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http://hdl.handle.net/2445/105540
Title: | Replicator dynamics with diffusion on multiplex networks |
Author: | Requejo, Ruben J. Díaz Guilera, Albert |
Keywords: | Xarxes d'ordinadors Teoria de grafs Difusió Computer networks Graph theory Diffusion |
Issue Date: | 1-Aug-2016 |
Publisher: | American Physical Society |
Abstract: | In this study we present an extension of the dynamics of diffusion in multiplex graphs, which makes the equations compatible with the replicator equation with mutations. We derive an exact formula for the diffusion term, which shows that, while diffusion is linear for numbers of agents, it is necessary to account for nonlinear terms when working with fractions of individuals. We also derive the transition probabilities that give rise to such macroscopic behavior, completing the bottom-up description. Finally, it is shown that the usual assumption of constant population sizes induces a hidden selective pressure due to the diffusive dynamics, which favors the increase of fast diffusing strategies. |
Note: | Reproducció del document publicat a: https://doi.org/10.1103/PhysRevE.94.022301 |
It is part of: | Physical Review E, 2016, vol. 94, p. 022301 |
URI: | http://hdl.handle.net/2445/105540 |
Related resource: | https://doi.org/10.1103/PhysRevE.94.022301 |
ISSN: | 1539-3755 |
Appears in Collections: | Articles publicats en revistes (Física de la Matèria Condensada) Publicacions de projectes de recerca finançats per la UE |
Files in This Item:
File | Description | Size | Format | |
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666234.pdf | 310.24 kB | Adobe PDF | View/Open |
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