基于Logistic增长的数字作品分发模型研究

The Research of Digital Works Distribution Model Based on Logistic Growth

建立一种基于Logistic增长的数字作品分发模型,引入扩展速度r作为logistic方程的比例系数,用来描述数字作品的网络传播速率。用logistic曲线分别模拟数字作品在不同数字版权管理模式下的网络传播过程,研究其对稳定条件、平衡状态和传播速率的影响。对比传统式和开放式数字版权管理模式发现,后者把数字作品分发上限提高至K+σK/Hλ,并且对于任意时间点t_x,累计分发量都大于前者;同时,通过调节传播速率r和影响因子σ、λ、H,能够对数字作品传播情况的预测和控制作深入研究。

This paper builds a distribution model of digital works based on logistic growth and uses the expansion speed r as the ratio coefficient of logistic equation to describe the distribution rate of digital works in the network.Logistic curves were used to simulate the network transmission process of digital works under different digital rights management modes,and their effects on stability,equilibrium state and transmission rate were researched.Comparing the traditional digital rights management model with the open digital rights management models,the latter increases the upper bound of the digital works distribution to K+σK/Hλ,and for any moment tx,the accumulated distribution number of the latter is greater than the former.At the same time,it is possible to make a deeper research on the prediction and control of the distribution of digital works by adjusting the expansion rate r and the impact factorsσ,λand H.