Dynamical behavior of a pest management model with impulsive effect and nonlinear incidence rate
Autor(a) principal: | |
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Data de Publicação: | 2011 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Computational & Applied Mathematics |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022011000200008 |
Resumo: | In this paper, we consider the pest management model with spraying microbial pesticide and releasing the infected pests, and the infected pests have the function similar to the microbial pesticide and can infect the healthy pests, further weaken or disable their prey function till death. By using the Floquet theory for impulsive differential equations, we show that there exists a globally asymptotically stable pest eradication periodic solution when the impulsive period τ < τmax, we further prove that the system is uniformly permanent if the impulsive period τ > τmax. Finally, by means of numerical simulation, we showthatwith the increaseof impulsive period, the system displays complicated behaviors. |
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Dynamical behavior of a pest management model with impulsive effect and nonlinear incidence ratepest-management modelimpulsive effectextinctionpermanenceIn this paper, we consider the pest management model with spraying microbial pesticide and releasing the infected pests, and the infected pests have the function similar to the microbial pesticide and can infect the healthy pests, further weaken or disable their prey function till death. By using the Floquet theory for impulsive differential equations, we show that there exists a globally asymptotically stable pest eradication periodic solution when the impulsive period τ < τmax, we further prove that the system is uniformly permanent if the impulsive period τ > τmax. Finally, by means of numerical simulation, we showthatwith the increaseof impulsive period, the system displays complicated behaviors.Sociedade Brasileira de Matemática Aplicada e Computacional2011-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022011000200008Computational & Applied Mathematics v.30 n.2 2011reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S1807-03022011000200008info:eu-repo/semantics/openAccessWang,XiaGuo,ZhenSong,Xinyueng2011-07-27T00:00:00Zoai:scielo:S1807-03022011000200008Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2011-07-27T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false |
dc.title.none.fl_str_mv |
Dynamical behavior of a pest management model with impulsive effect and nonlinear incidence rate |
title |
Dynamical behavior of a pest management model with impulsive effect and nonlinear incidence rate |
spellingShingle |
Dynamical behavior of a pest management model with impulsive effect and nonlinear incidence rate Wang,Xia pest-management model impulsive effect extinction permanence |
title_short |
Dynamical behavior of a pest management model with impulsive effect and nonlinear incidence rate |
title_full |
Dynamical behavior of a pest management model with impulsive effect and nonlinear incidence rate |
title_fullStr |
Dynamical behavior of a pest management model with impulsive effect and nonlinear incidence rate |
title_full_unstemmed |
Dynamical behavior of a pest management model with impulsive effect and nonlinear incidence rate |
title_sort |
Dynamical behavior of a pest management model with impulsive effect and nonlinear incidence rate |
author |
Wang,Xia |
author_facet |
Wang,Xia Guo,Zhen Song,Xinyu |
author_role |
author |
author2 |
Guo,Zhen Song,Xinyu |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Wang,Xia Guo,Zhen Song,Xinyu |
dc.subject.por.fl_str_mv |
pest-management model impulsive effect extinction permanence |
topic |
pest-management model impulsive effect extinction permanence |
description |
In this paper, we consider the pest management model with spraying microbial pesticide and releasing the infected pests, and the infected pests have the function similar to the microbial pesticide and can infect the healthy pests, further weaken or disable their prey function till death. By using the Floquet theory for impulsive differential equations, we show that there exists a globally asymptotically stable pest eradication periodic solution when the impulsive period τ < τmax, we further prove that the system is uniformly permanent if the impulsive period τ > τmax. Finally, by means of numerical simulation, we showthatwith the increaseof impulsive period, the system displays complicated behaviors. |
publishDate |
2011 |
dc.date.none.fl_str_mv |
2011-01-01 |
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=S1807-03022011000200008 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022011000200008 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S1807-03022011000200008 |
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.30 n.2 2011 reponame:Computational & Applied Mathematics instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC) instacron:SBMAC |
instname_str |
Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC) |
instacron_str |
SBMAC |
institution |
SBMAC |
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 |
_version_ |
1754734890249617408 |