Logo do repositório
 
Publicação

The Higher Moments Dynamic on SIS Model

2009-09Comunicação em conferência Acesso aberto
Ver registo simples
datacite.subject.fosCiências Naturais::Ciências Físicas
datacite.subject.sdg03:Saúde de Qualidade
dc.contributor.authorPinto, Alberto
dc.contributor.authorGouveia Martins, José Maria
dc.contributor.authorStollenwerk, Nico
dc.date.accessioned2025-05-21T16:59:47Z
dc.date.available2025-05-21T16:59:47Z
dc.date.issued2009-09
dc.descriptionInternational Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009, 18 September 2009 through 22 September 2009
dc.description.abstractThe basic contact process or the SIS model is a well known epidemic process and have been studied for a wide class of people. In an epidemiological context, many authors worked on the SIS model considering only the dynamic of the first moments of infecteds, i.e., the mean value and the variance of the infected individuals. In this work, we study not only the dynamic of the first moments of infecteds but also on the dynamic of the higher moments. Recursively, we consider the dynamic equations for all the moments of infecteds and, applying the moment closure approximation, we obtain the stationary states of the state variables. We observe that the stationary states of the SIS model, in the moment closure approximation, can be used to obtain good approximations of the quasi-stationary states of the SIS model.eng
dc.description.sponsorshipWe thank Calouste Gulbenkian Foundation, PRODYN-ESF, Programs POCTI and POCI by FCT and Ministério da Ciência, Tecnologia e Ensino Superior and Centro de Matemática da Universidade do Minho for their financial support. José Martins also thanks FCT for the PhD grant with reference SFRW/BD/37433/2007.
dc.identifier.citationAlberto Pinto, José Martins, Nico Stollenwerk; The Higher Moments Dynamic on SIS Model. AIP Conf. Proc. 9 September 2009; 1168 (1): 1527–1530. https://doi.org/10.1063/1.3241390.
dc.identifier.doi10.1063/1.3241390
dc.identifier.eissn1551-7616
dc.identifier.issn0094-243X
dc.identifier.urihttp://hdl.handle.net/10400.8/12957
dc.language.isoeng
dc.peerreviewedyes
dc.publisherAmerican Institute of Physics
dc.relationSFRW/BD/37433/2007
dc.relation.hasversionhttps://pubs.aip.org/aip/acp/article/1168/1/1527/854299/The-Higher-Moments-Dynamic-on-SIS-Model
dc.relation.ispartofAIP Conference Proceedings
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectContact process
dc.subjectQuasi-stationary distribution
dc.subjectMoment closure approximation
dc.titleThe Higher Moments Dynamic on SIS Modeleng
dc.typeconference paper
dspace.entity.typePublication
oaire.citation.conferenceDate2009-09
oaire.citation.conferencePlaceRethymno, Crete (Greece)
oaire.citation.endPage1530
oaire.citation.issue1
oaire.citation.startPage1527
oaire.citation.titleAIP Conference Proceedings
oaire.citation.volume1168
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameGouveia Martins
person.givenNameJosé Maria
person.identifier.ciencia-id9015-9D8C-93DF
person.identifier.gsid43461781600
person.identifier.orcid0000-0002-0556-7861
relation.isAuthorOfPublication29fc5be8-b5a2-489c-92d3-c0efe7e57892
relation.isAuthorOfPublication.latestForDiscovery29fc5be8-b5a2-489c-92d3-c0efe7e57892

Ficheiros

Principais
A mostrar 1 - 1 de 1
Miniatura
Nome:
The higher moments dynamic on SIS model.pdf
Tamanho:
402.64 KB
Formato:
Adobe Portable Document Format
Descrição:
The basic contact process or the SIS model is a well known epidemic process and have been studied for a wide class of people. In an epidemiological context, many authors worked on the SIS model considering only the dynamic of the first moments of infecteds, i.e., the mean value and the variance of the infected individuals. In this work, we study not only the dynamic of the first moments of infecteds but also on the dynamic of the higher moments. Recursively, we consider the dynamic equations for all the moments of infecteds and, applying the moment closure approximation, we obtain the stationary states of the state variables. We observe that the stationary states of the SIS model, in the moment closure approximation, can be used to obtain good approximations of the quasi-stationary states of the SIS model.
Ver/Abrir
Licença
A mostrar 1 - 1 de 1
Miniatura indisponível
Nome:
license.txt
Tamanho:
1.32 KB
Formato:
Item-specific license agreed upon to submission
Descrição:
Ver/Abrir

Coleções

ESTG - Comunicações em conferências e congressos internacionais