一类改进的BA模型度分布的普适化解析

摘要

在原来BA模型的基础上,引入了时问概念,将初始节点也考虑在内,改进了原来BA模型的度分布.同时用普适性的解法分析了改进的BA模型度分布的演化,得出该模型的度分布演化方程,反映出度分布的幂律性质,并做出对同一模型作不同时间情形下的数值模拟图和某一特定时刻度分布与归一化度分布的对数关系数值模拟图.通过对这种改进的BA模型度分布进行归一化分析,得出其度分布的幂律性质.%Based on the original model BA, we introduce the concept offime, take into account the initial node, improve the original degree distribution of model BA. We analyze the evolution of degree distribution of the improved model BA by universal method, obtain the evolution equation of degree distribution, make the logarithmic curves of the degree distributions of this model under different time circumstance and the logarithmic curves of the degree distribution and norrealized degree distribution at certain specific time of this model. Through analyzing the normalized degree distribution of the improved model BA, we obtain its power law nature of degree distribution.