Analysis of an impulsive pest management SEI model with nonlinear incidence rate

Detalhes bibliográficos
Autor(a) principal: Wang,Xia
Data de Publicação: 2010
Outros Autores: Song,Xinyu
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022010000100001
Resumo: According to biological strategy for pest control, we investigate the dynamic behavior of a pest management SEI model with nonlinear incidence concerning impulsive strategy-periodic releasing infected pests at fixed times. We prove that all solutions of the system are uniformly ultimately bounded and there exists a globally asymptotically attractive pest-eradication periodic solution when the impulsive period satisfies A1. When the impulsive period satisfies A2, the stability of pest-eradication periodic solution is lost, the system is uniformly permanent. Thus, we can use the stability of the positive periodic solution and its period to control insect pests at acceptably low levels.
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spelling Analysis of an impulsive pest management SEI model with nonlinear incidence ratepest-managementboundednessglobal attractivitypermanenceextinctionAccording to biological strategy for pest control, we investigate the dynamic behavior of a pest management SEI model with nonlinear incidence concerning impulsive strategy-periodic releasing infected pests at fixed times. We prove that all solutions of the system are uniformly ultimately bounded and there exists a globally asymptotically attractive pest-eradication periodic solution when the impulsive period satisfies A1. When the impulsive period satisfies A2, the stability of pest-eradication periodic solution is lost, the system is uniformly permanent. Thus, we can use the stability of the positive periodic solution and its period to control insect pests at acceptably low levels.Sociedade Brasileira de Matemática Aplicada e Computacional2010-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022010000100001Computational & Applied Mathematics v.29 n.1 2010reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S1807-03022010000100001info:eu-repo/semantics/openAccessWang,XiaSong,Xinyueng2010-03-19T00:00:00Zoai:scielo:S1807-03022010000100001Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2010-03-19T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv Analysis of an impulsive pest management SEI model with nonlinear incidence rate
title Analysis of an impulsive pest management SEI model with nonlinear incidence rate
spellingShingle Analysis of an impulsive pest management SEI model with nonlinear incidence rate
Wang,Xia
pest-management
boundedness
global attractivity
permanence
extinction
title_short Analysis of an impulsive pest management SEI model with nonlinear incidence rate
title_full Analysis of an impulsive pest management SEI model with nonlinear incidence rate
title_fullStr Analysis of an impulsive pest management SEI model with nonlinear incidence rate
title_full_unstemmed Analysis of an impulsive pest management SEI model with nonlinear incidence rate
title_sort Analysis of an impulsive pest management SEI model with nonlinear incidence rate
author Wang,Xia
author_facet Wang,Xia
Song,Xinyu
author_role author
author2 Song,Xinyu
author2_role author
dc.contributor.author.fl_str_mv Wang,Xia
Song,Xinyu
dc.subject.por.fl_str_mv pest-management
boundedness
global attractivity
permanence
extinction
topic pest-management
boundedness
global attractivity
permanence
extinction
description According to biological strategy for pest control, we investigate the dynamic behavior of a pest management SEI model with nonlinear incidence concerning impulsive strategy-periodic releasing infected pests at fixed times. We prove that all solutions of the system are uniformly ultimately bounded and there exists a globally asymptotically attractive pest-eradication periodic solution when the impulsive period satisfies A1. When the impulsive period satisfies A2, the stability of pest-eradication periodic solution is lost, the system is uniformly permanent. Thus, we can use the stability of the positive periodic solution and its period to control insect pests at acceptably low levels.
publishDate 2010
dc.date.none.fl_str_mv 2010-01-01
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=S1807-03022010000100001
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022010000100001
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1807-03022010000100001
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 & Applied Mathematics v.29 n.1 2010
reponame:Computational & Applied Mathematics
instname: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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