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Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/4818

Title: Epidemic dynamics on scale-free networks with piecewise linear infectivity and immunization
Authors: Fu, Xinchu
Small, Michael
Walker, David M.
Zhang, Haifeng
Subjects: Immunization
Mathematical models
Mathematical transformations
Piecewise linear techniques
Problem solving
Issue Date: 12-Mar-2008
Publisher: American Physical Society
Citation: Physical review E, statistical, nonlinear, and soft matter physics, Mar. 2008, v. 77, no. 3, 036113, p. 1-8.
Abstract: We examine epidemic thresholds for disease spread using susceptible-infected-susceptible models on scale-free networks with variable infectivity. Infectivity between nodes is modeled as a piecewise linear function of the node degree (rather than the less realistic linear transformation considered previously). With this nonlinear infectivity, we derive conditions for the epidemic threshold to be positive. The effects of various immunization schemes including ring and targeted vaccination are studied and compared. We find that both targeted and ring immunization strategies compare favorably to a proportional scheme in terms of effectiveness.
Description: DOI: 10.1103/PhysRevE.77.036113
Rights: Physical Review E © 2008 The American Physical Society. The Journal's web site is located at http://pre.aps.org/
Type: Journal/Magazine Article
URI: http://hdl.handle.net/10397/4818
ISSN: 1539-3755 (print)
1550-2376 (online)
Appears in Collections:EIE Journal/Magazine Articles

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