Stationarity in moment closure and quasi-stationarity of the SIS model

Detalhes bibliográficos
Autor(a) principal: José Martins
Data de Publicação: 2012
Outros Autores: Nico Stollenwerk, Alberto Pinto
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/10216/82009
Resumo: Previous epidemiological studies on SIS model have only considered the dynamic evolution of the mean value and the variance of the infected individuals. In this paper, through cumulant neglection, we use the dynamic equations of all the moments of infected individuals to develop a recursive method to compute the equilibria manifold of the moment closure ODE's. Specifically, we use the stable equilibria of the moment closure ODE's to obtain good approximations of the quasi-stationary states of the SIS model. This is a crucial step when the quasi-stationary distribution is highly skewed.
id RCAP_2c36e17993f0ba6834271904ffe52f8d
oai_identifier_str oai:repositorio-aberto.up.pt:10216/82009
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Stationarity in moment closure and quasi-stationarity of the SIS modelMatemáticaMathematicsPrevious epidemiological studies on SIS model have only considered the dynamic evolution of the mean value and the variance of the infected individuals. In this paper, through cumulant neglection, we use the dynamic equations of all the moments of infected individuals to develop a recursive method to compute the equilibria manifold of the moment closure ODE's. Specifically, we use the stable equilibria of the moment closure ODE's to obtain good approximations of the quasi-stationary states of the SIS model. This is a crucial step when the quasi-stationary distribution is highly skewed.20122012-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10216/82009eng0025-556410.1016/j.mbs.2012.02.001José MartinsNico StollenwerkAlberto Pintoinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-29T13:27:09Zoai:repositorio-aberto.up.pt:10216/82009Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:40:47.229741Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Stationarity in moment closure and quasi-stationarity of the SIS model
title Stationarity in moment closure and quasi-stationarity of the SIS model
spellingShingle Stationarity in moment closure and quasi-stationarity of the SIS model
José Martins
Matemática
Mathematics
title_short Stationarity in moment closure and quasi-stationarity of the SIS model
title_full Stationarity in moment closure and quasi-stationarity of the SIS model
title_fullStr Stationarity in moment closure and quasi-stationarity of the SIS model
title_full_unstemmed Stationarity in moment closure and quasi-stationarity of the SIS model
title_sort Stationarity in moment closure and quasi-stationarity of the SIS model
author José Martins
author_facet José Martins
Nico Stollenwerk
Alberto Pinto
author_role author
author2 Nico Stollenwerk
Alberto Pinto
author2_role author
author
dc.contributor.author.fl_str_mv José Martins
Nico Stollenwerk
Alberto Pinto
dc.subject.por.fl_str_mv Matemática
Mathematics
topic Matemática
Mathematics
description Previous epidemiological studies on SIS model have only considered the dynamic evolution of the mean value and the variance of the infected individuals. In this paper, through cumulant neglection, we use the dynamic equations of all the moments of infected individuals to develop a recursive method to compute the equilibria manifold of the moment closure ODE's. Specifically, we use the stable equilibria of the moment closure ODE's to obtain good approximations of the quasi-stationary states of the SIS model. This is a crucial step when the quasi-stationary distribution is highly skewed.
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10216/82009
url https://hdl.handle.net/10216/82009
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0025-5564
10.1016/j.mbs.2012.02.001
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
_version_ 1799135722584670209

Registros relacionados