无标度网络上的反常集合种群动力学
Anomalous metapopulation dynamics on scale-free networks
摘要：
我们的模型运输的个人在一个异构的无标度网络中，一些弱连接的节点表现出重尾停留时间。使用经验法则公理的累积惯性和分数分析，我们表明，“异常累积惯性”压倒高度连接的节点在吸引网络的个人。这从根本上挑战了个体倾向于在高阶节点中积累的经典结果。导出的停留时间分布具有非平凡的U形，我们在人类居住和就业时间的经验遇到。
英文摘要：
We model transport of individuals across a heterogeneous scale-free network where a few weakly connected nodes exhibit heavy-tailed residence times. Using the empirical law Axiom of Cumulative Inertia and fractional analysis we show that `anomalous cumulative inertia' overpowers highly connected nodes in attracting network individuals. This fundamentally challenges the classical result that individuals tend to accumulate in high-order nodes. The derived residence time distribution has a non-trivial U-shape which we encounter empirically across human residence and employment times.
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