Dynamical analysis of rumor spreading model in homogeneous complex networks

Jiarong Li, Haijun Jiang, Zhiyong Yu and Cheng Hu

Applied Mathematics and Computation, 2019, vol. 359, issue C, 374-385

Abstract: In this paper, an I2S2R rumor spreading model in complex networks is established and analyzed. Firstly, the threshold value is acquired to identify the existence and stability of rumor-free equilibria state and rumor equilibria state by using the next generation matrix method. Secondly, based on Routh–Hurwitz judgment, Lyapunov stability theory and LaSalle’s invariance principle, the local and global stability of rumor-free/rumor equilibrium points are discussed. Thirdly, the sensitivity analysis about the threshold value is given to analyze the impact of model parameters on rumor propagation. Finally, some numerical simulations are presented to illustrate the validity and feasibility of corresponding results.

Keywords: Rumor spreading; Complex network; Global stability; Sensitivity analysis (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (17)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:359:y:2019:i:c:p:374-385

DOI: 10.1016/j.amc.2019.04.076

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