Thresholds for Epidemic Outbreaks in Finite Scale-Free Networks | Zendy

DongUk Hwang | Zendy; Stefano Boccaletti | Zendy; Yamir Moreno | Zendy; Ricardo LópezRuiz | Zendy

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Thresholds for Epidemic Outbreaks in Finite Scale-Free Networks

Author(s) -

DongUk Hwang,

Stefano Boccaletti,

Yamir Moreno,

Ricardo LópezRuiz

Publication year - 2005

Publication title -

mathematical biosciences and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.451

H-Index - 45

eISSN - 1551-0018

pISSN - 1547-1063

DOI - 10.3934/mbe.2005.2.317

Subject(s) - convergence (economics) , scaling , exponent , degree distribution , statistical physics , outbreak , degree (music) , scale (ratio) , complex network , epidemic model , mathematics , computer science , physics , demography , combinatorics , geometry , economics , medicine , population , quantum mechanics , linguistics , philosophy , virology , sociology , acoustics , economic growth

We numerically investigate the existence of a threshold for epidemic outbreaks in a class of scale-free networks characterized by a parametri- cal dependence of the scaling exponent, influencing the convergence of fluctuations in the degree distribution. In finite-size networks, finite thresholds for the spreading of an epidemic are always found. However, both the thresholds and the behavior of the epidemic prevalence are quite diferent with respect to the type of network considered and the system size. We also discuss agreements and diferences with some analytical claims previously reported.

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