Weak Allee effect in a predator-prey system involving distributed delays

Detalhes bibliográficos
Autor(a) principal: Tabares,Paulo C.C.
Data de Publicação: 2011
Outros Autores: Ferreira,Jocirei D., Rao,V. Sree Hari
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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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
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