| 摘要: |
为研究共存性商品的市场扩散规律,分析共存性商品的扩散规律和扩散机理,根据共存性商品之间存在的关系,运用微分方程的理论和方法,建立共存性商品的市场扩散的数学模型
ẋ1(t)=(K1-x1(t))(a1+b1x1(t))和ẋ2(t)=(K2-x2(t))(a2+b2x2(t)).实证分析表明,建立的市场扩散数学模型可用来预测共存性商品的市场扩散趋势. |
| 关键词: 商品市场 扩散 数学模型 共存性 平衡点 |
| DOI： |
| 投稿时间：2005-04-18 |
| 基金项目:玉林师范学院科研项目(05YBSJ55)资助。 |
|
| Mathematical Models and Diffusion Principle of Marketing Diffusion of Co-existing Production |
|
Ling Zhengqiu
|
| (Department of Mathematics and Computer Science, Yulin Teachers' College, Yulin, Guangxi, 537000, China) |
| Abstract: |
The mathematical model for marketing diffusion of co-existing production was introduced by using the theory and methods of differential equation
ẋ1(t)=(K1-x1(t))(a1+b1x1(t)) and ẋ2(t)=(K2-x2(t))(a2+b2x2(t)).
Their diffusion regularity and principle were further studied. |
| Key words: marketing diffusion mathematical model co-existing equilibrium point |
