THE RESEARCH ON STABILITY OF DIFFUSION AND COMPETITION BETWEEN ONLINE TOPICS

Yan-Chao Zhang (), Yun Liu (), Fei Ding () and Xia-Meng Si ()
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Yan-Chao Zhang: School of Electronics and Information Engineering Department, Beijing Jiaotong University, Beijing 100044, P. R. China;
Yun Liu: School of Electronics and Information Engineering Department, Beijing Jiaotong University, Beijing 100044, P. R. China;
Fei Ding: School of Electronics and Information Engineering Department, Beijing Jiaotong University, Beijing 100044, P. R. China;
Xia-Meng Si: School of Electronics and Information Engineering Department, Beijing Jiaotong University, Beijing 100044, P. R. China;

International Journal of Modern Physics C (IJMPC), 2010, vol. 21, issue 12, 1517-1529

Abstract: Online topics are becoming an important form of network information communication, and are playing a significant role in consensus formation. When several online topics are published at the same time, the spread of these topics will affect each other. We propose a model to study the development tendency of relationship between two different online topics. We make use of stability theory of differential equations to analyze the model, utilize the phase trajectory to analyze the stability of the equilibrium point, and finally simulate the model with actual data and varied parameters. Simulation results indicate that the proposed model is useful in understanding and explaining the phenomena presented in the diffusion of online topics, especially the interaction and competition among different topics.

Keywords: Opinion dynamics; online topic; competition; differential equations; phase trajectory; analysis of stability; 02.50.Ey; 87.23.Ge; 89.75.Fb (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1142/S0129183110016019

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