A scaling analysis in the SIRI epidemiological model

Pinto, Alberto; Stollenwerk, Nico; Gouveia Martins, José Maria; Martins, José

Publication

A scaling analysis in the SIRI epidemiological model

2009-09Journal article

datacite.subject.fos	Ciências Naturais::Matemáticas
dc.contributor.author	Pinto, Alberto
dc.contributor.author	Stollenwerk, Nico
dc.contributor.author	Gouveia Martins, José Maria
dc.contributor.author	Martins, José
dc.date.accessioned	2025-04-02T10:47:09Z
dc.date.available	2025-04-02T10:47:09Z
dc.date.issued	2009-09
dc.description	AMS Subject Classification: 34A34; 92D30; 92D25.
dc.description.abstract	For the spatial stochastic epidemic reinfection model SIRI, where susceptibles S can become infected I , then recover and remain only partial immune against reinfection R, we determine the phase transition lines using pair approximation for the moments derived from the master equation. We introduce a scaling argument that allows us to determine analytically an explicit formula for these phase transition lines and prove rigorously the heuristic results obtained previously.	por
dc.identifier.citation	Martins, J., Pinto, A., & Stollenwerk, N. (2009). A scaling analysis in the SIRI epidemiological model. Journal of Biological Dynamics, 3(5), 479–496. https://doi.org/10.1080/17513750802601058
dc.identifier.doi	https://doi.org/10.1080/17513750802601058
dc.identifier.eissn	1751-3766
dc.identifier.issn	1751-3758
dc.identifier.uri	http://hdl.handle.net/10400.8/12742
dc.language.iso	eng
dc.peerreviewed	yes
dc.publisher	Taylor and Francis
dc.relation.hasversion	https://www.tandfonline.com/doi/full/10.1080/17513750802601058
dc.relation.ispartof	Journal of Biological Dynamics
dc.rights.uri	http://creativecommons.org/licenses/by-nc/4.0/
dc.subject	stochastic processes
dc.subject	reinfection model
dc.subject	pair approximation
dc.subject	phase transition lines
dc.title	A scaling analysis in the SIRI epidemiological model	eng
dc.type	journal article
dspace.entity.type	Publication
oaire.citation.endPage	496
oaire.citation.issue	5
oaire.citation.startPage	479
oaire.citation.title	Journal of Biological Dynamics
oaire.citation.volume	3
oaire.version	http://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyName	Martins
person.familyName	Gouveia Martins
person.givenName	José
person.givenName	José Maria
person.identifier.ciencia-id	FA1B-6241-A508
person.identifier.orcid	0000-0003-0524-420X
person.identifier.orcid	0000-0002-0556-7861
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relation.isAuthorOfPublication.latestForDiscovery	29fc5be8-b5a2-489c-92d3-c0efe7e57892