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Extinction and Coexistence in the Internet Market as Complex Networks

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Complex Sciences (Complex 2009)

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Abstract

A model based on nonautonomous Lotka-Volterra system for web site growth is considered in this paper. Under the conditions that the parameters change with time and the competition conditions are dynamically evaluated, we show that the model exhibits some important characteristics, such as winning alliance and winner-take-all. It is shown that our results are improvement of those of Maurer and Huberman [Journal of Economic Dynamics & Control 27, 2195-2206(2003)], López and Sanjuán [Physica A 301, 512-534(2001)] and López et al. [Physica A 324, 754-758(2003)].

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References

  1. Maurer, S.M., Huberman, B.A.: Competitive dynamics of web sites. Journal of Economic Dynamics & Control 27, 2195–2206 (2003)

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  2. Frank, R.H., Cook, P.J.: The Winner-take-all Society. The Free Press, New York (1995)

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  3. López, L., Sanjuán, M.A.F.: Defining strategies to win in the Internet market. Physica A 301, 512–534 (2001)

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  4. López, L., Almendral, J.A., Sanjuán, M.A.F.: Complex networks and the WWW market. Physica A 324, 754–758 (2003)

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  5. Ahmad, S., Lazer, A.C.: Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system. Nonlinear Anal. 40, 37–49 (2000)

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Author information

Authors and Affiliations

  1. School of Mathematics and Information, Ludong University, Yantai, Shandong, 264025, P.R. China

    Jiandong Zhao

  2. School of Mathematical Sciences, Fudan University, Shanghai, 200433, P.R. China

    Jiandong Zhao & Jiong Ruan

  3. Library, Ludong University, Yantai, Shandong, 264025, P.R. China

    Liping Fu

  4. College of Mathematics, Beihua University, Jilin, Jilin, 132013, P.R. China

    Rongfu Cheng

Authors
  1. Jiandong Zhao
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  2. Liping Fu
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  3. Rongfu Cheng
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  4. Jiong Ruan
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Editor information

Editors and Affiliations

  1. Network Technology Research Centre, Research Techno Plaza, Nanyang Technology University, 4th story X‘Frontiers, Block 50 Nanyang Drive, 637553, Singapore

    Jie Zhou

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© 2009 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering

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Zhao, J., Fu, L., Cheng, R., Ruan, J. (2009). Extinction and Coexistence in the Internet Market as Complex Networks. In: Zhou, J. (eds) Complex Sciences. Complex 2009. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02469-6_33

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  • DOI: https://doi.org/10.1007/978-3-642-02469-6_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02468-9

  • Online ISBN: 978-3-642-02469-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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