynamical systems. Series B 22.11 (2017) 0-0