Temporally interruptive interaction allows mutual invasion of two competing species dispersing in space
Mathematical Modelling of Natural Phenomena 2 巻 4 号
105-121 頁
2007 発行
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| ファイル情報(添付) | |
| タイトル ( eng ) |
Temporally interruptive interaction allows mutual invasion of two competing species dispersing in space
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| 作成者 | |
| 収録物名 |
Mathematical Modelling of Natural Phenomena
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| 巻 | 2 |
| 号 | 4 |
| 開始ページ | 105 |
| 終了ページ | 121 |
| 抄録 |
With a reaction-diffusion system, we consider the dispersing two-species Lotka-Volterra model with a temporally periodic interruption of the interspecific competitive relationship. We assume that the competition coefficient becomes a given positive constant and zero by turns periodically in time. We investigate the condition for the coexistence of two competing species in space, especially in the bistable case for the population dynamics without dispersion. We could find that the spatial coexistence, that is, the spatially mutual invasion of two competing species appears with two opposite-directed travelling waves if a condition for the temporal interruption of the interspecific relationship is satisfied. Further, we give a suggested mathematical expression of the velocity of travelling waves.
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| 著者キーワード |
population dynamics
reaction-diffusion
competition
coexistence
invasion
Lotka-Volterra system
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| NDC分類 |
生物科学・一般生物学 [ 460 ]
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| 言語 |
英語
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| 資源タイプ | 学術雑誌論文 |
| 出版者 |
EDP Sciences
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| 発行日 | 2007 |
| 権利情報 |
Copyright (c) 2007 EDP Sciences
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| 出版タイプ | Version of Record（出版社版。早期公開を含む） |
| アクセス権 | オープンアクセス |
| 収録物識別子 |
[DOI] 10.1051/mmnp:2008027
[DOI] http://dx.doi.org/10.1051/mmnp:2008027
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