On a discrete West Nile epidemic model

Detalhes bibliográficos
Autor(a) principal: Jang,Sophia R.-J.
Data de Publicação: 2007
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022007000300005
Resumo: A West Nile epidemic model in discrete-time is proposed. The model consists of two interacting populations, the vector and the avian populations. The avian population is classified into susceptible, infective, and recovered classes while an individual vector is either susceptible or infective. The transmission of the disease is assumed only by mosquitoes bites and vertical transmission in the vector population. The model behavior depends on a lumpedparameter R0. The disease-free equilibrium is locally asymptotically stable if R0 < 1. The system is uniformly persistent and possesses a unique endemic equilibrium if R0 > 1. Consequently, the disease can persist in the populations if R0 > 1.
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spelling On a discrete West Nile epidemic modelWest Nile virusuniform persistenceLiapunov functionA West Nile epidemic model in discrete-time is proposed. The model consists of two interacting populations, the vector and the avian populations. The avian population is classified into susceptible, infective, and recovered classes while an individual vector is either susceptible or infective. The transmission of the disease is assumed only by mosquitoes bites and vertical transmission in the vector population. The model behavior depends on a lumpedparameter R0. The disease-free equilibrium is locally asymptotically stable if R0 < 1. The system is uniformly persistent and possesses a unique endemic equilibrium if R0 > 1. Consequently, the disease can persist in the populations if R0 > 1.Sociedade Brasileira de Matemática Aplicada e Computacional2007-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022007000300005Computational &amp; Applied Mathematics v.26 n.3 2007reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S0101-82052007000300005info:eu-repo/semantics/openAccessJang,Sophia R.-J.eng2007-11-14T00:00:00Zoai:scielo:S1807-03022007000300005Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2007-11-14T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv On a discrete West Nile epidemic model
title On a discrete West Nile epidemic model
spellingShingle On a discrete West Nile epidemic model
Jang,Sophia R.-J.
West Nile virus
uniform persistence
Liapunov function
title_short On a discrete West Nile epidemic model
title_full On a discrete West Nile epidemic model
title_fullStr On a discrete West Nile epidemic model
title_full_unstemmed On a discrete West Nile epidemic model
title_sort On a discrete West Nile epidemic model
author Jang,Sophia R.-J.
author_facet Jang,Sophia R.-J.
author_role author
dc.contributor.author.fl_str_mv Jang,Sophia R.-J.
dc.subject.por.fl_str_mv West Nile virus
uniform persistence
Liapunov function
topic West Nile virus
uniform persistence
Liapunov function
description A West Nile epidemic model in discrete-time is proposed. The model consists of two interacting populations, the vector and the avian populations. The avian population is classified into susceptible, infective, and recovered classes while an individual vector is either susceptible or infective. The transmission of the disease is assumed only by mosquitoes bites and vertical transmission in the vector population. The model behavior depends on a lumpedparameter R0. The disease-free equilibrium is locally asymptotically stable if R0 < 1. The system is uniformly persistent and possesses a unique endemic equilibrium if R0 > 1. Consequently, the disease can persist in the populations if R0 > 1.
publishDate 2007
dc.date.none.fl_str_mv 2007-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022007000300005
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022007000300005
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0101-82052007000300005
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv Computational &amp; Applied Mathematics v.26 n.3 2007
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
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instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
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reponame_str Computational & Applied Mathematics
collection Computational & Applied Mathematics
repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
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