Chaotic spreading of epidemics in complex networks of excitable units

Year: 2004

Authors: Vannucchi F.S., Boccaletti S.

Autors Affiliation: Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Florence, Italy

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.

Journal/Review: MATHEMATICAL BIOSCIENCES AND ENGINEERING

Volume: 1 (1)      Pages from: 49  to: 55

KeyWords: Complex networks; excitable media; chaotic dynamics
DOI: 10.3934/mbe.2004.1.49

Citations: 8
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