Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population

In this paper, we propose a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population, which is derived from the continuous case by using the well-known backward Euler method and by applying a Lyapunov function technique, which is a discrete version o...

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Detalles Bibliográficos
Autores: Muroya, Y., Bellen, A., Enatsu, Y., Nakata, Y.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2012
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/417
Acceso en línea:http://hdl.handle.net/20.500.11824/417
Access Level:acceso abierto
Palabra clave:Epidemic model
Global asymptotic stability
Heterogeneous host
Latency
Lyapunov functional
Permanence
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spelling Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host populationMuroya, Y.Bellen, A.Enatsu, Y.Nakata, Y.Epidemic modelGlobal asymptotic stabilityHeterogeneous hostLatencyLyapunov functionalPermanenceIn this paper, we propose a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population, which is derived from the continuous case by using the well-known backward Euler method and by applying a Lyapunov function technique, which is a discrete version of that in the paper by Prss et al. [J. Prss, L. Pujo-Menjouet, G.F. Webb, R. Zacher, Analysis of a model for the dynamics of prions, Discrete Contin. Dyn. Syst. Ser. B 6 (2006) 225235]. It is shown that the global dynamics of this discrete epidemic model with latency are fully determined by a single threshold parameter.201720172012info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/417reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttps://www.scopus.com/inward/record.uri?eid=2-s2.0-80052787362&doi=10.1016%2fj.nonrwa.2011.07.031&partnerID=40&md5=c6387ed3205112724f28a36c238b2ec4Reconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/4172026-06-19T12:47:47Z
dc.title.none.fl_str_mv Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population
title Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population
spellingShingle Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population
Muroya, Y.
Epidemic model
Global asymptotic stability
Heterogeneous host
Latency
Lyapunov functional
Permanence
title_short Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population
title_full Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population
title_fullStr Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population
title_full_unstemmed Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population
title_sort Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population
dc.creator.none.fl_str_mv Muroya, Y.
Bellen, A.
Enatsu, Y.
Nakata, Y.
author Muroya, Y.
author_facet Muroya, Y.
Bellen, A.
Enatsu, Y.
Nakata, Y.
author_role author
author2 Bellen, A.
Enatsu, Y.
Nakata, Y.
author2_role author
author
author
dc.subject.none.fl_str_mv Epidemic model
Global asymptotic stability
Heterogeneous host
Latency
Lyapunov functional
Permanence
topic Epidemic model
Global asymptotic stability
Heterogeneous host
Latency
Lyapunov functional
Permanence
description In this paper, we propose a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population, which is derived from the continuous case by using the well-known backward Euler method and by applying a Lyapunov function technique, which is a discrete version of that in the paper by Prss et al. [J. Prss, L. Pujo-Menjouet, G.F. Webb, R. Zacher, Analysis of a model for the dynamics of prions, Discrete Contin. Dyn. Syst. Ser. B 6 (2006) 225235]. It is shown that the global dynamics of this discrete epidemic model with latency are fully determined by a single threshold parameter.
publishDate 2012
dc.date.none.fl_str_mv 2012
2017
2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/417
url http://hdl.handle.net/20.500.11824/417
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://www.scopus.com/inward/record.uri?eid=2-s2.0-80052787362&doi=10.1016%2fj.nonrwa.2011.07.031&partnerID=40&md5=c6387ed3205112724f28a36c238b2ec4
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:BIRD. BCAM's Institutional Repository Data
instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
reponame_str BIRD. BCAM's Institutional Repository Data
collection BIRD. BCAM's Institutional Repository Data
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