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01-12-2020 | Original Article

Nonlinear dynamic information propagation mathematic modeling and analysis based on microblog social network

Authors: Xiaoyang Liu, Daobing He

Published in: Social Network Analysis and Mining | Issue 1/2020

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Abstract

Based on the complex network theory and topological properties of scale-free network, a new information propagation model (Susceptible Exposed Inactive Infected Recovered, SEIIR) and dynamic evolution equations are proposed based on microblog social network in this paper. Firstly, we analyze the structure of microblog social network through simulating the real microblog social network environment, and the topological properties of the microblog network are researched. Secondly, microblog network structure and topological properties, traditional information propagation models (SIR, SIRS and SEIR) and evolution mechanism are also studied. Dynamic evolution equations of information propagation are constructed in microblog network, and nonlinear dynamic information propagation model is proposed. Effect factors of the information propagation process in microblog network are investigated. Finally, a series of simulation experiments are carried out. Simulation results show that the proposed new SEIIR model and information propagation dynamic evolution equations are reasonable and effective. It reveals the relationship between the state of microblog social network nodes and the evolution public opinion. It accurately depicts the information interaction mechanism and diffusion pattern in online social network. It provides a new scientific method and research approach for the study of social network public opinion evolution and information propagation.

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Literature
go back to reference Abubakre MA, Ravishankar MN, Coombs CR (2015) The role of formal controls in facilitating information system diffusion. Inf Manag 52(5):599–609CrossRef Abubakre MA, Ravishankar MN, Coombs CR (2015) The role of formal controls in facilitating information system diffusion. Inf Manag 52(5):599–609CrossRef
go back to reference Al-Taie MZ, Kadry S (2017) Information diffusion in social networks. Adv Inf Knowl Process 11:165–184CrossRef Al-Taie MZ, Kadry S (2017) Information diffusion in social networks. Adv Inf Knowl Process 11:165–184CrossRef
go back to reference Angstmann CN, Henry BI, Mcgann AV (2016) A Fractional order recovery SIR model from a stochastic process. Bull Math Biol 78(3):468–499MathSciNetCrossRef Angstmann CN, Henry BI, Mcgann AV (2016) A Fractional order recovery SIR model from a stochastic process. Bull Math Biol 78(3):468–499MathSciNetCrossRef
go back to reference Ariful Kabir KM, Kuga K, Tanimoto J (2020) The impact of information spreading on epidemic vaccination game dynamics in a heterogeneous complex network—A theoretical approach. Chaos Solitons Fractals 132:1–12MathSciNetMATH Ariful Kabir KM, Kuga K, Tanimoto J (2020) The impact of information spreading on epidemic vaccination game dynamics in a heterogeneous complex network—A theoretical approach. Chaos Solitons Fractals 132:1–12MathSciNetMATH
go back to reference Arnaboldi V, Conti M, Passarella A, Dunbar RI (2017) Online social networks and information diffusion: the role of ego networks. Online Soc Netw Med 1(6):44–55CrossRef Arnaboldi V, Conti M, Passarella A, Dunbar RI (2017) Online social networks and information diffusion: the role of ego networks. Online Soc Netw Med 1(6):44–55CrossRef
go back to reference Bamakan SMH, Nurgaliev I, Qiang Qu (2019) Opinion leader detection: a methodological review. Expert Syst Appl 115:200–222CrossRef Bamakan SMH, Nurgaliev I, Qiang Qu (2019) Opinion leader detection: a methodological review. Expert Syst Appl 115:200–222CrossRef
go back to reference Cui R, Agrawal G, Ramnath R (2020) Tweets can tell: activity recognition using hybrid gated recurrent neural networks. Soc Netw Anal Min 10(1):1–15CrossRef Cui R, Agrawal G, Ramnath R (2020) Tweets can tell: activity recognition using hybrid gated recurrent neural networks. Soc Netw Anal Min 10(1):1–15CrossRef
go back to reference Dey K, Kaushik S, Subramaniam LV (2017) Literature survey on interplay of topics, information diffusion and connections on social networks. Soc Inf Netw 6:921–957 Dey K, Kaushik S, Subramaniam LV (2017) Literature survey on interplay of topics, information diffusion and connections on social networks. Soc Inf Netw 6:921–957
go back to reference Idrissi N, Zellou A (2020) A systematic literature review of sparsity issues in recommender systems. Soc Netw Anal Min 10(15):1–23 Idrissi N, Zellou A (2020) A systematic literature review of sparsity issues in recommender systems. Soc Netw Anal Min 10(15):1–23
go back to reference Jalali MS, Ashouri A, Herrera-Restrepo O et al (2016) Information diffusion through social networks: the case of an online petition. Expert Syst Appl 44(44):187–197CrossRef Jalali MS, Ashouri A, Herrera-Restrepo O et al (2016) Information diffusion through social networks: the case of an online petition. Expert Syst Appl 44(44):187–197CrossRef
go back to reference Khalifi H, Dahir S, El Qadi A et al (2020) Enhancing information retrieval performance by using social analysis. Soc Netw Anal Min 10(24):1–7 Khalifi H, Dahir S, El Qadi A et al (2020) Enhancing information retrieval performance by using social analysis. Soc Netw Anal Min 10(24):1–7
go back to reference Kim J, Bae J, Hastak M (2018) Emergency information diffusion on online social media during storm Cindy in U.S. Int J Inf Manag 40(5):153–165CrossRef Kim J, Bae J, Hastak M (2018) Emergency information diffusion on online social media during storm Cindy in U.S. Int J Inf Manag 40(5):153–165CrossRef
go back to reference Li C, Kuo T, Ho C et al (2013) Modeling and evaluating information propagation in a microblogging social network. Soc Netw Anal Min 3:341–357CrossRef Li C, Kuo T, Ho C et al (2013) Modeling and evaluating information propagation in a microblogging social network. Soc Netw Anal Min 3:341–357CrossRef
go back to reference Li K, Zhu G, Ma Z, Chen L (2019) Dynamic stability of an SIQS epidemic network and its optimal control. Commun Nonlinear Sci Numer Simul 66(1):84–95MathSciNetCrossRef Li K, Zhu G, Ma Z, Chen L (2019) Dynamic stability of an SIQS epidemic network and its optimal control. Commun Nonlinear Sci Numer Simul 66(1):84–95MathSciNetCrossRef
go back to reference Mahdizadehaghdam S, Wang H, Krim H et al (2016) Information diffusion of topic propagation in social media. IEEE Trans Signal Inf Process Over Netw 2(4):569–581MathSciNet Mahdizadehaghdam S, Wang H, Krim H et al (2016) Information diffusion of topic propagation in social media. IEEE Trans Signal Inf Process Over Netw 2(4):569–581MathSciNet
go back to reference Monajemi S, Sanei S, Ong S-H (2018) Information reliability in complex multitask networks[J]. Future Gener Comput Syst 83(6):485–495CrossRef Monajemi S, Sanei S, Ong S-H (2018) Information reliability in complex multitask networks[J]. Future Gener Comput Syst 83(6):485–495CrossRef
go back to reference Rodrigues HS, Fonseca MJ (2016) Can information be spread as a virus viral marketing as epidemiological model. Math Methods Appl Sci 39(16):4780–4786MathSciNetCrossRef Rodrigues HS, Fonseca MJ (2016) Can information be spread as a virus viral marketing as epidemiological model. Math Methods Appl Sci 39(16):4780–4786MathSciNetCrossRef
go back to reference Saito K, Kimura M, Ohara K, Motoda H (2016) Super mediator—a new centrality measure of node importance for information diffusion over social network. Inf Sci 329(1):985–1000CrossRef Saito K, Kimura M, Ohara K, Motoda H (2016) Super mediator—a new centrality measure of node importance for information diffusion over social network. Inf Sci 329(1):985–1000CrossRef
go back to reference Sattari M, Zamanifar K (2018) A cascade information diffusion based label propagation algorithm for community detection in dynamic social networks. J Comput Sci 25(3):122–133CrossRef Sattari M, Zamanifar K (2018) A cascade information diffusion based label propagation algorithm for community detection in dynamic social networks. J Comput Sci 25(3):122–133CrossRef
go back to reference Stai E, Karyotis V, Bitsaki A-C, Papavassiliou S (2017) Strategy evolution of information diffusion under time-varying user behavior in generalized networks. Comput Commun 100(3):91–103CrossRef Stai E, Karyotis V, Bitsaki A-C, Papavassiliou S (2017) Strategy evolution of information diffusion under time-varying user behavior in generalized networks. Comput Commun 100(3):91–103CrossRef
go back to reference Thiriot S (2018) Word-of-mouth dynamics with information seeking: information is not (only) epidemics. Phys A 492(2):418–430MathSciNetCrossRef Thiriot S (2018) Word-of-mouth dynamics with information seeking: information is not (only) epidemics. Phys A 492(2):418–430MathSciNetCrossRef
go back to reference Urena R, Chiclana F, Melançon G, Herrera-Viedma E (2019) A social network based approach for consensus achievement in multiperson decision making. Inf Fusion 47:72–87CrossRef Urena R, Chiclana F, Melançon G, Herrera-Viedma E (2019) A social network based approach for consensus achievement in multiperson decision making. Inf Fusion 47:72–87CrossRef
go back to reference Vargas R, Garcea F, Mahon BZ, Narayan DA (2016) Refining the clustering coefficient for analysis of social and neural network data. Soc Netw Anal Min 6(1):49–56CrossRef Vargas R, Garcea F, Mahon BZ, Narayan DA (2016) Refining the clustering coefficient for analysis of social and neural network data. Soc Netw Anal Min 6(1):49–56CrossRef
go back to reference Visheratin AA, Trofimenko TB, Mukhina KD, Nasonov D, Boukhanovsky AV (2017) A multi-layer model for diffusion of urgent information in mobile networks. J Comput Sci 20(5):129–142CrossRef Visheratin AA, Trofimenko TB, Mukhina KD, Nasonov D, Boukhanovsky AV (2017) A multi-layer model for diffusion of urgent information in mobile networks. J Comput Sci 20(5):129–142CrossRef
go back to reference Xie Y, Qiao R, Shao G, Chen H (2017) Research on Chinese social media users’ communication behaviors during public emergency events. Telematics Inform 34(2):740–754CrossRef Xie Y, Qiao R, Shao G, Chen H (2017) Research on Chinese social media users’ communication behaviors during public emergency events. Telematics Inform 34(2):740–754CrossRef
go back to reference Yavary A, Sajedi H, Saniee Abadeh M (2020) Information verification in social networks based on user feedback and news agencies. Soc Netw Anal Min 10(2):1–8 Yavary A, Sajedi H, Saniee Abadeh M (2020) Information verification in social networks based on user feedback and news agencies. Soc Netw Anal Min 10(2):1–8
Metadata
Title
Nonlinear dynamic information propagation mathematic modeling and analysis based on microblog social network
Authors
Xiaoyang Liu
Daobing He
Publication date
01-12-2020
Publisher
Springer Vienna
Published in
Social Network Analysis and Mining / Issue 1/2020
Print ISSN: 1869-5450
Electronic ISSN: 1869-5469
DOI
https://doi.org/10.1007/s13278-020-00700-4

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