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The Research On Stability Of Diffusion And Competition Between Online Topics

Author

Listed:
  • YAN-CHAO ZHANG

    (School of Electronics and Information Engineering Department, Beijing Jiaotong University, Beijing 100044, P. R. China;
    Key Laboratory of Communication and Information Systems, Beijing Municipal Commission of Education, Beijing 100044, P. R. China)

  • YUN LIU

    (School of Electronics and Information Engineering Department, Beijing Jiaotong University, Beijing 100044, P. R. China;
    Key Laboratory of Communication and Information Systems, Beijing Municipal Commission of Education, Beijing 100044, P. R. China)

  • FEI DING

    (School of Electronics and Information Engineering Department, Beijing Jiaotong University, Beijing 100044, P. R. China;
    Key Laboratory of Communication and Information Systems, Beijing Municipal Commission of Education, Beijing 100044, P. R. China)

  • XIA-MENG SI

    (School of Electronics and Information Engineering Department, Beijing Jiaotong University, Beijing 100044, P. R. China;
    Key Laboratory of Communication and Information Systems, Beijing Municipal Commission of Education, Beijing 100044, P. R. China)

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.

Suggested Citation

  • Yan-Chao Zhang & Yun Liu & Fei Ding & Xia-Meng Si, 2010. "The Research On Stability Of Diffusion And Competition Between Online Topics," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 21(12), pages 1517-1529.
    • Handle: RePEc:wsi:ijmpcx:v:21:y:2010:i:12:n:s0129183110016019
    DOI: 10.1142/S0129183110016019
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