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A mathematical model for invasion range of population dispering through patchy environment
https://hiroshima.repo.nii.ac.jp/records/2006461
https://hiroshima.repo.nii.ac.jp/records/200646192dfcf43-6992-4399-919b-c4bf0c0195cf
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
senokoshiba-r2.pdf (299.2 KB)
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| Item type | デフォルトアイテムタイプ_（フル）(1) | |||||||||
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| 公開日 | 2023-03-18 | |||||||||
| タイトル | ||||||||||
| タイトル | A mathematical model for invasion range of population dispering through patchy environment | |||||||||
| 言語 | en | |||||||||
| 作成者 |
Seno, Hiromi
× Seno, Hiromi
× Koshiba, Shinko
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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) 2005 Springer "The original publication is available at www.springerlin.com" | |||||||||
| 主題 | ||||||||||
| 主題Scheme | NDC | |||||||||
| 主題 | 410 | |||||||||
| 内容記述 | ||||||||||
| 内容記述 | We focus on the question of how the dispersion of an invading population is affected by the spatial distribution of patches that have resource available for the population's settlement and reproduction. We have developed and analyzed a mathematical model with a simple stochastic process. The patches are grouped into three classes - free, occupied and abandoned - depending on the state of the patch used by the population. We especially consider the range expanded by invaded patches, the invaded range R, assuming a certain generalized relation between R and the total number of invaded patches k, making use of an index, a sort of fractal dimension, to characterize the spatial distribution of invaded patches. We show that the expected velocity is significantly affected by the nature of spatial distribution of resource patches, and is temporally variable. When the invading population finally becomes extinct at a certain moment, the terminal size of the invaded range at that the moment is closely related to the nature of the spatial distribution of resource patches, which is explicitly demonstrated by our analysis. | |||||||||
| 言語 | en | |||||||||
| 出版者 | ||||||||||
| 出版者 | Springer Netherlands | |||||||||
| 日付 | ||||||||||
| 日付 | 2005-09 | |||||||||
| 日付タイプ | Created | |||||||||
| 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 | AO | |||||||||
| 出版タイプResource | http://purl.org/coar/version/c_b1a7d7d4d402bcce | |||||||||
| 関連情報 | ||||||||||
| 識別子タイプ | DOI | |||||||||
| 関連識別子 | 10.1007/s10530-005-5211-0 | |||||||||
| 関連情報 | ||||||||||
| 関連タイプ | isVersionOf | |||||||||
| 識別子タイプ | DOI | |||||||||
| 関連識別子 | http://dx.doi.org/10.1007/s10530-005-5211-0 | |||||||||
| 収録物識別子 | ||||||||||
| 収録物識別子タイプ | ISSN | |||||||||
| 収録物識別子 | 1387-3547 | |||||||||
| 収録物識別子 | ||||||||||
| 収録物識別子タイプ | NCID | |||||||||
| 収録物識別子 | AA11384974 | |||||||||
| 開始ページ | ||||||||||
| 開始ページ | 757 | |||||||||
| 書誌情報 |
Biological Invasions Biological Invasions 巻 7, 号 5, p. 757-770, 発行日 2005-09 |
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| 旧ID | 15352 | |||||||||
