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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| Language: | English |
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AIMS Press
2004-02-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.49 |
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| author | F. S. Vannucchi S. Boccaletti |
| author_facet | F. S. Vannucchi S. Boccaletti |
| author_sort | F. S. Vannucchi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d54d4f88054e48cb93435607dde58a48 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2004-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-d54d4f88054e48cb93435607dde58a482025-01-24T01:46:28ZengAIMS PressMathematical Biosciences and Engineering1551-00182004-02-0111495510.3934/mbe.2004.1.49Chaotic spreading of epidemics in complex networks of excitable unitsF. S. Vannucchi0S. Boccaletti1Istituto Nazionale di Ottica Applicata, Largo E. Fermi, 6, 50125 FlorenceIstituto Nazionale di Ottica Applicata, Largo E. Fermi, 6, 50125 FlorenceWe 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.https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.49excitable mediacomplex networkschaotic dynamics. |
| spellingShingle | F. S. Vannucchi S. Boccaletti Chaotic spreading of epidemics in complex networks of excitable units Mathematical Biosciences and Engineering excitable media complex networks chaotic dynamics. |
| title | Chaotic spreading of epidemics in complex networks of excitable units |
| title_full | Chaotic spreading of epidemics in complex networks of excitable units |
| title_fullStr | Chaotic spreading of epidemics in complex networks of excitable units |
| title_full_unstemmed | Chaotic spreading of epidemics in complex networks of excitable units |
| title_short | Chaotic spreading of epidemics in complex networks of excitable units |
| title_sort | chaotic spreading of epidemics in complex networks of excitable units |
| topic | excitable media complex networks chaotic dynamics. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.49 |
| work_keys_str_mv | AT fsvannucchi chaoticspreadingofepidemicsincomplexnetworksofexcitableunits AT sboccaletti chaoticspreadingofepidemicsincomplexnetworksofexcitableunits |