中文摘要：

借用生物学中著名的Lotka—Volterra模型对具有相互影响关系的创新扩散问题进行了深入分析。研究表明，在创新扩散过程中存在三种作用模式：竞争模式，两类创新相互抑制；互利共存模式，两类创新相互促进；捕食模式，一类创新的存在促进另一类创新的发展，而同时后者又抑制前者的发展，反之亦然。由于创新的性能、价格等影响市场竞争的因素随时间而变化，两类创新之间的作用模式也会随之在这三种模式之间相互转化。

英文摘要：

In this paper, we use classical Lotka-Voherra model from biology to thoroughly study the diffusion modes of innovations which interact with each other. The results argue that there are three modes in innovations diffusion： Competitive mode, that is, where each innovation exerts a negative influence on the other＇s growth; Symbiosis mode, where two innovations have positive reciprocal effects on one another＇s growth rate; and Predator-prey mode, in this case one innovation will benefit from the presence of the other innovation but the latter exerts a negative influence on the former＇s growth rate, vice versa. When some marketing factors change with time, we also figure that these modes will transform between them.