Ciencia y Tecnologías Físicas >
Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC) >
(IFISC) Artículos >
Open Access item Epidemics and chaotic synchronization in recombining monogamous populations
Zanette, Damián H.
|Keywords:||Self–organization, Network dynamics, Epidemics, Synchronization|
|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|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.