Weak Allee effect in a predator-prey system involving distributed delays
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=S1807-03022011000300011 |
Resumo: | In this paper we study the influence of weak Allee effect in a predator-prey system model. This effect is included in the prey equation and we determine conditions for the occurrence of Hopf bifurcation. The stability properties of the system and the biological issues of the memory and Allee models on the coexistence of the two species are studied. Finally we present some simulations which allow one to verify the analytical conclusions obtained. Mathematical subject classification: Primary: 34C25; Secondary: 92B05. |
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Computational & Applied Mathematics |
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spelling |
Weak Allee effect in a predator-prey system involving distributed delaysweak Allee effectpopulation dynamicsHopf bifurcationpredator-prey modeldistributed delayIn this paper we study the influence of weak Allee effect in a predator-prey system model. This effect is included in the prey equation and we determine conditions for the occurrence of Hopf bifurcation. The stability properties of the system and the biological issues of the memory and Allee models on the coexistence of the two species are studied. Finally we present some simulations which allow one to verify the analytical conclusions obtained. Mathematical subject classification: Primary: 34C25; Secondary: 92B05.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=S1807-03022011000300011Computational & Applied Mathematics v.30 n.3 2011reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S1807-03022011000300011info:eu-repo/semantics/openAccessTabares,Paulo C.C.Ferreira,Jocirei D.Rao,V. Sree Harieng2012-01-06T00:00:00Zoai:scielo:S1807-03022011000300011Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2012-01-06T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false |
dc.title.none.fl_str_mv |
Weak Allee effect in a predator-prey system involving distributed delays |
title |
Weak Allee effect in a predator-prey system involving distributed delays |
spellingShingle |
Weak Allee effect in a predator-prey system involving distributed delays Tabares,Paulo C.C. weak Allee effect population dynamics Hopf bifurcation predator-prey model distributed delay |
title_short |
Weak Allee effect in a predator-prey system involving distributed delays |
title_full |
Weak Allee effect in a predator-prey system involving distributed delays |
title_fullStr |
Weak Allee effect in a predator-prey system involving distributed delays |
title_full_unstemmed |
Weak Allee effect in a predator-prey system involving distributed delays |
title_sort |
Weak Allee effect in a predator-prey system involving distributed delays |
author |
Tabares,Paulo C.C. |
author_facet |
Tabares,Paulo C.C. Ferreira,Jocirei D. Rao,V. Sree Hari |
author_role |
author |
author2 |
Ferreira,Jocirei D. Rao,V. Sree Hari |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Tabares,Paulo C.C. Ferreira,Jocirei D. Rao,V. Sree Hari |
dc.subject.por.fl_str_mv |
weak Allee effect population dynamics Hopf bifurcation predator-prey model distributed delay |
topic |
weak Allee effect population dynamics Hopf bifurcation predator-prey model distributed delay |
description |
In this paper we study the influence of weak Allee effect in a predator-prey system model. This effect is included in the prey equation and we determine conditions for the occurrence of Hopf bifurcation. The stability properties of the system and the biological issues of the memory and Allee models on the coexistence of the two species are studied. Finally we present some simulations which allow one to verify the analytical conclusions obtained. Mathematical subject classification: Primary: 34C25; Secondary: 92B05. |
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=S1807-03022011000300011 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022011000300011 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S1807-03022011000300011 |
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.3 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_ |
1754734890327212032 |