Effects of heterogeneous adoption thresholds on contact-limited social contagions

doi:10.1088/1674-1056/ac4e04

中国物理B ›› 2022, Vol. 31 ›› Issue (6): 68906-068906.doi: 10.1088/1674-1056/ac4e04

• • 上一篇

Effects of heterogeneous adoption thresholds on contact-limited social contagions

Dan-Dan Zhao(赵丹丹)¹, Wang-Xin Peng(彭王鑫)², Hao Peng(彭浩)^1,3, and Wei Wang(王伟)^4,†

1 College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China;
2 College of Information, Zhejiang Guangsha Vocational and Technical University of Construction, Dongyang 322100, China;
3 Shanghai Key Laboratory of Integrated Administration Technologies for Information Security, Shanghai 200240, China;
4 School of Public Health and Management, Chongqing Medical University, Chongqing 400016, China

收稿日期:2021-10-06 修回日期:2021-12-29 接受日期:2022-01-24 出版日期:2022-05-17 发布日期:2022-05-17
通讯作者: Wei Wang E-mail:wwzqbc@cqmu.edu.cn,wwzqbx@hotmail.com
基金资助:
Project 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), and the Opening Project of Shanghai Key Laboratory of Integrated Administration Technologies for Information Security (Grant No. AGK2018001).

Effects of heterogeneous adoption thresholds on contact-limited social contagions

Dan-Dan Zhao(赵丹丹)¹, Wang-Xin Peng(彭王鑫)², Hao Peng(彭浩)^1,3, and Wei Wang(王伟)^4,†

1 College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China;
2 College of Information, Zhejiang Guangsha Vocational and Technical University of Construction, Dongyang 322100, China;
3 Shanghai Key Laboratory of Integrated Administration Technologies for Information Security, Shanghai 200240, China;
4 School of Public Health and Management, Chongqing Medical University, Chongqing 400016, China

Received:2021-10-06 Revised:2021-12-29 Accepted:2022-01-24 Online:2022-05-17 Published:2022-05-17
Contact: Wei Wang E-mail:wwzqbc@cqmu.edu.cn,wwzqbx@hotmail.com
Supported by:
Project 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), and the Opening Project of Shanghai Key Laboratory of Integrated Administration Technologies for Information Security (Grant No. AGK2018001).

摘要/Abstract

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 nature. With 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 distribution. The heterogeneous edge-based compartmental theory is developed for theoretical analysis, and the calculation methods of the final adoption size and outbreak threshold are given theoretically. Many numerical simulations are performed on the Erdös-Rényi 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 networks. We find that the spreading process of social contagions is divided into three distinct stages. Moreover, 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 transition. Further, 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.

关键词: social contagions, threshold distribution, heterogeneous adoption thresholds, limited contact

Abstract: 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 nature. With 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 distribution. The heterogeneous edge-based compartmental theory is developed for theoretical analysis, and the calculation methods of the final adoption size and outbreak threshold are given theoretically. Many numerical simulations are performed on the Erdös-Rényi 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 networks. We find that the spreading process of social contagions is divided into three distinct stages. Moreover, 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 transition. Further, 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.

Key words: social contagions, threshold distribution, heterogeneous adoption thresholds, limited contact

中图分类号: (Networks and genealogical trees)

89.75.Hc

87.19.X- (Diseases) 87.23.Ge (Dynamics of social systems)

Dan-Dan Zhao(赵丹丹), Wang-Xin Peng(彭王鑫), Hao Peng(彭浩), and Wei Wang(王伟). Effects of heterogeneous adoption thresholds on contact-limited social contagions[J]. 中国物理B, 2022, 31(6): 68906-068906.

Dan-Dan Zhao(赵丹丹), Wang-Xin Peng(彭王鑫), Hao Peng(彭浩), and Wei Wang(王伟). Effects of heterogeneous adoption thresholds on contact-limited social contagions[J]. Chin. Phys. B, 2022, 31(6): 68906-068906.

参考文献

[1] Jeong H M, Mason S P, Barabási A and Oltvai Z N 2001 Nature 411 41
[2] Dunne J A, Williams R J and Martinez N D 2002 Proc. Natl. Acad. Sci. USA 99 12917
[3] Motter A E, Myers S A, Anghel M and Nishikawa T 2013 Nat. Phys. 9 191
[4] Faloutsos M, Faloutsos P and Faloutsos C 1999 ACM SIGCOMM Comput. Commun. Rev. 29 251
[5] Ebel H, Mielsch L I and Bornholdt S 2002 Phys. Rev. E 66 035103
[6] Serrano M A and Bogu ná M 2003 Phys. Rev. E 68 015101
[7] Yang Y Z, Hu M and Huang T Y 2020 Chin. Phys. B 29 088903
[8] Wang W, Li W Y, Lin T, Wu T, Pan L M and Liu Y B 2021 Appl. Math. Comput. 126793 (In Press)
[9] Pan L M, Wang W, Tian L and Lai Y C 2021 Phys. Rev. E 103 012302
[10] Watts D J and Strogatz S H 1998 Nature 393 440
[11] Albert R and Barabási A L 2002 Rev. Mod. Phys. 74 47
[12] Newman M E J 2003 SIAM Rev. 45 167
[13] Boccaletti S, Bianconi G, Criado R, del Genio C I, Gómez-Gardeñes J, Romance M, Sendiña-Nadal I, Wang Z and Zanin M 2014 Phys. Rep. 544 1
[14] Hawoong Jeong R A and Barabási A 2000 Nature 406 378
[15] Callaway D S, Newman M E J, Strogatz S H and Watts D J 2000 Phys. Rev. Lett. 85 5468
[16] Cohen R, Erez K, ben-Avraham D and Havlin S 2000 Phys. Rev. Lett. 85 4626
[17] Song C, Havlin S and Makse H A 2005 Nature 433 392
[18] Arenas A, Diaz-Guilera A, Kurths J, Moreno Y and Zhou C 2008 Phys. Rep. 469 93
[19] Radicchi F 2015 Nat. Phys. 11 597
[20] Li D Q, Fu B W, Wang Y P, Lu G Q, Berezin Y, Stanley H E and Havlin S 2015 Proc. Natl. Acad. Sci. USA 112 669
[21] Zhang M, Wang X J, Jin L, Song M and Liao Z H 2020 Chin. Phys. B 29 096401
[22] Liu J 2021 Chin. Phys. B 30 016401
[23] Li W Y, Xue X, Pan L M, Lin T and Wang W 2022 Appl. Math. Comput. 412 126595
[24] Saumell-Mendiola A, Serrano M A and Boguná M 2012 Phys. Rev. E 86 026106
[25] Sun Y, Liu C, Zhang C X and Zhang Z K 2014 Phys. Lett. A 378 635
[26] Gosak M, Duh M, Markovi R and Perc M 2021 New J. Phys. 23 043039
[27] Brett T, Loukas G, Moreno Y and Perra N 2019 Phys. Rev. E 99 050303
[28] Okamoto T and Ishida Y 2002 Syst. Comput. Jpn. 33 81
[29] Feng Y, Ding L, Huang Y H and Guan Z H 2016 Chin. Phys. B 25 128903
[30] Lu Y L, Jiang G P and Song Y R 2012 Chin. Phys. B 21 100207
[31] Zan Y 2018 Chaos, Solitons & Fractals 110 191
[32] Cheng Y, Huo L and Zhao L 2021 Inf. Sci. 564 237
[33] Liu W, Wu X, Yang W, Zhu X and Zhong S 2019 Appl. Math. Comput. 343 214
[34] Chen N, Zhu X and Chen Y 2019 Physica A 523 671
[35] Zhang Y, Su Y, Li W and Liu H 2019 Chaos, Solitons & Fractals 121 168
[36] Gao X and Tian L 2019 Physica A 514 226
[37] Karsai M, Iniguez G, Kaski K and Kertesz J 2014 J. R. Soc. Interface 11 20140694
[38] Ma Y, Xue X, Cai M and Wang W 2020 Chin. Phys. B 29 128902
[39] Zhan X X, Liu C, Zhou G, Zhang Z K, Sun G Q, Zhu J and Jin Z 2018 Appl. Math. Comput. 332 437
[40] Guo H, Wang Z, Sun S and Xia C 2021 Phys. Lett. A 398 127282
[41] Zhu L, Liu W and Zhang Z 2021 Math. Comput. Simul. 188 268
[42] Wang W, Liu Q H, Liang J, Hu Y and Zhou T 2019 Phys. Rep. 820 1
[43] Peng X L and Zhang Y D 2021 Chin. Phys. B 30 058901
[44] Granovetter M S 1973 Am. J. Sociol. 78 1360
[45] Watts D J 2002 Proc. Natl. Acad. Sci. USA 99 5766
[46] Wang W, Tang M, Zhang H F and Lai Y C 2015 Phys. Rev. E 92 012820
[47] Wang W, Tang M, Shu P and Wang Z 2016 New J. Phys. 18 013029
[48] Wang X, Lan Y and Xiao J 2019 Physica A 531 121721
[49] Backlund V P, Saramaki J and Pan R K 2014 Phys. Rev. E 89 062815
[50] Unicomb S, I niguez G and Karsai M 2018 Sci. Rep. 8 3094
[51] Han L L, Lin Z H, Tang M, Zhou J, Zou Y and Guan S G 2020 Phys. Rev. E 101 042308
[52] Zhu X, Tian H, Chen X, Wang W and Cai S 2018 New J. Phys. 20 125002
[53] Karampourniotis P D, Sameet S, Szymanski B K, Gyorgy K and Adriana B L 2015 PLoS One 10 e0143020
[54] Peng H, Peng W X, Zhao D D and Wang W 2020 Appl. Math. Comput. 386 125504
[55] Ren J, Yang Q, Zhu Y, Zhu X and Cai S 2020 IEEE Acc. 8 61905
[56] Bao P, Shen H W and Cheng X Q 2013 PlOS one 8 e76027
[57] Yang Z, Cui A X and Zhou T 2011 Physica A 390 4543
[58] Chatterjee S and Durrett R 2009 Ann. Probab. 37 2332
[59] Xiong F, Zheng Y, Wang H, Wang X and Chen H 2021 Future Generation Computer Systems 114 307
[60] Jiang J and Zhou T 2018 Physica A 508 414
[61] Tian G and Wang Z C 2020 Appl. Math. Lett. 102 106121
[62] Wang W, Shu P P, Zhu Y X, Tang M and Zhang Y C 2015 Chaos 25 103102
[63] Zhu Y X, Cao Y Y, Chen T, Qiu X Y, Wang W and Hou R 2018 Chaos Solitons & Fractals 114 408
[64] Karrer B and Newman M E J 2010 Phys. Rev. E 82 016101
[65] Karrer B, Newman M E J and Zdeborová L 2014 Phys. Rev. Lett. 113 208702
[66] Erdös P and Rényi A 1959 Publ. Math. Debrecen 6 290
[67] Catanzaro M, Bogu ná M and Pastor-Satorras R 2005 Phys. Rev. E 71 027103
[68] Lou J 2007 Ecology 88 2427
[69] Chen W, Schroder M, D'Souza R M, Sornette D and Nagler J 2014 Phys. Rev. Lett. 112 155701

Effects of heterogeneous adoption thresholds on contact-limited social contagions

Effects of heterogeneous adoption thresholds on contact-limited social contagions

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Fuzhong Nian(年福忠) and Xia Zhang(张霞). Topological phase transition in network spreading[J]. 中国物理B, 2023, 32(3): 38901-038901.
[2]	Yijun Ran(冉义军), Tianyu Liu(刘天宇), Tao Jia(贾韬), and Xiao-Ke Xu(许小可). A novel similarity measure for mining missing links in long-path networks[J]. 中国物理B, 2022, 31(6): 68902-068902.
[3]	Dong-Jie Qian(钱冬杰). Explosive synchronization in a mobile network in the presence of a positive feedback mechanism[J]. 中国物理B, 2022, 31(1): 10503-010503.
[4]	Yu-Wei Yan(严玉为), Yuan Jiang(蒋沅), Rong-Bin Yu(余荣斌), Song-Qing Yang(杨松青), and Cheng Hong(洪成). Cascading failures of overload behaviors using a new coupled network model between edges[J]. 中国物理B, 2022, 31(1): 18901-018901.
[5]	Fuzhong Nian(年福忠), Jingzhou Li(李经洲), and Xin Guo(郭鑫). Evolution mechanism of Weibo top news competition[J]. 中国物理B, 2021, 30(12): 128901-128901.
[6]	Dongli Duan(段东立), Tao Chai(柴涛), Xixi Wu(武茜茜), Chengxing Wu(吴成星), Shubin Si(司书宾), and Genqing Bian(边根庆). Identification of unstable individuals in dynamic networks[J]. 中国物理B, 2021, 30(9): 90501-090501.
[7]	Tong-Feng Weng(翁同峰), Xin-Xin Cao(曹欣欣), and Hui-Jie Yang(杨会杰). Complex network perspective on modelling chaotic systems via machine learning[J]. 中国物理B, 2021, 30(6): 60506-060506.
[8]	Zi-Wei Yuan(袁紫薇), Chang-Chun Lv(吕长春), Shu-Bin Si(司书宾), and Dong-Li Duan(段东立). Dynamical robustness of networks based on betweenness against multi-node attack[J]. 中国物理B, 2021, 30(5): 50501-050501.
[9]	Xiao-Long Peng(彭小龙) and Yi-Dan Zhang(张译丹). Contagion dynamics on adaptive multiplex networks with awareness-dependent rewiring[J]. 中国物理B, 2021, 30(5): 58901-058901.
[10]	. [J]. 中国物理B, 2021, 30(4): 48901-.
[11]	. [J]. 中国物理B, 2020, 29(12): 128901-.
[12]	. [J]. 中国物理B, 2020, 29(12): 128902-.
[13]	苏桂锋, 李晓温, 张小兵, 张一. Finite density scaling laws of condensation phase transition in zero-range processes on scale-free networks[J]. 中国物理B, 2020, 29(8): 88904-088904.
[14]	闫小丽, 崔亚鹏, 倪顺江. Identifying influential spreaders in complex networks based on entropy weight method and gravity law[J]. 中国物理B, 2020, 29(4): 48902-048902.
[15]	凌翔, 王晓坤, 陈俊杰, 刘冬, 朱孔金, 郭宁. Major impact of queue-rule choice on the performance of dynamic networks with limited buffer size[J]. 中国物理B, 2020, 29(1): 18901-018901.