Periodic dynamic systems for infected hosts and mosquitoes
Autor(a) principal: | |
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Data de Publicação: | 1996 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Revista de Saúde Pública |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0034-89101996000300003 |
Resumo: | A mathematical model for the purpose of analysing the dynamic of the populations of infected hosts anf infected mosquitoes when the populations of mosquitoes are periodic in time is here presented. By the computation of a parameter lambda (the spectral radius of a certain monodromy matrix) one can state that either the infection peters out naturally) (lambda <= 1) or if lambda > 1 the infection becomes endemic. The model generalizes previous models for malaria by considering the case of periodic coefficients; it is also a variation of that for gonorrhea. The main motivation for the consideration of this present model was the recent studies on mosquitoes at an experimental rice irrigation system, in the South-Eastern region of Brazil. |
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Periodic dynamic systems for infected hosts and mosquitoesMalaria/epidemiologyCulicidaePopulation dinamicsEcology, vectorsA mathematical model for the purpose of analysing the dynamic of the populations of infected hosts anf infected mosquitoes when the populations of mosquitoes are periodic in time is here presented. By the computation of a parameter lambda (the spectral radius of a certain monodromy matrix) one can state that either the infection peters out naturally) (lambda <= 1) or if lambda > 1 the infection becomes endemic. The model generalizes previous models for malaria by considering the case of periodic coefficients; it is also a variation of that for gonorrhea. The main motivation for the consideration of this present model was the recent studies on mosquitoes at an experimental rice irrigation system, in the South-Eastern region of Brazil.Faculdade de Saúde Pública da Universidade de São Paulo1996-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0034-89101996000300003Revista de Saúde Pública v.30 n.3 1996reponame:Revista de Saúde Públicainstname:Universidade de São Paulo (USP)instacron:USP10.1590/S0034-89101996000300003info:eu-repo/semantics/openAccessOliva,W. M.Sallum,E. M.eng2003-01-03T00:00:00Zoai:scielo:S0034-89101996000300003Revistahttp://www.scielo.br/scielo.php?script=sci_serial&pid=0034-8910&lng=pt&nrm=isoONGhttps://old.scielo.br/oai/scielo-oai.phprevsp@org.usp.br||revsp1@usp.br1518-87870034-8910opendoar:2003-01-03T00:00Revista de Saúde Pública - Universidade de São Paulo (USP)false |
dc.title.none.fl_str_mv |
Periodic dynamic systems for infected hosts and mosquitoes |
title |
Periodic dynamic systems for infected hosts and mosquitoes |
spellingShingle |
Periodic dynamic systems for infected hosts and mosquitoes Oliva,W. M. Malaria/epidemiology Culicidae Population dinamics Ecology, vectors |
title_short |
Periodic dynamic systems for infected hosts and mosquitoes |
title_full |
Periodic dynamic systems for infected hosts and mosquitoes |
title_fullStr |
Periodic dynamic systems for infected hosts and mosquitoes |
title_full_unstemmed |
Periodic dynamic systems for infected hosts and mosquitoes |
title_sort |
Periodic dynamic systems for infected hosts and mosquitoes |
author |
Oliva,W. M. |
author_facet |
Oliva,W. M. Sallum,E. M. |
author_role |
author |
author2 |
Sallum,E. M. |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Oliva,W. M. Sallum,E. M. |
dc.subject.por.fl_str_mv |
Malaria/epidemiology Culicidae Population dinamics Ecology, vectors |
topic |
Malaria/epidemiology Culicidae Population dinamics Ecology, vectors |
description |
A mathematical model for the purpose of analysing the dynamic of the populations of infected hosts anf infected mosquitoes when the populations of mosquitoes are periodic in time is here presented. By the computation of a parameter lambda (the spectral radius of a certain monodromy matrix) one can state that either the infection peters out naturally) (lambda <= 1) or if lambda > 1 the infection becomes endemic. The model generalizes previous models for malaria by considering the case of periodic coefficients; it is also a variation of that for gonorrhea. The main motivation for the consideration of this present model was the recent studies on mosquitoes at an experimental rice irrigation system, in the South-Eastern region of Brazil. |
publishDate |
1996 |
dc.date.none.fl_str_mv |
1996-06-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0034-89101996000300003 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0034-89101996000300003 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S0034-89101996000300003 |
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 |
Faculdade de Saúde Pública da Universidade de São Paulo |
publisher.none.fl_str_mv |
Faculdade de Saúde Pública da Universidade de São Paulo |
dc.source.none.fl_str_mv |
Revista de Saúde Pública v.30 n.3 1996 reponame:Revista de Saúde Pública instname:Universidade de São Paulo (USP) instacron:USP |
instname_str |
Universidade de São Paulo (USP) |
instacron_str |
USP |
institution |
USP |
reponame_str |
Revista de Saúde Pública |
collection |
Revista de Saúde Pública |
repository.name.fl_str_mv |
Revista de Saúde Pública - Universidade de São Paulo (USP) |
repository.mail.fl_str_mv |
revsp@org.usp.br||revsp1@usp.br |
_version_ |
1748936491009048576 |