Complex contagions with social reinforcement from different layers and neighbors

Ling-Jiao Chen, Xiao-Long Chen, Meng Cai and Wei Wang

Physica A: Statistical Mechanics and its Applications, 2018, vol. 503, issue C, 516-525

Abstract: Researches about complex contagions on complex networks always neglect the reinforcement effect from different layers and neighbors simultaneously. In this paper we propose a non-Markovian model to describe complex contagions in which a susceptible node becoming adopted must take the social reinforcement from different layers and neighbors into consideration. Through extensive numerical simulations we find that the final adoption size will increase sharply with the information transmission probability at a large adoption threshold. In addition, for small values of adoption threshold, a few seeds could trigger a global contagion. However, there is a critical seed size below which the global contagion becomes impossible for large values of adoption threshold. Besides that, we develop an edge-based compartmental (EBC) theory to describe the proposed model, and it agrees well with numerical simulations.

Keywords: Complex networks; Spreading dynamics; Complex contagions (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:503:y:2018:i:c:p:516-525

DOI: 10.1016/j.physa.2018.03.017

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