BA演化模型的一种扩展  

Expanding model based on BA model

作　　者：秦琼[1] 刘海英[1] 王志平[1] 

机构地区：[1]大连海事大学数学系,辽宁大连116026

出　　处：《大连海事大学学报》2006年第4期121-124,共4页Journal of Dalian Maritime University

基　　金：国家自然科学基金重点项目(70431001);博士后基金项目(2004036391)

摘　　要：提出了BA模型的一个扩展模型.仿照Logistic模型,对BA模型的优先选择概率进行改进,利用连续理论和比率方程分析扩展模型的度演化及其度分布.解析结果表明在一定的条件下,扩展模型与BA模型是等价的.并且利用Matlab对扩展模型进行了模拟仿真,试验结果表明,其度的时间演化在某些条件限制下发生了改变并且其度分布不再是幂率分布而是在双对数坐标平面上是弯曲的.This paper provided a kind of expanding model based on BA model. Imitating logistic model, the preferential attachment of BA model was improved. Then using continuum theory and rate equation method we got the analytical expressions of the time-evolution of the degree and degree distribution. It is obvious that the BA model is the same as our model in many conditions. In addition, the simulating result shows that the time-evolution of the degree changed and the degree distribution of our model do not follow powerlaw distribution. As a result, the analytical predictions are in good agreement with the numerical results.

关 键 词：无标度网络 BA模型 度分布 幂率分布 

分 类 号：O157.6[理学—数学]