Chaotic spreading of epidemics in complex networks of excitable units
We explore the dynamics of an epidemiological disease spreadingwithin a complex network of individuals. The local behavior of the epidemics ismodelled by means of an excitable dynamics, and the individuals are connectedin the network through a weighted small-world wiring. The global behavior ofthe e...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2004-02-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.49 |
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| Summary: | We explore the dynamics of an epidemiological disease spreadingwithin a complex network of individuals. The local behavior of the epidemics ismodelled by means of an excitable dynamics, and the individuals are connectedin the network through a weighted small-world wiring. The global behavior ofthe epidemics can have stationary as well as chaotic states, depending uponthe probability of substituting short-range with long-range interactions. Wedescribe the bifurcation scenario leading to such latter states, and discuss therelevance of the observed chaotic dynamics for the description of the spreadingmechanisms of epidemics inside complex networks. |
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| ISSN: | 1551-0018 |