Extinction and Coexistence in the Internet Market as Complex Networks
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)].
KeywordsCompetitive Internet market Complex networks Extinction Coexistence Lotka-Volterra system
PACS02.60.Lj 89.20.Hh 89.75.-k
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