中文摘要：

借用生物数学中的Lotka-Volterra模型,探讨研发资源配置竞争下产学研合作与企业内部研发关系。结果表明：1企业内部研发和产学研合作之间的替代或互补关系受到不同模式最大创新收益及模式间竞争强度的影响;2一种研发模式要想在竞争中战胜另一种研发模式,以绝对优势胜出,需具备初期创新收益高的优势;3有限研发资源约束下企业内部研发与产学研合作的替代互补关系并不稳定,开放式研发资源系统有利于二者互补关系的稳定;4竞争强度降低可促使企业内部研发和产学研合作经过动态转换后保持互补关系,但创新收益会随着竞争强度不同而改变。

英文摘要：

Abstract：Using Lotka-Voherra model from biomathematics, this paper studied the relationship between industry-universi- ty cooperation and enterprise internal R~D under the competition of R~D resources allocation. The results show that： （1） the substitutive or complementary relationship between enterprise internal R~D and industry-university cooperation is influenced by the maximum innovative returns of different modes and the intensity of competition; （2） in order to win with absolute advantage in the competition, one R＆D mode needs higher initial innovative returns than another one; （3） substitutive or complementary relationship between enterprise internal R＆D and industry-university cooperation is unstable under the R＆D resources constraints, while open R＆D resources system does make sense for a stable complementary re- lationship between the two; （4） reducing the intensity of competition can promote to maintain a complementary relationship between enterprise internal R＆D and industry-university cooperation after dynamic translation, and the innovative return,; will change with different intensity of comnetition.