网站竞争模型的定性分析  

Qualitative analysis of a model for competitive web sites

作　　者：吴红[1] 王远世[1] 

机构地区：[1]中山大学数学与计算科学学院,广东广州510275

出　　处：《控制理论与应用》2005年第2期218-222,228,共6页Control Theory & Applications

基　　金：教育部归国留学人员基金资助项目(04105024);广东省自然科学基金博士科研启动项目资助(04300594).

摘　　要：描述互联网网站竞争系统的模型中,较为典型的是三网站Lotka_Volterra模型.已有文献通过大量的数值计算,发现该模型反映了强者胜弱者、弱者联合可胜强者等有趣的现象.但是,已有文献中的结论来自于大量的数值计算,它们未得到严格的证明,也不够完整.本文用微分方程定性理论的方法,对这类网站竞争模型进行了彻底的分析,不仅严格证明了已有文献中的经验性结论,而且给出了一系列新的网站获胜策略.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.

关 键 词：互联网 强势网站 渐近稳定性 

分 类 号：TP393[自动化与计算机技术—计算机应用技术]