Population dynamics of fungi that cause stem diseases in vines under the action of possible inhibitory agents
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | , , , , |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Remat (Bento Gonçalves) |
Texto Completo: | https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/4432 |
Resumo: | The article introduces mathematical contributions for the areas of agriculture and phytopathology using actual data and molding the behavior of physical phenomena. The purpose of the work was molding the growth of Botryosphaeria dothidea in culture medium with different components, comparing the experimental data with the classical mathematical model of Verhulst. The experiment was made in the Phytopathology Laboratory – IFRS/Campus Bento Gonçalves, where the culture medium Potato Dextrose Agar (PDA) was prepared with different components that possibly inhibiting growth, besides evidence (exclusively with PDA). The culture medium was allocated in Petri plates and next the fungus Botryosphaeria dothidea was cut up in the center of the plates about this medium. Fungal growth measurements were executed every 12 hours. For the numerical processing and display graphics were used computer software, such as Excel and Scilab. Through Mathematical Models, that consequently reflect in Ordinary Differential Equations, numerical simulations were possible to program, so verifying that the witness showed the smallest mistake in relation to the classical model. It is possible to declare that the fungus growth follows a classical mathematical model (Verhulst). However, it was possible to verify that the culture media that presented possible inhibitors in their composition delayed the growth of the fungus, showing that in this type of situation the classic mathematical model does not describe reality accurately, needing to be adapted. |
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Population dynamics of fungi that cause stem diseases in vines under the action of possible inhibitory agentsDinâmica populacional de fungos causadores de doenças de tronco em videiras sob a ação de possíveis agentes inibidoresModelo de VerhulstFungosEquações DiferenciaisModelagem MatemáticaMatemática AplicadaVerhulst' ModelFungusDifferential EquationsMathematical ModelingApplied MathematicsThe article introduces mathematical contributions for the areas of agriculture and phytopathology using actual data and molding the behavior of physical phenomena. The purpose of the work was molding the growth of Botryosphaeria dothidea in culture medium with different components, comparing the experimental data with the classical mathematical model of Verhulst. The experiment was made in the Phytopathology Laboratory – IFRS/Campus Bento Gonçalves, where the culture medium Potato Dextrose Agar (PDA) was prepared with different components that possibly inhibiting growth, besides evidence (exclusively with PDA). The culture medium was allocated in Petri plates and next the fungus Botryosphaeria dothidea was cut up in the center of the plates about this medium. Fungal growth measurements were executed every 12 hours. For the numerical processing and display graphics were used computer software, such as Excel and Scilab. Through Mathematical Models, that consequently reflect in Ordinary Differential Equations, numerical simulations were possible to program, so verifying that the witness showed the smallest mistake in relation to the classical model. It is possible to declare that the fungus growth follows a classical mathematical model (Verhulst). However, it was possible to verify that the culture media that presented possible inhibitors in their composition delayed the growth of the fungus, showing that in this type of situation the classic mathematical model does not describe reality accurately, needing to be adapted.O artigo apresenta contribuições matemáticas para as áreas da agricultura e da fitopatologia, utilizando-se de dados reais e modelando o comportamento de fenômenos físicos. O objetivo do trabalho é modelar o crescimento do Botryosphaeria dothidea em meio de cultura com diferentes componentes, comparando os dados experimentais com o modelo matemático clássico de Verhulst. O experimento foi realizado no Laboratório de Fitopatologia do IFRS - Campus Bento Gonçalves, onde foi preparado o meio de cultura batata-dextrose-ágar (BDA), com diferentes componentes possivelmente inibitórios de crescimento, além de uma testemunha (somente com BDA). O meio de cultura foi alocado em placas de Petri e, em seguida, o fungo Botryosphaeria dothidea foi repicado no centro das placas sobre esse meio. Foram realizadas medições do crescimento fúngico a cada 12 horas. Para o processamento numérico e para a exibição dos gráficos foram utilizados softwares computacionais, tais como o Excel e o Scilab. Por meio de Modelos Matemáticos, que consequentemente refletem em Equações Diferenciais Ordinárias, foi possível programar as simulações numéricas, verificando-se, assim, que a testemunha foi a que apresentou menor erro em relação ao modelo clássico. É plausível afirmar que o crescimento do fungo segue um modelo matemático clássico (Verhulst). Porém, foi possível constatar que os meios de cultura que possuíam possíveis inibidores em sua composição retardaram o crescimento do fungo, indicando que neste tipo de situação o modelo matemático clássico não descreve precisamente a realidade, necessitando ser adaptado.Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul2021-01-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtigo avaliado pelos paresapplication/pdfhttps://periodicos.ifrs.edu.br/index.php/REMAT/article/view/443210.35819/remat2021v7i1id4432REMAT: Revista Eletrônica da Matemática; Vol. 7 No. 1 (2021); e3003REMAT: Revista Eletrônica da Matemática; Vol. 7 Núm. 1 (2021); e3003REMAT: Revista Eletrônica da Matemática; v. 7 n. 1 (2021); e30032447-2689reponame:Remat (Bento Gonçalves)instname:Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)instacron:IFRSporhttps://periodicos.ifrs.edu.br/index.php/REMAT/article/view/4432/2839Copyright (c) 2021 REMAT: Revista Eletrônica da Matemáticahttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessPitol, LisandraWeimann, TatianeStroschein, Sandra DeniseAlmança, Marcus André KurtzOliveira, Cristian Schweitzer deStiehl, Rodrigo2022-12-28T16:06:35Zoai:ojs2.periodicos.ifrs.edu.br:article/4432Revistahttp://periodicos.ifrs.edu.br/index.php/REMATPUBhttps://periodicos.ifrs.edu.br/index.php/REMAT/oai||greice.andreis@caxias.ifrs.edu.br2447-26892447-2689opendoar:2022-12-28T16:06:35Remat (Bento Gonçalves) - Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)false |
dc.title.none.fl_str_mv |
Population dynamics of fungi that cause stem diseases in vines under the action of possible inhibitory agents Dinâmica populacional de fungos causadores de doenças de tronco em videiras sob a ação de possíveis agentes inibidores |
title |
Population dynamics of fungi that cause stem diseases in vines under the action of possible inhibitory agents |
spellingShingle |
Population dynamics of fungi that cause stem diseases in vines under the action of possible inhibitory agents Pitol, Lisandra Modelo de Verhulst Fungos Equações Diferenciais Modelagem Matemática Matemática Aplicada Verhulst' Model Fungus Differential Equations Mathematical Modeling Applied Mathematics |
title_short |
Population dynamics of fungi that cause stem diseases in vines under the action of possible inhibitory agents |
title_full |
Population dynamics of fungi that cause stem diseases in vines under the action of possible inhibitory agents |
title_fullStr |
Population dynamics of fungi that cause stem diseases in vines under the action of possible inhibitory agents |
title_full_unstemmed |
Population dynamics of fungi that cause stem diseases in vines under the action of possible inhibitory agents |
title_sort |
Population dynamics of fungi that cause stem diseases in vines under the action of possible inhibitory agents |
author |
Pitol, Lisandra |
author_facet |
Pitol, Lisandra Weimann, Tatiane Stroschein, Sandra Denise Almança, Marcus André Kurtz Oliveira, Cristian Schweitzer de Stiehl, Rodrigo |
author_role |
author |
author2 |
Weimann, Tatiane Stroschein, Sandra Denise Almança, Marcus André Kurtz Oliveira, Cristian Schweitzer de Stiehl, Rodrigo |
author2_role |
author author author author author |
dc.contributor.author.fl_str_mv |
Pitol, Lisandra Weimann, Tatiane Stroschein, Sandra Denise Almança, Marcus André Kurtz Oliveira, Cristian Schweitzer de Stiehl, Rodrigo |
dc.subject.por.fl_str_mv |
Modelo de Verhulst Fungos Equações Diferenciais Modelagem Matemática Matemática Aplicada Verhulst' Model Fungus Differential Equations Mathematical Modeling Applied Mathematics |
topic |
Modelo de Verhulst Fungos Equações Diferenciais Modelagem Matemática Matemática Aplicada Verhulst' Model Fungus Differential Equations Mathematical Modeling Applied Mathematics |
description |
The article introduces mathematical contributions for the areas of agriculture and phytopathology using actual data and molding the behavior of physical phenomena. The purpose of the work was molding the growth of Botryosphaeria dothidea in culture medium with different components, comparing the experimental data with the classical mathematical model of Verhulst. The experiment was made in the Phytopathology Laboratory – IFRS/Campus Bento Gonçalves, where the culture medium Potato Dextrose Agar (PDA) was prepared with different components that possibly inhibiting growth, besides evidence (exclusively with PDA). The culture medium was allocated in Petri plates and next the fungus Botryosphaeria dothidea was cut up in the center of the plates about this medium. Fungal growth measurements were executed every 12 hours. For the numerical processing and display graphics were used computer software, such as Excel and Scilab. Through Mathematical Models, that consequently reflect in Ordinary Differential Equations, numerical simulations were possible to program, so verifying that the witness showed the smallest mistake in relation to the classical model. It is possible to declare that the fungus growth follows a classical mathematical model (Verhulst). However, it was possible to verify that the culture media that presented possible inhibitors in their composition delayed the growth of the fungus, showing that in this type of situation the classic mathematical model does not describe reality accurately, needing to be adapted. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-01-12 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Artigo avaliado pelos pares |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/4432 10.35819/remat2021v7i1id4432 |
url |
https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/4432 |
identifier_str_mv |
10.35819/remat2021v7i1id4432 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/4432/2839 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2021 REMAT: Revista Eletrônica da Matemática https://creativecommons.org/licenses/by/4.0 info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2021 REMAT: Revista Eletrônica da Matemática https://creativecommons.org/licenses/by/4.0 |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul |
publisher.none.fl_str_mv |
Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul |
dc.source.none.fl_str_mv |
REMAT: Revista Eletrônica da Matemática; Vol. 7 No. 1 (2021); e3003 REMAT: Revista Eletrônica da Matemática; Vol. 7 Núm. 1 (2021); e3003 REMAT: Revista Eletrônica da Matemática; v. 7 n. 1 (2021); e3003 2447-2689 reponame:Remat (Bento Gonçalves) instname:Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS) instacron:IFRS |
instname_str |
Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS) |
instacron_str |
IFRS |
institution |
IFRS |
reponame_str |
Remat (Bento Gonçalves) |
collection |
Remat (Bento Gonçalves) |
repository.name.fl_str_mv |
Remat (Bento Gonçalves) - Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS) |
repository.mail.fl_str_mv |
||greice.andreis@caxias.ifrs.edu.br |
_version_ |
1798329706027679744 |