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

作　　者：李维仙[1] 马丽梅[2] LI Wei-xian;MA Li-mei(Langfang Normal University ,Langfang 065000, China;Hebei Normal University, Shijiazhuang 050024, China)

机构地区：[1]廊坊师范学院,河北廊坊065000 [2]河北师范大学,河北石家庄050024

出　　处：《廊坊师范学院学报（自然科学版）》2018年第1期12-15,共4页Journal of Langfang Normal University(Natural Science Edition)

基　　金：河北省高等教育教学改革研究与实践项目(031041411);廊坊师范学院教学改革重点项目(K2015-10);廊坊师范学院科学研究重点项目(LSLZ201502);河北省科技计划项目(15210707)

摘　　要：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.

关 键 词：ogistic方程 分发模型 数字版权管理 平衡状态 传播速率 

分 类 号：TP309.2[自动化与计算机技术—计算机系统结构]