Lotka-Volterra系统下知识创新扩散模型及仿真研究

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为探讨知识创新的扩散机理,在Lotka-Volterra模型的基础上建立了知识创新扩散模型,分别探讨了竞争系数、扩散速度、初始状态等因素对扩散过程的影响作用。数理建模与仿真实验表明:知识创新扩散过程与竞争系数、扩散速度、初始状态等紧密相关,其中竞争系数直接影响知识创新扩散的最终均衡状态,扩散拐点与竞争系数、扩散速度和初始状态都相关,由此,提出了建立用户参与创新机制、多源扩散机制等,以推动知识创新的快速扩散和尽快达到扩散均衡。 In order to explore the diffusion mechanism of knowledge innovation, a diffusion model of knowledge innovation was established based on Lotka-Volterra model, and the influence of factors such as competition coefficient, diffusion speed and initial state on the diffusion process was discussed respectively. Mathematical modeling and simulation experiments show that the process of knowledge innovation diffusion is closely related to the competition coefficient, diffusion speed and initial state. The competition coefficient directly affects the final equilibrium of knowledge innovation diffusion, the diffusion inflection point and competition coefficient, the diffusion speed and the initial state Therefore, it is proposed to set up a user participation innovation mechanism and multi-source diffusion mechanism in order to promote the rapid diffusion of knowledge innovation and achieve the diffusion equilibrium as soon as possible.
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