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Open Access item Epidemics and chaotic synchronization in recombining monogamous populations

Authors:Vázquez, Federico
Zanette, Damián H.
Keywords:Self–organization, Network dynamics, Epidemics, Synchronization
Issue Date:Oct-2010
Citation:Physica D: Nonlinear Phenomena 239(19): 1922–1928 (2010)
Abstract:We analyze the critical transitions (a) to endemic states in an SIS epidemiological model, and (b) to full synchronization in an ensemble of coupled chaotic maps, on networks where, at any given time, each node is connected to just one neighbour. In these “monogamous” populations, the lack of connectivity in the instantaneous in- teraction pattern –that would prevent both the propagation of an infection and the collective entrainment into synchronization– is compensated by occasional random reconnections which recombine interacting couples by exchanging their partners. The transitions to endemic states and to synchronization are recovered if the re- combination rate is sufficiently large, thus giving rise to a bifurcation as this rate varies. We study this new critical phenomenon both analytically and numerically.
Description:18 pages, 4 figures.
Publisher version (URL):http://dx.doi.org/10.1016/j.physd.2010.07.001
Appears in Collections:(IFISC) Artículos

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