Stochastic dynamics of dengue epidemics

Detalhes bibliográficos
Autor(a) principal: Souza, David R. de
Data de Publicação: 2013
Outros Autores: Tomé, Tânia, Pinho, Suani Tavares Rubim de, Barreto, Florisneide Rodrigues, Oliveira, Mário J. de
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/17130
Resumo: p.1-7
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spelling Souza, David R. deTomé, TâniaPinho, Suani Tavares Rubim deBarreto, Florisneide RodriguesOliveira, Mário J. de2015-03-10T19:26:00Z2015-03-10T19:26:00Z20131539-3755http://repositorio.ufba.br/ri/handle/ri/17130v. 87p.1-7We use a stochastic Markovian dynamics approach to describe the spreading of vector-transmitted diseases, such as dengue, and the threshold of the disease. The coexistence space is composed of two structures representing the human and mosquito populations. The human population follows a susceptible-infected-recovered (SIR) type dynamics and the mosquito population follows a susceptible-infected-susceptible (SIS) type dynamics. The human infection is caused by infected mosquitoes and vice versa, so that the SIS and SIR dynamics are interconnected. We develop a truncation scheme to solve the evolution equations from which we get the threshold of the disease and the reproductive ratio. The threshold of the disease is also obtained by performing numerical simulations. We found that for certain values of the infection rates the spreading of the disease is impossible, for any death rate of infected mosquitoes.Submitted by Edileide Reis (leyde-landy@hotmail.com) on 2015-03-10T12:55:02Z No. of bitstreams: 1 David R. de Souza.pdf: 195060 bytes, checksum: e47247df362f19fdc49141064578f7c1 (MD5)Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2015-03-10T19:26:00Z (GMT) No. of bitstreams: 1 David R. de Souza.pdf: 195060 bytes, checksum: e47247df362f19fdc49141064578f7c1 (MD5)Made available in DSpace on 2015-03-10T19:26:00Z (GMT). No. of bitstreams: 1 David R. de Souza.pdf: 195060 bytes, checksum: e47247df362f19fdc49141064578f7c1 (MD5) Previous issue date: 2013http://dx.doi.org/10.1103/PhysRevE.87.012709reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAStochastic dynamics of dengue epidemicsPhysical Review Einfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleBrasilinfo:eu-repo/semantics/openAccessengORIGINALDavid R. de Souza.pdfDavid R. de Souza.pdfapplication/pdf195060https://repositorio.ufba.br/bitstream/ri/17130/1/David%20R.%20de%20Souza.pdfe47247df362f19fdc49141064578f7c1MD51LICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/17130/2/license.txtff6eaa8b858ea317fded99f125f5fcd0MD52TEXTDavid R. de Souza.pdf.txtDavid R. de Souza.pdf.txtExtracted texttext/plain37733https://repositorio.ufba.br/bitstream/ri/17130/3/David%20R.%20de%20Souza.pdf.txt6ea8ad0a5953a408c8f76a8b6b207877MD53ri/171302022-03-23 20:18:55.025oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-03-23T23:18:55Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Stochastic dynamics of dengue epidemics
dc.title.alternative.pt_BR.fl_str_mv Physical Review E
title Stochastic dynamics of dengue epidemics
spellingShingle Stochastic dynamics of dengue epidemics
Souza, David R. de
title_short Stochastic dynamics of dengue epidemics
title_full Stochastic dynamics of dengue epidemics
title_fullStr Stochastic dynamics of dengue epidemics
title_full_unstemmed Stochastic dynamics of dengue epidemics
title_sort Stochastic dynamics of dengue epidemics
author Souza, David R. de
author_facet Souza, David R. de
Tomé, Tânia
Pinho, Suani Tavares Rubim de
Barreto, Florisneide Rodrigues
Oliveira, Mário J. de
author_role author
author2 Tomé, Tânia
Pinho, Suani Tavares Rubim de
Barreto, Florisneide Rodrigues
Oliveira, Mário J. de
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Souza, David R. de
Tomé, Tânia
Pinho, Suani Tavares Rubim de
Barreto, Florisneide Rodrigues
Oliveira, Mário J. de
description p.1-7
publishDate 2013
dc.date.issued.fl_str_mv 2013
dc.date.accessioned.fl_str_mv 2015-03-10T19:26:00Z
dc.date.available.fl_str_mv 2015-03-10T19:26:00Z
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dc.identifier.uri.fl_str_mv http://repositorio.ufba.br/ri/handle/ri/17130
dc.identifier.issn.none.fl_str_mv 1539-3755
dc.identifier.number.pt_BR.fl_str_mv v. 87
identifier_str_mv 1539-3755
v. 87
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dc.language.iso.fl_str_mv eng
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