Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/105540
Title: Replicator dynamics with diffusion on multiplex networks
Author: Requejo, R. 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
Related resource: https://doi.org/10.1103/PhysRevE.94.022301
URI: http://hdl.handle.net/2445/105540
ISSN: 1539-3755
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

Files in This Item:
File Description SizeFormat 
666234.pdf310.24 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.