Coexistence and extinction in a data-based ratio-dependent model of an insect community
In theory, pure competition often leads to competitive exclusion of species. However, what we often see in nature is a large number of distinct predator or consumer species coexist in a community consisting a smaller number of prey or plant species. In an effort of dissecting how indirect competition and selective predation may have contributed to the coexistence of species in an insect community, according to the replicated cage experiments (two aphid species and a specialist parasitoid that attacks only one of the aphids) and proposed mathematical models, van Veen et. al. [5] conclude that the coexistence of the three species is due to a combination of density-mediated and trait-mediated indirect interactions. In this paper, we formulate an alternative model that observes the conventional law of mass conservation and provides a better fitting to their experimental data sets. Moreover, we present an initial attempt in studying the stabilities of the nonnegative steady states of this model.
| Medienart: |
E-Artikel |
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| Erscheinungsjahr: |
2020 |
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| Erschienen: |
2020 |
| Enthalten in: |
Zur Gesamtaufnahme - volume:17 |
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| Enthalten in: |
Mathematical biosciences and engineering : MBE - 17(2020), 4 vom: 27. Apr., Seite 3274-3293 |
| Sprache: |
Englisch |
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| Beteiligte Personen: |
Kuang, Yang [VerfasserIn] |
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| Links: |
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| Anmerkungen: |
Date Completed 21.06.2021 Date Revised 21.06.2021 published: Print Citation Status MEDLINE |
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| doi: |
10.3934/mbe.2020187 |
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| funding: |
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| Förderinstitution / Projekttitel: |
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NLM315582235 |
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| 500 | |a Citation Status MEDLINE | ||
| 520 | |a In theory, pure competition often leads to competitive exclusion of species. However, what we often see in nature is a large number of distinct predator or consumer species coexist in a community consisting a smaller number of prey or plant species. In an effort of dissecting how indirect competition and selective predation may have contributed to the coexistence of species in an insect community, according to the replicated cage experiments (two aphid species and a specialist parasitoid that attacks only one of the aphids) and proposed mathematical models, van Veen et. al. [5] conclude that the coexistence of the three species is due to a combination of density-mediated and trait-mediated indirect interactions. In this paper, we formulate an alternative model that observes the conventional law of mass conservation and provides a better fitting to their experimental data sets. Moreover, we present an initial attempt in studying the stabilities of the nonnegative steady states of this model | ||
| 650 | 4 | |a Journal Article | |
| 650 | 4 | |a Research Support, N.I.H., Extramural | |
| 650 | 4 | |a Research Support, Non-U.S. Gov't | |
| 650 | 4 | |a Research Support, U.S. Gov't, Non-P.H.S. | |
| 650 | 4 | |a Hopf bifurcation | |
| 650 | 4 | |a Predator-prey | |
| 650 | 4 | |a coexistence | |
| 650 | 4 | |a competition | |
| 650 | 4 | |a extinction | |
| 650 | 4 | |a stability | |
| 700 | 1 | |a Wang, Kaifa |e verfasserin |4 aut | |
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