SIR model of epidemic spread with accumulated exposure

2009
journal article
article
12
dc.abstract.enWe study an extended and modified SIR model of epidemic spread in which susceptible agents during interactions with infectious neighbors are exposed to the disease and can consequently become infectious. The studied model is extended to include heterogeneity of interactions which is modelled assuming random character of the dose accumulated by susceptible agents in every interaction with infectious neighbors. When the accumulated exposure is larger than the individual's resistance, an agent becomes infectious and consequently introduces a new source of an epidemic which is capable of passing the disease further. We study statistical properties characterizing the course of an epidemic. The examination of the modified SIR model reveals a possible ``resonant activation{''}-like behavior of the system in the duration of the epidemic outbreak and a possible bistable behavior of the model with accumulated exposure. Furthermore, the linear scaling of the duration of the epidemic with the system size for a wide range of the model parameters is recorded.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiegopl
dc.contributor.authorDybiec, Bartłomiej - 102110 pl
dc.date.accessioned2018-04-12T12:11:49Z
dc.date.available2018-04-12T12:11:49Z
dc.date.issued2009pl
dc.description.number3pl
dc.description.physical377-383pl
dc.description.volume67pl
dc.identifier.doi10.1140/epjb/e2008-00435-ypl
dc.identifier.eissn1434-6036pl
dc.identifier.issn1434-6028pl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/53324
dc.languageengpl
dc.language.containerengpl
dc.rightsDodaję tylko opis bibliograficzny*
dc.rights.licencebez licencji
dc.rights.uri*
dc.subtypeArticlepl
dc.titleSIR model of epidemic spread with accumulated exposurepl
dc.title.journalThe European Physical Journal. B, Condensed Matter and Complex Systemspl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
We study an extended and modified SIR model of epidemic spread in which susceptible agents during interactions with infectious neighbors are exposed to the disease and can consequently become infectious. The studied model is extended to include heterogeneity of interactions which is modelled assuming random character of the dose accumulated by susceptible agents in every interaction with infectious neighbors. When the accumulated exposure is larger than the individual's resistance, an agent becomes infectious and consequently introduces a new source of an epidemic which is capable of passing the disease further. We study statistical properties characterizing the course of an epidemic. The examination of the modified SIR model reveals a possible ``resonant activation{''}-like behavior of the system in the duration of the epidemic outbreak and a possible bistable behavior of the model with accumulated exposure. Furthermore, the linear scaling of the duration of the epidemic with the system size for a wide range of the model parameters is recorded.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
dc.contributor.authorpl
Dybiec, Bartłomiej - 102110
dc.date.accessioned
2018-04-12T12:11:49Z
dc.date.available
2018-04-12T12:11:49Z
dc.date.issuedpl
2009
dc.description.numberpl
3
dc.description.physicalpl
377-383
dc.description.volumepl
67
dc.identifier.doipl
10.1140/epjb/e2008-00435-y
dc.identifier.eissnpl
1434-6036
dc.identifier.issnpl
1434-6028
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/53324
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Dodaję tylko opis bibliograficzny
dc.rights.licence
bez licencji
dc.rights.uri*
dc.subtypepl
Article
dc.titlepl
SIR model of epidemic spread with accumulated exposure
dc.title.journalpl
The European Physical Journal. B, Condensed Matter and Complex Systems
dc.typepl
JournalArticle
dspace.entity.type
Publication

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