dorsal/arxiv
View SchemaEpidemic dynamics on an adaptive network
| Authors | Thilo Gross, Carlos Dommar D'Lima, Bernd Blasius |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0512037 |
| URL | https://arxiv.org/abs/q-bio/0512037 |
| DOI | 10.1103/PhysRevLett.96.208701 |
| Journal | Phys. Rev. Lett. 96, 208701 (2006) |
Abstract
Many real world networks are characterized by adaptive changes in their topology depending on the dynamic state of their nodes. Here we study epidemic dynamics in an adaptive network, where susceptibles are able to avoid contact with infected by rewiring their network connections. We demonstrate that adaptive rewiring has profound consequences for the emerging network structure, giving rise to assortative degree correlation and a separation into two loosely connected sub-compartments. This leads to dynamics such as oscillations, hysteresis and 1st order transitions. We describe the system in terms of a simple model using a pair-approximation and present a full local bifurcation analysis. Our results indicate that the interplay between dynamics and topology can have important consequences for the spreading of infectious diseases and related applications.
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"abstract": "Many real world networks are characterized by adaptive changes in their\ntopology depending on the dynamic state of their nodes. Here we study epidemic\ndynamics in an adaptive network, where susceptibles are able to avoid contact\nwith infected by rewiring their network connections. We demonstrate that\nadaptive rewiring has profound consequences for the emerging network structure,\ngiving rise to assortative degree correlation and a separation into two loosely\nconnected sub-compartments. This leads to dynamics such as oscillations,\nhysteresis and 1st order transitions. We describe the system in terms of a\nsimple model using a pair-approximation and present a full local bifurcation\nanalysis. Our results indicate that the interplay between dynamics and topology\ncan have important consequences for the spreading of infectious diseases and\nrelated applications.",
"arxiv_id": "q-bio/0512037",
"authors": [
"Thilo Gross",
"Carlos Dommar D\u0027Lima",
"Bernd Blasius"
],
"categories": [
"q-bio.PE",
"cond-mat.soft",
"physics.soc-ph"
],
"doi": "10.1103/PhysRevLett.96.208701",
"journal_ref": "Phys. Rev. Lett. 96, 208701 (2006)",
"title": "Epidemic dynamics on an adaptive network",
"url": "https://arxiv.org/abs/q-bio/0512037"
},
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