Chaotic spreading of epidemics in complex networks of excitable units
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Received:
01 February 2004
Accepted:
29 June 2018
Published:
01 March 2004
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MSC :
92D30, 34D20.
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We explore the dynamics of an epidemiological disease spreading
within a complex network of individuals. The local behavior of the epidemics is
modelled by means of an excitable dynamics, and the individuals are connected
in the network through a weighted small-world wiring. The global behavior of
the epidemics can have stationary as well as chaotic states, depending upon
the probability of substituting short-range with long-range interactions. We
describe the bifurcation scenario leading to such latter states, and discuss the
relevance of the observed chaotic dynamics for the description of the spreading
mechanisms of epidemics inside complex networks.
Citation: F. S. Vannucchi, S. Boccaletti. Chaotic spreading of epidemics in complex networks of excitable units[J]. Mathematical Biosciences and Engineering, 2004, 1(1): 49-55. doi: 10.3934/mbe.2004.1.49
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Abstract
We explore the dynamics of an epidemiological disease spreading
within a complex network of individuals. The local behavior of the epidemics is
modelled by means of an excitable dynamics, and the individuals are connected
in the network through a weighted small-world wiring. The global behavior of
the epidemics can have stationary as well as chaotic states, depending upon
the probability of substituting short-range with long-range interactions. We
describe the bifurcation scenario leading to such latter states, and discuss the
relevance of the observed chaotic dynamics for the description of the spreading
mechanisms of epidemics inside complex networks.
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