Competitive Models Of Internet Market

In this paper, the global behaviors of several competitive models in the internet market are studied on the basis of the theory of differential system modelling and complex networks. By using research methods such as global quantitive analysis, computer simulation and correlation methods of statistical physics, the following works were done:In chapter 3, a competitive model with market segementation in the internet market is established to describe the competitive dynimics of web sites on the WWW market. The global behavior of 3 dementional system in the symmetric condition and 3 dementional system with a strong site and two weak one is analyzed in detailed. The possible equlibriums and stability conditions are obtained and the competition strategy is obtained according to the analysis to provide reference for websites in the market to improve their surviving environmental condition.In chapter 4, by combining the triditional advertising marketing with websites competitive model a competitive model with mixed promotion strategy in the internet market is established to describe the competitive dynimics of web sites on the WWW market in a triditional advertisement environment. The global behavior of duopoly system is analyzed in detailed. The possible equlibriums and stability conditions are obtained and the competition strategy is obtained according to the analysis.In chapter 5, the customers of websites are devided into two categories:users and visitors, a websites competitive model with customers devided into users and visitors is established to describe the competitive dynimics of web sites on the WWW market. The global behavior of duopoly system and n dementional system in the symmetric condition are analyzed in detailed by means of stability analysis. The possible equlibriums and stability conditions are obtained according to the analysis. The complexity of n dementional system with asymmetric parameters is analysized by means of computer simulation.In chapter 6, through the introduction of complex networks theory and methods, evolution models of websites promotion process and websites competitive process are established by means of ZR algorithm. The suitability of website promotion model is verificated by web tracffic statistical data of commerce department websites. The possible equlibriums are obtained by means of mean field method. stability conditions of systems and how network structure can affect the system equilibriums are analysized by means of computer simulation.