umu.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Shadows of the susceptible-infectious-susceptible immortality transition in small networks
Umeå University, Faculty of Science and Technology, Department of Physics. Department of Energy Science, Sungkyunkwan University, 440–746 Suwon, Republic of Korea; Department of Sociology, Stockholm University, 10961 Stockholm, Sweden.ORCID iD: 0000-0003-2156-1096
2015 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 92, no 1, 012804Article in journal (Refereed) Published
Abstract [en]

Much of the research on the behavior of the SIS model on networks has concerned the infinite size limit; in particular the phase transition between a state where outbreaks can reach a finite fraction of the population, and a state where only a finite number would be infected. For finite networks, there is also a dynamic transition—the immortality transition—when the per-contact transmission probability λ reaches 1. If λ < 1, the probability that an outbreak will survive by an observation time t tends to zero as t → ∞; if λ = 1, this probability is 1. We show that treating λ = 1 as a critical point predicts the λ dependence of the survival probability also for more moderate λ values. The exponent, however, depends on the underlying network. This fact could, by measuring how a vertex’s deletion changes the exponent, be used to evaluate the role of a vertex in the outbreak. Our work also confirms an extremely clear separation between the early die-off (from the outbreak failing to take hold in the population) and the later extinctions (corresponding to rare stochastic events of several consecutive transmission events failing to occur).

Place, publisher, year, edition, pages
2015. Vol. 92, no 1, 012804
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:umu:diva-107072DOI: 10.1103/PhysRevE.92.012804ISI: 000357640900006OAI: oai:DiVA.org:umu-107072DiVA: diva2:860794
Available from: 2015-10-13 Created: 2015-08-18 Last updated: 2017-12-01Bibliographically approved

Open Access in DiVA

fulltext(617 kB)59 downloads
File information
File name FULLTEXT01.pdfFile size 617 kBChecksum SHA-512
205906067b2fd3e7137dfe78de7a541700fa029c808f9b1ce7580c6932c5fc40f7f9a9dac71d4c61ae622feb4196b9ba0b6a4cf383d5bc60a4e93ec12a04c4e3
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Authority records BETA

Holme, Petter

Search in DiVA

By author/editor
Holme, Petter
By organisation
Department of Physics
In the same journal
Physical Review E. Statistical, Nonlinear, and Soft Matter Physics
Physical Sciences

Search outside of DiVA

GoogleGoogle Scholar
Total: 59 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 38 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf