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A simple population theory for mutualism by the use of lattice gas model
http://hdl.handle.net/10297/5849
http://hdl.handle.net/10297/5849d8a4b5bf-0537-42da-bd4a-6b9486009127
名前 / ファイル | ライセンス | アクション |
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110822001.pdf (826.7 kB)
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Item type | 学術雑誌論文 / Journal Article_01(1) | |||||||||
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公開日 | 2011-08-22 | |||||||||
タイトル | ||||||||||
言語 | en | |||||||||
タイトル | A simple population theory for mutualism by the use of lattice gas model | |||||||||
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 | |||||||||
著者 |
Iwata, Shigehide
× Iwata, Shigehide× Kobayashi, Kazuyuki× Higa, Shinichiro× Yoshimura, Jin
WEKO
3165
× Tainaka, Kei-ichi
WEKO
3166
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書誌情報 |
Ecological Modelling 巻 222, 号 13, p. 2042-2048, 発行日 2011-07-10 |
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出版者 | ||||||||||
出版者 | Elsevier | |||||||||
権利情報 | ||||||||||
権利情報 | Copyright © 2011 Elsevier B.V. All rights reserved. | |||||||||
NDC | ||||||||||
主題Scheme | NDC | |||||||||
主題 | 461 | |||||||||
抄録 | ||||||||||
内容記述タイプ | Abstract | |||||||||
内容記述 | The population dynamics of species interactions provides valuable information for life sciences. Lotka–Volterra equations (LVEs) are known to be the most popular model, and they are mainly applied to the systems of predation and competition. However, LVEs often fail to catch the population dynamics of mutualism; the population sizes of species increase infinitely under certain condition (divergence problem). Furthermore, LVEs never predicts the Allee effect in the systems of obligate mutualism. Instead of LVEs, several models have been presented for mutualism; unfortunately, they are rather complicated. It is, therefore, necessary to introduce a simpler theory for mutualism. In the present paper, we apply the lattice gas model which corresponds to the mean-field theory of the usual lattice model. The derived equations are cubic and contain only essential features for mutualism. In the case of obligate mutualism, the dynamics exhibits the Allee effect, and it is almost the same as in the male–female systems. In our model, the population sizes never increase infinitely, because our model contains not only intra- but also interspecific competitions. If the density of one species increases disproportionately in respect of its mutual partners, then this might imply downward pressure on the population abundance of the mutual partner species and such feedback would eventually act as a controlling influence on the population abundance of either species. We discuss several assumptions in our model; in particular, if both species can occupy in each cell simultaneously, then the interspecific competition disappears. | |||||||||
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収録物識別子タイプ | ISSN | |||||||||
収録物識別子 | 03043800 | |||||||||
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収録物識別子タイプ | NCID | |||||||||
収録物識別子 | AA11525690 | |||||||||
出版者DOI | ||||||||||
関連タイプ | isVersionOf | |||||||||
識別子タイプ | DOI | |||||||||
関連識別子 | 10.1016/j.ecolmodel.2011.04.009 | |||||||||
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内容記述タイプ | Other | |||||||||
内容記述 | application/pdf | |||||||||
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出版タイプ | AM | |||||||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||||
出版者版 | ||||||||||
関連タイプ | isVersionOf | |||||||||
識別子タイプ | URI | |||||||||
関連識別子 | https://doi.org/10.1016/j.ecolmodel.2011.04.009 |