Anomalous metapopulation dynamics on scale-free networks
Physics and Society
2017-03-08 v3 Disordered Systems and Neural Networks
Soft Condensed Matter
Statistical Mechanics
Data Analysis, Statistics and Probability
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.
Cite
@article{arxiv.1610.02433,
title = {Anomalous metapopulation dynamics on scale-free networks},
author = {Sergei Fedotov and Helena Stage},
journal= {arXiv preprint arXiv:1610.02433},
year = {2017}
}
Comments
Clarification added to the discussion of theory and data. More explanations included for better reading