The models are as follows: the model of monopolistic-brand diffusion,the model of oligopolistic-brand diffusion,the model of competitive-brand diffusion,and the generalized model of competitive-brand diffusion.

This paper reviews the main research progress on the brand diffusion model based on the Bass model,and divides the brand diffusion model into the brand first purchase model and the brand trial-repeat purchase model according to repeat purchase,and summarizes and compares these two models.

This paper focuses on the stage strategies and divides the whole process of brand development into three stages including brand building,brand expanding,and brand maintaining,and then discusses the strategies for the three stages in details respectively.

By the ways of theory and study methods of economics,the paper studies the reasons and modes of brand expansion of China s sporting goods industry.

Based on the theory of long-term memory, the paper analyses the impact of extensions on parent brand memory structures and concludes that brand extensions can enhance the strength of the memory association.

BASS model is an important method of the application of the product diffusion, and various expanding models have also provided great convenience in today s economic analysis and forecast.

Under the framework of decision theory, this paper presents a multi-stage innovation product diffusion model with the theory of dynamic analysis, which includes the effect of price and advertising.

Considering the factor of price, the paper analyses product sampling level with the theory of innovation product diffusion theory, especially discusses the problem under price strategies of market skimming and market penetration.