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arXiv · 1610.02433

Anomalous metapopulation dynamics on scale-free networks

Sergei Fedotov·Helena Stage
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Abstract

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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physics.soc-phcond-mat.dis-nncond-mat.softcond-mat.stat-mechphysics.data-an

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Sergei Fedotov, Helena Stage. 2017-02-09. Anomalous metapopulation dynamics on scale-free networks. https://doi.org/10.1103/physrevlett.118.098301

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