Volume 128, Number 6, December 2019
|Number of page(s)||7|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||05 February 2020|
Social reinforcement inducing discontinuous spreading in complex networks
1 College of Computer Science, Sichuan University - Chengdu 610065, China
2 Complex lab, University of Electronic Science and Technology of China - Chengdu 610054, China
3 Cybersecurity Research Institute, Sichuan University - Chengdu 610065, China
Received: 22 June 2019
Accepted: 7 January 2020
Social reinforcement originating from memory is the key characteristic of behavioral adoption in social contagion. Here, we introduce a non-Markovian susceptible-adopted-recovered (SAR) model to incorporate the memory mechanism. The higher the number of accumulated pieces of exposures an individual is exposed to, the larger is the probability that he/she will adopt the behavior. We observed that when the adopting probability per piece of behavioral information was smaller than a critical value, the final adoption size increased with the behavioral information probability discontinuously. Otherwise, the final adoption size increased with the behavioral information probability continuously. A physical understanding of the mechanism inducing discontinuous spreading was obtained through an edge-based compartment method, which also matched well with the simulation results.
PACS: 89.75.Hc – Networks and genealogical trees / 87.19.X- – Diseases / 87.23.Ge – Dynamics of social systems
© EPLA, 2020
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