Effects of limited volatiles release by plants in tritrophic interactions
We introduce a mathematical model to describe the tritrophic interaction between crop, pest and the pest natural enemy where the release of Volatile Organic Compounds (VOCs) by crop is taken into account. The VOCs may be considered as an indirect defence mechanism of the plant as they attract the pe...
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Format: | Article |
Language: | English |
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AIMS Press
2019-04-01
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Series: | Mathematical Biosciences and Engineering |
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Online Access: | https://www.aimspress.com/article/10.3934/mbe.2019166?viewType=HTML |
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author | Bruno Buonomo Francesco Giannino Stéphanie Saussure Ezio Venturino |
author_facet | Bruno Buonomo Francesco Giannino Stéphanie Saussure Ezio Venturino |
author_sort | Bruno Buonomo |
collection | DOAJ |
description | We introduce a mathematical model to describe the tritrophic interaction between crop, pest and the pest natural enemy where the release of Volatile Organic Compounds (VOCs) by crop is taken into account. The VOCs may be considered as an indirect defence mechanism of the plant as they attract the pest natural enemies toward the attacked plants. The model dynamics is studied through qualitative analysis and numerical simulations. The factors that may enhance pest disappearance are identified. In particular, we show that VOCs may have a beneficial effect on the environment since their release may be able to stabilize the model dynamics. Specifically, for the parameter values that we have explored, this effect can arise only when both the phenomena of VOCs basic plant release and VOCs plant release due to pest attack are present. |
first_indexed | 2024-12-20T20:26:46Z |
format | Article |
id | doaj.art-81011526c95845b78f47cd31c618036f |
institution | Directory Open Access Journal |
issn | 1551-0018 |
language | English |
last_indexed | 2024-12-20T20:26:46Z |
publishDate | 2019-04-01 |
publisher | AIMS Press |
record_format | Article |
series | Mathematical Biosciences and Engineering |
spelling | doaj.art-81011526c95845b78f47cd31c618036f2022-12-21T19:27:26ZengAIMS PressMathematical Biosciences and Engineering1551-00182019-04-011653331334410.3934/mbe.2019166Effects of limited volatiles release by plants in tritrophic interactionsBruno Buonomo0 Francesco Giannino1Stéphanie Saussure2Ezio Venturino31. Department of Mathematics and Applications, University of Naples Federico II, via Cintia, I-80126Naples, Italy2. Department of Agricultural Science, University of Naples Federico II, via Università, 100, I-80055Portici, Italy3. Norwegian Institute of Bioeconomy Research, Postboks 115, NO-1431 Ås, Norway; NorwegianUniversity of Life Sciences, P.O. Box 5003, NO-1432 Ås, Norway4. Dipartimento di Matematica “Giuseppe Peano”, University of Turin, via Carlo Alberto 10, Turin,I-10123 ItalyWe introduce a mathematical model to describe the tritrophic interaction between crop, pest and the pest natural enemy where the release of Volatile Organic Compounds (VOCs) by crop is taken into account. The VOCs may be considered as an indirect defence mechanism of the plant as they attract the pest natural enemies toward the attacked plants. The model dynamics is studied through qualitative analysis and numerical simulations. The factors that may enhance pest disappearance are identified. In particular, we show that VOCs may have a beneficial effect on the environment since their release may be able to stabilize the model dynamics. Specifically, for the parameter values that we have explored, this effect can arise only when both the phenomena of VOCs basic plant release and VOCs plant release due to pest attack are present.https://www.aimspress.com/article/10.3934/mbe.2019166?viewType=HTMLcrops pestsvolatile organic compounds releasemathematical modelstabilityoscillations |
spellingShingle | Bruno Buonomo Francesco Giannino Stéphanie Saussure Ezio Venturino Effects of limited volatiles release by plants in tritrophic interactions Mathematical Biosciences and Engineering crops pests volatile organic compounds release mathematical model stability oscillations |
title | Effects of limited volatiles release by plants in tritrophic interactions |
title_full | Effects of limited volatiles release by plants in tritrophic interactions |
title_fullStr | Effects of limited volatiles release by plants in tritrophic interactions |
title_full_unstemmed | Effects of limited volatiles release by plants in tritrophic interactions |
title_short | Effects of limited volatiles release by plants in tritrophic interactions |
title_sort | effects of limited volatiles release by plants in tritrophic interactions |
topic | crops pests volatile organic compounds release mathematical model stability oscillations |
url | https://www.aimspress.com/article/10.3934/mbe.2019166?viewType=HTML |
work_keys_str_mv | AT brunobuonomo effectsoflimitedvolatilesreleasebyplantsintritrophicinteractions AT francescogiannino effectsoflimitedvolatilesreleasebyplantsintritrophicinteractions AT stephaniesaussure effectsoflimitedvolatilesreleasebyplantsintritrophicinteractions AT ezioventurino effectsoflimitedvolatilesreleasebyplantsintritrophicinteractions |