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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Main Authors: Bruno Buonomo, Francesco Giannino, Stéphanie Saussure, Ezio Venturino
Format: Article
Language:English
Published: AIMS Press 2019-04-01
Series:Mathematical Biosciences and Engineering
Subjects:
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.
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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
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AT francescogiannino effectsoflimitedvolatilesreleasebyplantsintritrophicinteractions
AT stephaniesaussure effectsoflimitedvolatilesreleasebyplantsintritrophicinteractions
AT ezioventurino effectsoflimitedvolatilesreleasebyplantsintritrophicinteractions