Modeling the interactions among phythopatogens and phyllosphere microorganisms for the biological disease control of Olea europaea L.

Detalhes bibliográficos
Autor(a) principal: Baptista, Paula
Data de Publicação: 2018
Outros Autores: Bulai, Iulia Martina, Gomes, Teresa, Venturino, Ezio
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10198/18149
Resumo: In this paper we formulate a model for assessing the interaction between the phytopathogen Spilocaea oleaginea and the phyllosphere microorganisms that are present in the olive tree leaves. The model describes the evolution in time of the foliage of the olive tree and the two different microorganisms, the phytopathogen fungi, that negatively affect the plant causing spots in the leaves, and the beneficial phyllosphere microorganisms, that help in keeping in check the invasion of the former. The system possesses five equilibria that are suitably analysed for feasibility and stability. The model shows interesting features: a bistable behavior, exhibited by three different pairs of equilibria. The separatrix surface of the basins of attraction of one such pair is computed. This allows the possible assessment of human intervention for control of the disease. Persistent oscillations via Hopf bifurcation are also discovered.
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spelling Modeling the interactions among phythopatogens and phyllosphere microorganisms for the biological disease control of Olea europaea L.BistabilityMathematical modelOlive tree diseaseOscillating behaviorIn this paper we formulate a model for assessing the interaction between the phytopathogen Spilocaea oleaginea and the phyllosphere microorganisms that are present in the olive tree leaves. The model describes the evolution in time of the foliage of the olive tree and the two different microorganisms, the phytopathogen fungi, that negatively affect the plant causing spots in the leaves, and the beneficial phyllosphere microorganisms, that help in keeping in check the invasion of the former. The system possesses five equilibria that are suitably analysed for feasibility and stability. The model shows interesting features: a bistable behavior, exhibited by three different pairs of equilibria. The separatrix surface of the basins of attraction of one such pair is computed. This allows the possible assessment of human intervention for control of the disease. Persistent oscillations via Hopf bifurcation are also discovered.EV and IMB have been partially supported by the projects “Metodi numerici in teoria delle popolazioni” and “Metodi numerici nelle scienze applicate” of the Dipartimento di Matematica “Giuseppe Peano” of the Università di Torino. IMB has been partially supported by ”Finanziamento GNCS Giovani Ricercatori 2016”.Biblioteca Digital do IPBBaptista, PaulaBulai, Iulia MartinaGomes, TeresaVenturino, Ezio2018-01-19T10:00:00Z20192019-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10198/18149engBaptista, Paula; Bulai, Iulia Martina; Gomes, Teresa; Venturino, Ezio (2019). Modeling the interactions among phythopatogens and phyllosphere microorganisms for the biological disease control of Olea europaea L.. Mathematical Biosciences. ISSN 0025-5564. 308, p. 42-580025-556410.1016/j.mbs.2018.12.002info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-21T10:42:45Zoai:bibliotecadigital.ipb.pt:10198/18149Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:09:00.262219Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Modeling the interactions among phythopatogens and phyllosphere microorganisms for the biological disease control of Olea europaea L.
title Modeling the interactions among phythopatogens and phyllosphere microorganisms for the biological disease control of Olea europaea L.
spellingShingle Modeling the interactions among phythopatogens and phyllosphere microorganisms for the biological disease control of Olea europaea L.
Baptista, Paula
Bistability
Mathematical model
Olive tree disease
Oscillating behavior
title_short Modeling the interactions among phythopatogens and phyllosphere microorganisms for the biological disease control of Olea europaea L.
title_full Modeling the interactions among phythopatogens and phyllosphere microorganisms for the biological disease control of Olea europaea L.
title_fullStr Modeling the interactions among phythopatogens and phyllosphere microorganisms for the biological disease control of Olea europaea L.
title_full_unstemmed Modeling the interactions among phythopatogens and phyllosphere microorganisms for the biological disease control of Olea europaea L.
title_sort Modeling the interactions among phythopatogens and phyllosphere microorganisms for the biological disease control of Olea europaea L.
author Baptista, Paula
author_facet Baptista, Paula
Bulai, Iulia Martina
Gomes, Teresa
Venturino, Ezio
author_role author
author2 Bulai, Iulia Martina
Gomes, Teresa
Venturino, Ezio
author2_role author
author
author
dc.contributor.none.fl_str_mv Biblioteca Digital do IPB
dc.contributor.author.fl_str_mv Baptista, Paula
Bulai, Iulia Martina
Gomes, Teresa
Venturino, Ezio
dc.subject.por.fl_str_mv Bistability
Mathematical model
Olive tree disease
Oscillating behavior
topic Bistability
Mathematical model
Olive tree disease
Oscillating behavior
description In this paper we formulate a model for assessing the interaction between the phytopathogen Spilocaea oleaginea and the phyllosphere microorganisms that are present in the olive tree leaves. The model describes the evolution in time of the foliage of the olive tree and the two different microorganisms, the phytopathogen fungi, that negatively affect the plant causing spots in the leaves, and the beneficial phyllosphere microorganisms, that help in keeping in check the invasion of the former. The system possesses five equilibria that are suitably analysed for feasibility and stability. The model shows interesting features: a bistable behavior, exhibited by three different pairs of equilibria. The separatrix surface of the basins of attraction of one such pair is computed. This allows the possible assessment of human intervention for control of the disease. Persistent oscillations via Hopf bifurcation are also discovered.
publishDate 2018
dc.date.none.fl_str_mv 2018-01-19T10:00:00Z
2019
2019-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10198/18149
url http://hdl.handle.net/10198/18149
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Baptista, Paula; Bulai, Iulia Martina; Gomes, Teresa; Venturino, Ezio (2019). Modeling the interactions among phythopatogens and phyllosphere microorganisms for the biological disease control of Olea europaea L.. Mathematical Biosciences. ISSN 0025-5564. 308, p. 42-58
0025-5564
10.1016/j.mbs.2018.12.002
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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