Cooperative and Competitive Dynamics Model for Information Propagation in Online Social Networks
Traditional empirical models of propagation consider individual contagion as an independent process, thus spreading in isolation manner. In this paper, we study how different contagions interact with each other as they spread through the network in order to propose an alternative dynamics model for...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/610382 |
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| _version_ | 1832556007491895296 |
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| author | Yaming Zhang Chaosheng Tang Li Weigang |
| author_facet | Yaming Zhang Chaosheng Tang Li Weigang |
| author_sort | Yaming Zhang |
| collection | DOAJ |
| description | Traditional empirical models of propagation consider individual contagion as an independent process, thus spreading in isolation manner. In this paper, we study how different contagions interact with each other as they spread through the network in order to propose an alternative dynamics model for information propagation. The proposed model is a novel combination of Lotka-Volterra cooperative model and competitive model. It is assumed that the interaction of one message on another is flexible instead of always negative. We prove that the impact of competition depends on the critical speed of the messages. By analyzing the differential equations, one or two stable equilibrium points can be found under certain conditions. Simulation results not only show the correctness of our theoretical analyses but also provide a more attractive conclusion. Different types of messages could coexist in the condition of high critical speed and intense competitive environment, or vice versa. The messages will benefit from the high critical speed when they are both competitive, and adopting a Tit-for-Tat strategy is necessary during the process of information propagation. |
| format | Article |
| id | doaj-art-9b66692efb1149bebfd2dabfcab5916f |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-9b66692efb1149bebfd2dabfcab5916f2025-02-03T05:46:35ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/610382610382Cooperative and Competitive Dynamics Model for Information Propagation in Online Social NetworksYaming Zhang0Chaosheng Tang1Li Weigang2School of Economics and Management, Yanshan University, Qinhuangdao 066004, ChinaSchool of Economics and Management, Yanshan University, Qinhuangdao 066004, ChinaDepartment of Computer Science, University of Brasilia, 70910-900 Brasilia, DF, BrazilTraditional empirical models of propagation consider individual contagion as an independent process, thus spreading in isolation manner. In this paper, we study how different contagions interact with each other as they spread through the network in order to propose an alternative dynamics model for information propagation. The proposed model is a novel combination of Lotka-Volterra cooperative model and competitive model. It is assumed that the interaction of one message on another is flexible instead of always negative. We prove that the impact of competition depends on the critical speed of the messages. By analyzing the differential equations, one or two stable equilibrium points can be found under certain conditions. Simulation results not only show the correctness of our theoretical analyses but also provide a more attractive conclusion. Different types of messages could coexist in the condition of high critical speed and intense competitive environment, or vice versa. The messages will benefit from the high critical speed when they are both competitive, and adopting a Tit-for-Tat strategy is necessary during the process of information propagation.http://dx.doi.org/10.1155/2014/610382 |
| spellingShingle | Yaming Zhang Chaosheng Tang Li Weigang Cooperative and Competitive Dynamics Model for Information Propagation in Online Social Networks Journal of Applied Mathematics |
| title | Cooperative and Competitive Dynamics Model for Information Propagation in Online Social Networks |
| title_full | Cooperative and Competitive Dynamics Model for Information Propagation in Online Social Networks |
| title_fullStr | Cooperative and Competitive Dynamics Model for Information Propagation in Online Social Networks |
| title_full_unstemmed | Cooperative and Competitive Dynamics Model for Information Propagation in Online Social Networks |
| title_short | Cooperative and Competitive Dynamics Model for Information Propagation in Online Social Networks |
| title_sort | cooperative and competitive dynamics model for information propagation in online social networks |
| url | http://dx.doi.org/10.1155/2014/610382 |
| work_keys_str_mv | AT yamingzhang cooperativeandcompetitivedynamicsmodelforinformationpropagationinonlinesocialnetworks AT chaoshengtang cooperativeandcompetitivedynamicsmodelforinformationpropagationinonlinesocialnetworks AT liweigang cooperativeandcompetitivedynamicsmodelforinformationpropagationinonlinesocialnetworks |