Thresholds for Epidemic Outbreaks in Finite Scale-Free Networks
We numerically investigate the existence of a threshold forepidemic outbreaks in a class of scale-free networks characterizedby a parametrical dependence of the scaling exponent, influencingthe convergence of fluctuations in the degree distribution. Infinite-size networks, finite thresholds for the...
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| Format: | Article |
| Language: | English |
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AIMS Press
2005-02-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.317 |
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| _version_ | 1832590247762853888 |
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| author | Dong-Uk Hwang S. Boccaletti Y. Moreno R. López-Ruiz |
| author_facet | Dong-Uk Hwang S. Boccaletti Y. Moreno R. López-Ruiz |
| author_sort | Dong-Uk Hwang |
| collection | DOAJ |
| description | We numerically investigate the existence of a threshold forepidemic outbreaks in a class of scale-free networks characterizedby a parametrical dependence of the scaling exponent, influencingthe convergence of fluctuations in the degree distribution. Infinite-size networks, finite thresholds for the spreading of anepidemic are always found. However, both the thresholds and thebehavior of the epidemic prevalence are quite different withrespect to the type of network considered and the system size. Wealso discuss agreements and differences with some analyticalclaims previously reported. |
| format | Article |
| id | doaj-art-3d0e255ddca74da78a3d7da4342b8b41 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2005-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-3d0e255ddca74da78a3d7da4342b8b412025-01-24T01:48:05ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-02-012231732710.3934/mbe.2005.2.317Thresholds for Epidemic Outbreaks in Finite Scale-Free NetworksDong-Uk Hwang0S. Boccaletti1Y. Moreno2R. López-Ruiz3Istituto Nazionale di Ottica Applicata, Largo E. Fermi, 6 50125 FlorenceIstituto Nazionale di Ottica Applicata, Largo E. Fermi, 6, 50125 FlorenceInstituto de Biocomputación y Física de Sistemas Complejos (BIFI), Universidad de Zaragoza, Zaragoza 50009Department of Computer Science, University of Zaragoza, Zaragoza 50009We numerically investigate the existence of a threshold forepidemic outbreaks in a class of scale-free networks characterizedby a parametrical dependence of the scaling exponent, influencingthe convergence of fluctuations in the degree distribution. Infinite-size networks, finite thresholds for the spreading of anepidemic are always found. However, both the thresholds and thebehavior of the epidemic prevalence are quite different withrespect to the type of network considered and the system size. Wealso discuss agreements and differences with some analyticalclaims previously reported.https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.317scale-free network.epidemic threshold |
| spellingShingle | Dong-Uk Hwang S. Boccaletti Y. Moreno R. López-Ruiz Thresholds for Epidemic Outbreaks in Finite Scale-Free Networks Mathematical Biosciences and Engineering scale-free network. epidemic threshold |
| title | Thresholds for Epidemic Outbreaks in Finite Scale-Free Networks |
| title_full | Thresholds for Epidemic Outbreaks in Finite Scale-Free Networks |
| title_fullStr | Thresholds for Epidemic Outbreaks in Finite Scale-Free Networks |
| title_full_unstemmed | Thresholds for Epidemic Outbreaks in Finite Scale-Free Networks |
| title_short | Thresholds for Epidemic Outbreaks in Finite Scale-Free Networks |
| title_sort | thresholds for epidemic outbreaks in finite scale free networks |
| topic | scale-free network. epidemic threshold |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.317 |
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