为促进区域间高技术产业协同发展持续稳定，本文基于改进Lotka－Volterra模型来研究区域间高技术产业协同发展关系的稳定性条件，并以长株潭区域间高技术产业协同发展为案例进行分析。研究表明：区域间高技术产业协同发展系统存在不稳定、鞍点均衡、长期稳定等多种状态；区域间协同影响系数的乘积小于1，是高技术产业协同发展系统稳定的关键条件。政府部门应针对区域间高技术产业协同发展关系稳定性的不同状态，发挥区域不同优势，制定差异化政策，优化区域间高技术产业专业化分工，为协同发展关系维持稳定，甚至向更高层次演化提供重要指引。

In order to promote the sustainable and stable synergetic development of high-tech industries among regions, this paper studies the stability conditions of the synergetic development relationship of high-tech industries among regions based on the improved Lotka-Volterra model, and takes the synergetic development of high-tech industries among regions of Changsha, Zhuzhou and Xiangtan as an example. The research shows that there are many states in the synergetic development system of regional high-tech industries, such as instability, saddle point equilibrium, long-term stability and so on. The product of interregional synergy influence coefficient is less than 1, which is the key condition for the stability of high-tech industry synergy development system. Government departments should give full play to the different advantages of different regions, formulate differentiation policies, optimize the specialized division of labor of high-tech industries among regions, and provide important guidance for the stability of synergetic development relations and even the evolution to a higher level.

F124.3；F207；F224；G301?????

国家自然科学基金应急项目“一体化应急应战体系建设及能力提升策略研究”(71841051)