Stability analysis of I2S2R rumor spreading model in complex networks

Yuhuai Zhang and Jianjun Zhu

Physica A: Statistical Mechanics and its Applications, 2018, vol. 503, issue C, 862-881

Abstract: In this paper, we propose I2S2R rumor spreading model with general incidence function in homogeneous networks and I2S2R rumor spreading model in heterogeneous network. In the first model, we establish a dynamic model for rumor propagation called I2S2R, in which we consider two general incidence functions. Then the basic reproduction number, the locally stability and the global stability of rumor-free equilibrium are discussed. In the second model, we mainly consider another network structure, i.e. heterogeneous network. Thus, we propose a new dynamic model for rumor spreading. By deriving the mean-field equation, the basic reproduction number is obtained. Moreover, the global stability of rumor-free equilibrium is established by comparison principle. By using a monotone iterative algorithm, the global attractivity of the positive equilibrium is proved. Finally, we obtain some important conclusions with numerical simulations.

Keywords: Rumor spreading; General incidence function; Heterogeneous network; Stability; Homogeneous networks (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (15)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:503:y:2018:i:c:p:862-881

DOI: 10.1016/j.physa.2018.02.087

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