Mathematical modeling predicts that endemics by generalist insects are eradicated if nearly all plants produce constitutive defense

Abstract Plants with constitutive defense chemicals exist widely in nature. The phenomenon is backed by abundant data from plant chemical ecology. Sufficient data are also available to conclude that plant defenses act as deterrent and repellent to attacking herbivores, particularly deleterious gener...

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Main Authors: Suman Chakraborty, Shalu Dwivedi, Stefan Schuster
Format: Article
Language:English
Published: Nature Portfolio 2024-10-01
Series:Scientific Reports
Subjects:
Online Access:https://doi.org/10.1038/s41598-024-74771-0
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author Suman Chakraborty
Shalu Dwivedi
Stefan Schuster
author_facet Suman Chakraborty
Shalu Dwivedi
Stefan Schuster
author_sort Suman Chakraborty
collection DOAJ
description Abstract Plants with constitutive defense chemicals exist widely in nature. The phenomenon is backed by abundant data from plant chemical ecology. Sufficient data are also available to conclude that plant defenses act as deterrent and repellent to attacking herbivores, particularly deleterious generalist insects. In the wild, generalist species are usually not endemic, meaning they are not restricted to certain plant species in a region. Therefore, our objective is to inspect theoretically whether evolution of chemical defenses in all plant species eradicate an endemic by any generalist species. The objective is addressed by developing deterministic ordinary differential equations under the following conditions: Plants without constitutive defenses are susceptible to oviposition by generalist insects, while they become defended against generalists by storing chemical defenses. From the models, we explicitly obtain that a generalist-free stable state is only possible if the vast majority of all plant individuals have chemical defenses. The model also allows one to predict the highest possible percentage of undefended plant individuals, which may be considered as free-riders.
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spelling doaj-art-ad2cc610829548bdaa345a09916956242025-01-12T12:25:09ZengNature PortfolioScientific Reports2045-23222024-10-0114111310.1038/s41598-024-74771-0Mathematical modeling predicts that endemics by generalist insects are eradicated if nearly all plants produce constitutive defenseSuman Chakraborty0Shalu Dwivedi1Stefan Schuster2Department of Bioinformatics, Matthias Schleiden Institute, Friedrich Schiller University JenaDepartment of Bioinformatics, Matthias Schleiden Institute, Friedrich Schiller University JenaDepartment of Bioinformatics, Matthias Schleiden Institute, Friedrich Schiller University JenaAbstract Plants with constitutive defense chemicals exist widely in nature. The phenomenon is backed by abundant data from plant chemical ecology. Sufficient data are also available to conclude that plant defenses act as deterrent and repellent to attacking herbivores, particularly deleterious generalist insects. In the wild, generalist species are usually not endemic, meaning they are not restricted to certain plant species in a region. Therefore, our objective is to inspect theoretically whether evolution of chemical defenses in all plant species eradicate an endemic by any generalist species. The objective is addressed by developing deterministic ordinary differential equations under the following conditions: Plants without constitutive defenses are susceptible to oviposition by generalist insects, while they become defended against generalists by storing chemical defenses. From the models, we explicitly obtain that a generalist-free stable state is only possible if the vast majority of all plant individuals have chemical defenses. The model also allows one to predict the highest possible percentage of undefended plant individuals, which may be considered as free-riders.https://doi.org/10.1038/s41598-024-74771-0Susceptible plantsConstitutive defenseMathematical modelingGeneralist insectsEndemicNon-endemic
spellingShingle Suman Chakraborty
Shalu Dwivedi
Stefan Schuster
Mathematical modeling predicts that endemics by generalist insects are eradicated if nearly all plants produce constitutive defense
Scientific Reports
Susceptible plants
Constitutive defense
Mathematical modeling
Generalist insects
Endemic
Non-endemic
title Mathematical modeling predicts that endemics by generalist insects are eradicated if nearly all plants produce constitutive defense
title_full Mathematical modeling predicts that endemics by generalist insects are eradicated if nearly all plants produce constitutive defense
title_fullStr Mathematical modeling predicts that endemics by generalist insects are eradicated if nearly all plants produce constitutive defense
title_full_unstemmed Mathematical modeling predicts that endemics by generalist insects are eradicated if nearly all plants produce constitutive defense
title_short Mathematical modeling predicts that endemics by generalist insects are eradicated if nearly all plants produce constitutive defense
title_sort mathematical modeling predicts that endemics by generalist insects are eradicated if nearly all plants produce constitutive defense
topic Susceptible plants
Constitutive defense
Mathematical modeling
Generalist insects
Endemic
Non-endemic
url https://doi.org/10.1038/s41598-024-74771-0
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AT stefanschuster mathematicalmodelingpredictsthatendemicsbygeneralistinsectsareeradicatedifnearlyallplantsproduceconstitutivedefense