Modelos discretos para dinâmica hospedeiro-parasitoide-predador
| Ano de defesa: | 2019 |
|---|---|
| Autor(a) principal: |
Selau, Poliana Kenderli Pacini
 |
| Orientador(a): |
Mistro, Diomar Cristina
|
| Banca de defesa: |
Varriale, Maria Cristina
,
Manica, Vanderlei
|
| Tipo de documento: | Dissertação |
| Tipo de acesso: | Acesso aberto |
| Idioma: | por |
| Instituição de defesa: |
Universidade Federal de Santa Maria
Centro de Ciências Naturais e Exatas |
| Programa de Pós-Graduação: |
Programa de Pós-Graduação em Matemática
|
| Departamento: |
Matemática
|
| País: |
Brasil
|
| Palavras-chave em Português: | |
| Palavras-chave em Inglês: | |
| Área do conhecimento CNPq: | |
| Link de acesso: | http://repositorio.ufsm.br/handle/1/19667 |
Resumo: | In this work, we formulate discrete models, described by Difference Equations and Coupled Map Lattices, in order to analize the local and spatio-temporal dynamics of hostparasitoid- predator dynamics. We firstly consider that the three species reproduce in the same time scale so that the dynamics is described by three difference equations. In the second model, we assume that the predator time scale for reproduction is much slower than the time scale for reproduction of the host and parasitoid species. In this way, the predator density is constant and the dynamics and be modelled in terms of two difference equations. We analyze the order of the events of host reproduction, predation, parasitism and consumers growth for both models. All the proposed models assume the Beverton- Holt function for host growth and Holling type III functional response for parasitism and predation; both consumers are considered specialists. By means of numerical simulations, we found biestability and triestability, besides finding periodic solutions. We finally introduced the spatial variable and studied the spatio-temporal dynamics. We obtained homogeneous as well as heterogeneous spatial distribution. The three species local model forecasts regarding the species persistence are maintained by the corresponding spatial model. For the model in the wich the predator density is constant, the spatial model produces heterogeneous distributions generated by three simultaneously stable equilibria. Keywords: Difference equations, Coupled Map Lattices, Host-parasitoid-predator dynamics, Biestability |
| id |
UFSM-20_11ae8132bbf606d9dd3e095ef02f69e4 |
|---|---|
| oai_identifier_str |
oai:repositorio.ufsm.br:1/19667 |
| network_acronym_str |
UFSM-20 |
| network_name_str |
Manancial - Repositório Digital da UFSM |
| repository_id_str |
|
| spelling |
2020-02-27T17:36:22Z2020-02-27T17:36:22Z2019-10-17http://repositorio.ufsm.br/handle/1/19667In this work, we formulate discrete models, described by Difference Equations and Coupled Map Lattices, in order to analize the local and spatio-temporal dynamics of hostparasitoid- predator dynamics. We firstly consider that the three species reproduce in the same time scale so that the dynamics is described by three difference equations. In the second model, we assume that the predator time scale for reproduction is much slower than the time scale for reproduction of the host and parasitoid species. In this way, the predator density is constant and the dynamics and be modelled in terms of two difference equations. We analyze the order of the events of host reproduction, predation, parasitism and consumers growth for both models. All the proposed models assume the Beverton- Holt function for host growth and Holling type III functional response for parasitism and predation; both consumers are considered specialists. By means of numerical simulations, we found biestability and triestability, besides finding periodic solutions. We finally introduced the spatial variable and studied the spatio-temporal dynamics. We obtained homogeneous as well as heterogeneous spatial distribution. The three species local model forecasts regarding the species persistence are maintained by the corresponding spatial model. For the model in the wich the predator density is constant, the spatial model produces heterogeneous distributions generated by three simultaneously stable equilibria. Keywords: Difference equations, Coupled Map Lattices, Host-parasitoid-predator dynamics, BiestabilityNeste trabalho, formulamos modelos discretos, do tipo Redes de Mapas Acoplados, para analisar a dinâmica local e espaço-temporal de sistemas hospedeiro-parasitoide-predador. Em um primeiro modelo consideramos que as três espécies se reproduzem na mesma escala de tempo; assim, a dinâmica é descrita por sistema de três equações a diferenças. No segundo modelo, assumimos que a escala de reprodução do predador é muito mais lenta que as escalas de reprodução da espécie do hospedeiro e do parasitoide. Com a densidade do predador constante, a dinâmica pode ser descrita por um sistema de duas equações a diferenças. Para cada um dos modelos, construímos uma versão levando em consideração a ordem dos eventos de crescimento do recurso, predação, parasitismo e crescimento das populações de consumidores. Em todos os modelos propostos, o crescimento da população de hospedeiros está de acordo com a função de Beverton-Holt e a resposta funcional Holling tipo III descreve o parasitismo e a predação. Além disso, os dois consumidores são considerados especialistas. Através de simulações numéricas, observamos a existência de múltiplos estados de equilíbrio estáveis, além de soluções periódicas. Finalmente, incluímos a variável espacial e estudamos a dinâmica espaço-temporal dos dois modelos (sem ordem de eventos). Obtivemos padrões espaciais homogêneos e heterogêneos, dependendo dos parâmetros da dinâmica e da movimentação. As previsões do modelo com as três espécies não sofreram alterações com a inclusão do espaço. Para o modelo em que a densidade do predador é constante, obtivemos distribuição heterogênea das populações gerada pela existência de três equilíbrios concomitantemente estáveis.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESporUniversidade Federal de Santa MariaCentro de Ciências Naturais e ExatasPrograma de Pós-Graduação em MatemáticaUFSMBrasilMatemáticaAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessEquações a diferençasRedes de mapas acopladosBiestabilidadeHospedeiro-parasitoide-predadorDifference equationsHost-parasitoid-predator dynamicsBiestabilityCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICAModelos discretos para dinâmica hospedeiro-parasitoide-predadorDiscrete models for host-parasitoid-predator dynamicsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisMistro, Diomar Cristinahttp://lattes.cnpq.br/5816121630218752Varriale, Maria Cristinahttp://lattes.cnpq.br/3839943345497119Manica, Vanderleihttp://lattes.cnpq.br/5422304126176162http://lattes.cnpq.br/1321184020204659Selau, Poliana Kenderli Pacini100100000008600901cd4da-552f-474a-ae2a-048c58d2b4ea8aa16756-b2bf-473d-bd84-cc2e312d139e54b327a0-1b10-401b-9fbd-b8029fd66116cae604ef-3d31-459d-aa96-a8e15ad9319areponame:Manancial - Repositório Digital da UFSMinstname:Universidade Federal de Santa Maria (UFSM)instacron:UFSMORIGINALDIS_PPGMATEMATICA_2019_SELAU_POLIANA.pdfDIS_PPGMATEMATICA_2019_SELAU_POLIANA.pdfDissertação de Mestradoapplication/pdf3512225http://repositorio.ufsm.br/bitstream/1/19667/1/DIS_PPGMATEMATICA_2019_SELAU_POLIANA.pdf420a458ff31ae88181243d5f0f7752f7MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805http://repositorio.ufsm.br/bitstream/1/19667/2/license_rdf4460e5956bc1d1639be9ae6146a50347MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81956http://repositorio.ufsm.br/bitstream/1/19667/3/license.txt2f0571ecee68693bd5cd3f17c1e075dfMD53TEXTDIS_PPGMATEMATICA_2019_SELAU_POLIANA.pdf.txtDIS_PPGMATEMATICA_2019_SELAU_POLIANA.pdf.txtExtracted texttext/plain116970http://repositorio.ufsm.br/bitstream/1/19667/4/DIS_PPGMATEMATICA_2019_SELAU_POLIANA.pdf.txt8afd119c5e0f401a55cc51977cce61a0MD54THUMBNAILDIS_PPGMATEMATICA_2019_SELAU_POLIANA.pdf.jpgDIS_PPGMATEMATICA_2019_SELAU_POLIANA.pdf.jpgIM Thumbnailimage/jpeg4545http://repositorio.ufsm.br/bitstream/1/19667/5/DIS_PPGMATEMATICA_2019_SELAU_POLIANA.pdf.jpg5f16d7f371f103c0e7dd03e6c6ba3f6aMD551/196672020-02-28 03:02:11.187oai:repositorio.ufsm.br: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ório Institucionalhttp://repositorio.ufsm.br/PUBhttp://repositorio.ufsm.br/oai/requestopendoar:39132020-02-28T06:02:11Manancial - Repositório Digital da UFSM - Universidade Federal de Santa Maria (UFSM)false |
| dc.title.por.fl_str_mv |
Modelos discretos para dinâmica hospedeiro-parasitoide-predador |
| dc.title.alternative.eng.fl_str_mv |
Discrete models for host-parasitoid-predator dynamics |
| title |
Modelos discretos para dinâmica hospedeiro-parasitoide-predador |
| spellingShingle |
Modelos discretos para dinâmica hospedeiro-parasitoide-predador Selau, Poliana Kenderli Pacini Equações a diferenças Redes de mapas acoplados Biestabilidade Hospedeiro-parasitoide-predador Difference equations Host-parasitoid-predator dynamics Biestability CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| title_short |
Modelos discretos para dinâmica hospedeiro-parasitoide-predador |
| title_full |
Modelos discretos para dinâmica hospedeiro-parasitoide-predador |
| title_fullStr |
Modelos discretos para dinâmica hospedeiro-parasitoide-predador |
| title_full_unstemmed |
Modelos discretos para dinâmica hospedeiro-parasitoide-predador |
| title_sort |
Modelos discretos para dinâmica hospedeiro-parasitoide-predador |
| author |
Selau, Poliana Kenderli Pacini |
| author_facet |
Selau, Poliana Kenderli Pacini |
| author_role |
author |
| dc.contributor.advisor1.fl_str_mv |
Mistro, Diomar Cristina |
| dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/5816121630218752 |
| dc.contributor.referee1.fl_str_mv |
Varriale, Maria Cristina |
| dc.contributor.referee1Lattes.fl_str_mv |
http://lattes.cnpq.br/3839943345497119 |
| dc.contributor.referee2.fl_str_mv |
Manica, Vanderlei |
| dc.contributor.referee2Lattes.fl_str_mv |
http://lattes.cnpq.br/5422304126176162 |
| dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/1321184020204659 |
| dc.contributor.author.fl_str_mv |
Selau, Poliana Kenderli Pacini |
| contributor_str_mv |
Mistro, Diomar Cristina Varriale, Maria Cristina Manica, Vanderlei |
| dc.subject.por.fl_str_mv |
Equações a diferenças Redes de mapas acoplados Biestabilidade Hospedeiro-parasitoide-predador |
| topic |
Equações a diferenças Redes de mapas acoplados Biestabilidade Hospedeiro-parasitoide-predador Difference equations Host-parasitoid-predator dynamics Biestability CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| dc.subject.eng.fl_str_mv |
Difference equations Host-parasitoid-predator dynamics Biestability |
| dc.subject.cnpq.fl_str_mv |
CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| description |
In this work, we formulate discrete models, described by Difference Equations and Coupled Map Lattices, in order to analize the local and spatio-temporal dynamics of hostparasitoid- predator dynamics. We firstly consider that the three species reproduce in the same time scale so that the dynamics is described by three difference equations. In the second model, we assume that the predator time scale for reproduction is much slower than the time scale for reproduction of the host and parasitoid species. In this way, the predator density is constant and the dynamics and be modelled in terms of two difference equations. We analyze the order of the events of host reproduction, predation, parasitism and consumers growth for both models. All the proposed models assume the Beverton- Holt function for host growth and Holling type III functional response for parasitism and predation; both consumers are considered specialists. By means of numerical simulations, we found biestability and triestability, besides finding periodic solutions. We finally introduced the spatial variable and studied the spatio-temporal dynamics. We obtained homogeneous as well as heterogeneous spatial distribution. The three species local model forecasts regarding the species persistence are maintained by the corresponding spatial model. For the model in the wich the predator density is constant, the spatial model produces heterogeneous distributions generated by three simultaneously stable equilibria. Keywords: Difference equations, Coupled Map Lattices, Host-parasitoid-predator dynamics, Biestability |
| publishDate |
2019 |
| dc.date.issued.fl_str_mv |
2019-10-17 |
| dc.date.accessioned.fl_str_mv |
2020-02-27T17:36:22Z |
| dc.date.available.fl_str_mv |
2020-02-27T17:36:22Z |
| dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
| format |
masterThesis |
| status_str |
publishedVersion |
| dc.identifier.uri.fl_str_mv |
http://repositorio.ufsm.br/handle/1/19667 |
| url |
http://repositorio.ufsm.br/handle/1/19667 |
| dc.language.iso.fl_str_mv |
por |
| language |
por |
| dc.relation.cnpq.fl_str_mv |
100100000008 |
| dc.relation.confidence.fl_str_mv |
600 |
| dc.relation.authority.fl_str_mv |
901cd4da-552f-474a-ae2a-048c58d2b4ea 8aa16756-b2bf-473d-bd84-cc2e312d139e 54b327a0-1b10-401b-9fbd-b8029fd66116 cae604ef-3d31-459d-aa96-a8e15ad9319a |
| dc.rights.driver.fl_str_mv |
Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
| rights_invalid_str_mv |
Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| eu_rights_str_mv |
openAccess |
| dc.publisher.none.fl_str_mv |
Universidade Federal de Santa Maria Centro de Ciências Naturais e Exatas |
| dc.publisher.program.fl_str_mv |
Programa de Pós-Graduação em Matemática |
| dc.publisher.initials.fl_str_mv |
UFSM |
| dc.publisher.country.fl_str_mv |
Brasil |
| dc.publisher.department.fl_str_mv |
Matemática |
| publisher.none.fl_str_mv |
Universidade Federal de Santa Maria Centro de Ciências Naturais e Exatas |
| dc.source.none.fl_str_mv |
reponame:Manancial - Repositório Digital da UFSM instname:Universidade Federal de Santa Maria (UFSM) instacron:UFSM |
| instname_str |
Universidade Federal de Santa Maria (UFSM) |
| instacron_str |
UFSM |
| institution |
UFSM |
| reponame_str |
Manancial - Repositório Digital da UFSM |
| collection |
Manancial - Repositório Digital da UFSM |
| bitstream.url.fl_str_mv |
http://repositorio.ufsm.br/bitstream/1/19667/1/DIS_PPGMATEMATICA_2019_SELAU_POLIANA.pdf http://repositorio.ufsm.br/bitstream/1/19667/2/license_rdf http://repositorio.ufsm.br/bitstream/1/19667/3/license.txt http://repositorio.ufsm.br/bitstream/1/19667/4/DIS_PPGMATEMATICA_2019_SELAU_POLIANA.pdf.txt http://repositorio.ufsm.br/bitstream/1/19667/5/DIS_PPGMATEMATICA_2019_SELAU_POLIANA.pdf.jpg |
| bitstream.checksum.fl_str_mv |
420a458ff31ae88181243d5f0f7752f7 4460e5956bc1d1639be9ae6146a50347 2f0571ecee68693bd5cd3f17c1e075df 8afd119c5e0f401a55cc51977cce61a0 5f16d7f371f103c0e7dd03e6c6ba3f6a |
| bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 MD5 MD5 |
| repository.name.fl_str_mv |
Manancial - Repositório Digital da UFSM - Universidade Federal de Santa Maria (UFSM) |
| repository.mail.fl_str_mv |
|
| _version_ |
1801223985301553152 |