Campos vetoriais suaves por partes: modelos predador-presa

Detalhes bibliográficos
Autor(a) principal: Silva, Lucyjane de Almeida
Data de Publicação: 2015
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFG
Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/4559
Resumo: In this work we study the global qualitative behavior of three predator-prey models. We analyze the existence of limit cycle and canard cycle and we investigate the kinds of bifurcation that can occur. In the first model, Gause predator-prey with a refuge, we analyze the effects of a prey refuge on the ecosystem qualitative behavior. Employing the carrying capacity of the prey population in the Gause Model with a refuge we obtain the second model, for which we analyze the effects of the carrying capacity and we compare the results. In the third model we consider the continuous threshold harvesting strategies ocurring when the predator density is above a certain threshold. We note that the model has a complex dynamics with multiple internal equilibria and different types of bifurcation.
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spelling Medrado, João Carlos da RochaMedrado, João Carlos da RochaLima, Maurício Firmino SilvaTonon, Durval Joséhttp://lattes.cnpq.br/3512519571690080Silva, Lucyjane de Almeida2015-05-20T18:32:39Z2015-03-06SILVA, L. A. Campos vetoriais suaves por partes: modelos predador-presa. 2015. 92 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2015.http://repositorio.bc.ufg.br/tede/handle/tede/4559In this work we study the global qualitative behavior of three predator-prey models. We analyze the existence of limit cycle and canard cycle and we investigate the kinds of bifurcation that can occur. In the first model, Gause predator-prey with a refuge, we analyze the effects of a prey refuge on the ecosystem qualitative behavior. Employing the carrying capacity of the prey population in the Gause Model with a refuge we obtain the second model, for which we analyze the effects of the carrying capacity and we compare the results. In the third model we consider the continuous threshold harvesting strategies ocurring when the predator density is above a certain threshold. We note that the model has a complex dynamics with multiple internal equilibria and different types of bifurcation.Neste trabalho estudamos o comportamento qualitativo global de três modelos predadorpresa. Analisamos a existência de ciclos limite e ciclos de canard e investigamos os tipos de bifurcações que podem ocorrer. No primeiro modelo, modelo predador-presa de Gause com refúgio, analisamos os efeitos do refúgio para as presas no comportamento dinâmico do ecossistema. Empregando a capacidade de suporte para a população de presas no modelo de Gause com refúgio obtemos o segundo modelo, para o qual analisamos os efeitos da capacidade de suporte e comparamos os resultados obtidos. No terceiro modelo consideramos as estratégias de colheita com limiar contínuo que é aplicada quando a densidade de predadores está acima de um certo limite e investigamos o comportamento dinâmico global. Observamos que o modelo possui uma dinâmica complexa com múltiplos pontos de equilíbrio e diferentes tipos de bifurcações.Submitted by Erika Demachki (erikademachki@gmail.com) on 2015-05-20T18:30:38Z No. of bitstreams: 2 Dissertação - Lucyjane de Almeida Silva - 2015.pdf: 1357945 bytes, checksum: c6e7c0e30627101c90a6eb4ae00a5c4d (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)Approved for entry into archive by Erika Demachki (erikademachki@gmail.com) on 2015-05-20T18:32:39Z (GMT) No. of bitstreams: 2 Dissertação - Lucyjane de Almeida Silva - 2015.pdf: 1357945 bytes, checksum: c6e7c0e30627101c90a6eb4ae00a5c4d (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)Made available in DSpace on 2015-05-20T18:32:39Z (GMT). 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dc.title.por.fl_str_mv Campos vetoriais suaves por partes: modelos predador-presa
dc.title.alternative.eng.fl_str_mv Piecewise smooth vector fields: predator-prey models
title Campos vetoriais suaves por partes: modelos predador-presa
spellingShingle Campos vetoriais suaves por partes: modelos predador-presa
Silva, Lucyjane de Almeida
Modelo predador-presa
Modelo de Gause com refúgio
Ciclo limite
Ciclo de canard
Bifurcação Bogdanov-Takens
Predator-prey model
Gause model with refuge
Limit cycle
Canard cycle
Bogdanov-Takens bifurcation
CIENCIAS EXATAS E DA TERRA::MATEMATICA
title_short Campos vetoriais suaves por partes: modelos predador-presa
title_full Campos vetoriais suaves por partes: modelos predador-presa
title_fullStr Campos vetoriais suaves por partes: modelos predador-presa
title_full_unstemmed Campos vetoriais suaves por partes: modelos predador-presa
title_sort Campos vetoriais suaves por partes: modelos predador-presa
author Silva, Lucyjane de Almeida
author_facet Silva, Lucyjane de Almeida
author_role author
dc.contributor.advisor1.fl_str_mv Medrado, João Carlos da Rocha
dc.contributor.referee1.fl_str_mv Medrado, João Carlos da Rocha
dc.contributor.referee2.fl_str_mv Lima, Maurício Firmino Silva
dc.contributor.referee3.fl_str_mv Tonon, Durval José
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/3512519571690080
dc.contributor.author.fl_str_mv Silva, Lucyjane de Almeida
contributor_str_mv Medrado, João Carlos da Rocha
Medrado, João Carlos da Rocha
Lima, Maurício Firmino Silva
Tonon, Durval José
dc.subject.por.fl_str_mv Modelo predador-presa
Modelo de Gause com refúgio
Ciclo limite
Ciclo de canard
Bifurcação Bogdanov-Takens
topic Modelo predador-presa
Modelo de Gause com refúgio
Ciclo limite
Ciclo de canard
Bifurcação Bogdanov-Takens
Predator-prey model
Gause model with refuge
Limit cycle
Canard cycle
Bogdanov-Takens bifurcation
CIENCIAS EXATAS E DA TERRA::MATEMATICA
dc.subject.eng.fl_str_mv Predator-prey model
Gause model with refuge
Limit cycle
Canard cycle
Bogdanov-Takens bifurcation
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA
description In this work we study the global qualitative behavior of three predator-prey models. We analyze the existence of limit cycle and canard cycle and we investigate the kinds of bifurcation that can occur. In the first model, Gause predator-prey with a refuge, we analyze the effects of a prey refuge on the ecosystem qualitative behavior. Employing the carrying capacity of the prey population in the Gause Model with a refuge we obtain the second model, for which we analyze the effects of the carrying capacity and we compare the results. In the third model we consider the continuous threshold harvesting strategies ocurring when the predator density is above a certain threshold. We note that the model has a complex dynamics with multiple internal equilibria and different types of bifurcation.
publishDate 2015
dc.date.accessioned.fl_str_mv 2015-05-20T18:32:39Z
dc.date.issued.fl_str_mv 2015-03-06
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
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dc.identifier.citation.fl_str_mv SILVA, L. A. Campos vetoriais suaves por partes: modelos predador-presa. 2015. 92 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2015.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tede/4559
identifier_str_mv SILVA, L. A. Campos vetoriais suaves por partes: modelos predador-presa. 2015. 92 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2015.
url http://repositorio.bc.ufg.br/tede/handle/tede/4559
dc.language.iso.fl_str_mv por
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dc.relation.program.fl_str_mv 6600717948137941247
dc.relation.confidence.fl_str_mv 600
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dc.relation.department.fl_str_mv -4268777512335152015
dc.relation.cnpq.fl_str_mv -7090823417984401694
dc.relation.sponsorship.fl_str_mv 2075167498588264571
dc.rights.driver.fl_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
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dc.publisher.none.fl_str_mv Universidade Federal de Goiás
dc.publisher.program.fl_str_mv Programa de Pós-graduação em Matemática (IME)
dc.publisher.initials.fl_str_mv UFG
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Instituto de Matemática e Estatística - IME (RG)
publisher.none.fl_str_mv Universidade Federal de Goiás
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFG
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