Effects of heterogeneous adoption thresholds on contact-limited social contagions

作     者：赵丹丹 彭王鑫 彭浩 王伟 Dan-Dan Zhao;Wang-Xin Peng;Hao Peng;Wei Wang

作者机构：College of Mathematics and Computer ScienceZhejiang Normal UniversityJinhua 321004China College of InformationZhejiang Guangsha Vocational and Technical University of ConstructionDongyang 322100China Shanghai Key Laboratory of Integrated Administration Technologies for Information SecurityShanghai 200240China School of Public Health and ManagementChongqing Medical UniversityChongqing 400016China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2022年第31卷第6期

页      面：790-800页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 0702[理学-物理学] 

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.62072412,61902359,61672467,and 61672468) the Social Development Project of Zhejiang Provincial Public Technology Research(Grant No.2016C33168) Zhejiang Provincial Natural Science Foundation of China(Grant No.LQ19F030010) the Opening Project of Shanghai Key Laboratory of Integrated Administration Technologies for Information Security(Grant No.AGK2018001) 

主　　题：social contagions threshold distribution heterogeneous adoption thresholds limited contact 

摘      要：Limited contact capacity and heterogeneous adoption thresholds have been proven to be two essential characteristics of individuals in natural complex social systems,and their impacts on social contagions exhibit complex *** this in mind,a heterogeneous contact-limited threshold model is proposed,which adopts one of four threshold distributions,namely Gaussian distribution,log-normal distribution,exponential distribution and power-law *** heterogeneous edge-based compartmental theory is developed for theoretical analysis,and the calculation methods of the final adoption size and outbreak threshold are given *** numerical simulations are performed on the Erdös-Renyi and scale-free networks to study the impact of different forms of the threshold distribution on hierarchical spreading´process,the final adoption size,the outbreak threshold and the phase transition in contact-limited propagation *** find that the spreading process of social contagions is divided into three distinct ***,different threshold distributions cause different spreading processes,especially for some threshold distributions,there is a change from a discontinuous first-order phase transition to a continuous second-order phase ***,we find that changing the standard deviation of different threshold distributions will cause the final adoption size and outbreak threshold to change,and finally tend to be stable with the increase of standard deviation.