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Possibly longest food chain : Analysis of a mathematical model
https://hiroshima.repo.nii.ac.jp/records/2007683
https://hiroshima.repo.nii.ac.jp/records/2007683657b19c4-c847-4d5b-8d8f-4c44cfce1523
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
MMNP_3_131.pdf (515.2 KB)
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| Item type | デフォルトアイテムタイプ_（フル）(1) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 公開日 | 2023-03-18 | |||||||||
| タイトル | ||||||||||
| タイトル | Possibly longest food chain : Analysis of a mathematical model | |||||||||
| 言語 | en | |||||||||
| 作成者 |
Matsuoka, T.
× Matsuoka, T.
× Seno, Hiromi
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| アクセス権 | ||||||||||
| アクセス権 | open access | |||||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||
| 権利情報 | ||||||||||
| 権利情報 | Copyright (c) 2008 EDP Sciences | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | food chain | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | energy reserve | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | trophic level | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | mathematical model | |||||||||
| 主題 | ||||||||||
| 主題Scheme | NDC | |||||||||
| 主題 | 460 | |||||||||
| 内容記述 | ||||||||||
| 内容記述 | We consider the number of trophic levels in a food chain given by the equilibrium state for a simple mathematical model with ordinary differential equations which govern the temporal variation of the energy reserve in each trophic level. When a new trophic level invades over the top of the chain, the chain could lengthen by one trophic level. We can derive the condition that such lengthening could occur, and prove that the possibly longest chain is globally stable. In some specific cases, we find that the possibly longest chain is such that the lower trophic level has a greater energy reserve than the higher has, so that the distribution of energy reserves can be regarded to have a pyramid shape, whereas, if any of its trophic levels is removed, the pyramid shape cannot be maintained. Further, we find the condition that arbitrary long chain can be established. In such unbounded case, we prove that any chain could not have the pyramid shape of energy reserve distribution. | |||||||||
| 言語 | en | |||||||||
| 出版者 | ||||||||||
| 出版者 | EDP Sciences | |||||||||
| 言語 | ||||||||||
| 言語 | eng | |||||||||
| 資源タイプ | ||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
| 資源タイプ | journal article | |||||||||
| 出版タイプ | ||||||||||
| 出版タイプ | VoR | |||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||
| 関連情報 | ||||||||||
| 識別子タイプ | DOI | |||||||||
| 関連識別子 | 10.1051/mmnp:2008067 | |||||||||
| 関連情報 | ||||||||||
| 識別子タイプ | DOI | |||||||||
| 関連識別子 | http://dx.doi.org/10.1051/mmnp:2008067 | |||||||||
| 開始ページ | ||||||||||
| 開始ページ | 131 | |||||||||
| 書誌情報 |
Mathematical Modelling of Natural Phenomena Mathematical Modelling of Natural Phenomena 巻 3, 号 4, p. 131-160, 発行日 2008 |
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| 旧ID | 26399 | |||||||||
