针对知识老化与增长的关系及老化与知识产生的时间的关系问题,构建了知识的演化网络模型,提出了知识老化曲线形成的一种客观性的新解释.演化模型通过在无标度演化网络的基础上引入知识节点的logistic增长,对演化网络的拓扑结构和节点的历时被连接数进行了数理分析和仿真实验.模型揭示了知识产生的时点与知识增长老化之间的关系:在所属学科的扩展期产生的知识节点历时被连接数先上升后下降,而在衰退期产生的节点的历时被连接数一直是衰减的;知识的利用效率随其所属知识领域的扩张而增加,随衰退而减少.%For analysis of the relation between growth and obsolescence, and the impact of occurrence time of knowledge upon obsolescence, we constructed an evolution network model which proposed a new objective explanation of the obsolescent curve of knowledge. By introducing logistic growth of knowledge to the scale-free networks, the model had done statistic and simulation to the topology and diachronic citation. Relation between ohsolescence and the occurrence time of knowledge had heen reveal, diachronic citation of knowledge vertex produced in the expansion period of first raised up and then gone down; The utilization of knowledge increased and decreased by the expansion and decline of its belonging subject.
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