Extinction and Coexistence in the Internet Market as Complex Networks

Jiandong Zhao; Liping Fu; Rongfu Cheng; Jiong Ruan

Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009, Revised Papers, Part 2

Research Article

Extinction and Coexistence in the Internet Market as Complex Networks

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@INPROCEEDINGS{10.1007/978-3-642-02469-6_33,
    author={Jiandong Zhao and Liping Fu and Rongfu Cheng and Jiong Ruan},
    title={Extinction and Coexistence in the Internet Market as Complex Networks},
    proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009, Revised Papers, Part 2},
    proceedings_a={COMPLEX PART 2},
    year={2012},
    month={5},
    keywords={Competitive Internet market Complex networks Extinction Coexistence Lotka-Volterra system},
    doi={10.1007/978-3-642-02469-6_33}
}

Jiandong Zhao
Liping Fu
Rongfu Cheng
Jiong Ruan
Year: 2012
Extinction and Coexistence in the Internet Market as Complex Networks
COMPLEX PART 2
Springer
DOI: 10.1007/978-3-642-02469-6_33

Jiandong Zhao^,*, Liping Fu¹, Rongfu Cheng², Jiong Ruan³

1: Ludong University, Yantai
2: Beihua University, Jilin
3: Fudan University

*Contact email: jdzhao@ustc.edu

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)].

Keywords: Competitive Internet market Complex networks Extinction Coexistence Lotka-Volterra system

Published: 2012-05-11

: http://dx.doi.org/10.1007/978-3-642-02469-6_33