Oscillations in epidemic models with spread of awareness

We study ODE models of epidemic spreading with a preventive behavioral response that is triggered by awareness of the infection. Previous studies of such models have mostly focused on the impact of the response on the initial growth of an outbreak and the existence and location of endemic equilibria...

Descripción completa

Detalles Bibliográficos
Autores: Just, Winfried, Saldaña Meca, Joan, Xin, Ying
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2018
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10256/17041
Acceso en línea:http://hdl.handle.net/10256/17041
Access Level:acceso abierto
Palabra clave:Epidèmies -- Models matemàtics
Epidemics -- Mathematical models
id ES_f3afa39dbc5ae9b5ddebac4edf0ac11f
oai_identifier_str oai:recercat.cat:10256/17041
network_acronym_str ES
network_name_str España
repository_id_str
spelling Oscillations in epidemic models with spread of awarenessJust, WinfriedSaldaña Meca, JoanXin, YingEpidèmies -- Models matemàticsEpidemics -- Mathematical modelsWe study ODE models of epidemic spreading with a preventive behavioral response that is triggered by awareness of the infection. Previous studies of such models have mostly focused on the impact of the response on the initial growth of an outbreak and the existence and location of endemic equilibria. Here we study the question whether this type of response is sufficient to prevent future flare-ups from low endemic levels if awareness is assumed to decay over time. In the ODE context, such flare-ups would translate into sustained oscillations with significant amplitudes. Our results show that such oscillations are ruled out in Susceptible-Aware-Infectious-Susceptible models with a single compartment of aware hosts, but can occur if we consider two distinct compartments of aware hosts who differ in their willingness to alert other susceptible hostsSpringerinfo2018info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionpeer-reviewedapplication/pdfhttp://hdl.handle.net/10256/17041© Journal of Mathematical Biology, 2018, vol. 76, núm. 4, p. 1027-1057Articles publicats (D-IMA)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1007/s00285-017-1166-xinfo:eu-repo/semantics/altIdentifier/issn/0303-6812info:eu-repo/semantics/altIdentifier/eissn/1432-1416Tots els drets reservatsinfo:eu-repo/semantics/openAccessoai:recercat.cat:10256/170412026-05-29T05:05:01Z
dc.title.none.fl_str_mv Oscillations in epidemic models with spread of awareness
title Oscillations in epidemic models with spread of awareness
spellingShingle Oscillations in epidemic models with spread of awareness
Just, Winfried
Epidèmies -- Models matemàtics
Epidemics -- Mathematical models
title_short Oscillations in epidemic models with spread of awareness
title_full Oscillations in epidemic models with spread of awareness
title_fullStr Oscillations in epidemic models with spread of awareness
title_full_unstemmed Oscillations in epidemic models with spread of awareness
title_sort Oscillations in epidemic models with spread of awareness
dc.creator.none.fl_str_mv Just, Winfried
Saldaña Meca, Joan
Xin, Ying
author Just, Winfried
author_facet Just, Winfried
Saldaña Meca, Joan
Xin, Ying
author_role author
author2 Saldaña Meca, Joan
Xin, Ying
author2_role author
author
dc.subject.none.fl_str_mv Epidèmies -- Models matemàtics
Epidemics -- Mathematical models
topic Epidèmies -- Models matemàtics
Epidemics -- Mathematical models
description We study ODE models of epidemic spreading with a preventive behavioral response that is triggered by awareness of the infection. Previous studies of such models have mostly focused on the impact of the response on the initial growth of an outbreak and the existence and location of endemic equilibria. Here we study the question whether this type of response is sufficient to prevent future flare-ups from low endemic levels if awareness is assumed to decay over time. In the ODE context, such flare-ups would translate into sustained oscillations with significant amplitudes. Our results show that such oscillations are ruled out in Susceptible-Aware-Infectious-Susceptible models with a single compartment of aware hosts, but can occur if we consider two distinct compartments of aware hosts who differ in their willingness to alert other susceptible hosts
publishDate 2018
dc.date.none.fl_str_mv 2018
info
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
peer-reviewed
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10256/17041
url http://hdl.handle.net/10256/17041
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s00285-017-1166-x
info:eu-repo/semantics/altIdentifier/issn/0303-6812
info:eu-repo/semantics/altIdentifier/eissn/1432-1416
dc.rights.none.fl_str_mv Tots els drets reservats
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Tots els drets reservats
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv © Journal of Mathematical Biology, 2018, vol. 76, núm. 4, p. 1027-1057
Articles publicats (D-IMA)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869424400602759168
score 15,812429

Similares en LA Referencia