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控制理论与应用 2005
Qualitative analysis of a model for competitive web sites
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Abstract:
Among the models of describing web sites'competition in the Internet market,three dimensional Lotka-Volterra model is the simplest to account at the same time for weak competition and strong competition.Unexpected strategies for sites to win are defined by numerical integrations in a previous paper.However,these strategies are not proven and not complete.In this paper,a complete analysis of the model is given and the known strategies are proven by the methods of qualitative analysis of differential equations.Furthermore,a series of new and interesting strategies for sites to win are shown.