(1) Diffusion process of the new clothing products was mathematically analysed, in the case that the new products are abandoned successively.
In order to simplify analysis, five models were settled in connection with the manner in which the new products were abandoned.
(2) Equations expressing N (t) /M, F (t) /M and G (t) /M were derived in the five models respectively. Here N (t) /M shows the value of diffusion rate at time t. F (t) /M and G (t) /M are the relative values of the number of people who have bought and abandoned the new products in unit time at timet.
Shape of N (t) /M, F (t) /M and G (t) /M curves varies by the values of coefficient α, β, q and r. Here α and β are the coefficients related to the probability with which the people buy or abandone the product in unit time at time t. The symbol q shows the time when the abandonment of the products occurs, and r shows the possessing period of the product.
By means of analysing these equations, we can understand the characteristics of the diffusion processes of the new products.
(3) Model A and B are the cases in that the people who have abandoned the products are expected to buy again them. In these models the value of N (t) /M converges to a certain value after long period. Necessaries of life are the products of these models.
Model C, D and E are the cases in that the people who have abandoned the products will never buy them again.In these models, N (t) /M forms a hill-shaped curve and its value reaches to zero after some period. Fashion clothings are the products of these models.
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