Group size determined by fusion and fission: A mathematical modelling with inclusive fitness
Journal of Mathematical Biology 52 巻 1 号
70-92 頁
2006 発行
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| ファイル情報(添付) | |
| タイトル ( eng ) |
Group size determined by fusion and fission: A mathematical modelling with inclusive fitness
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| 作成者 | |
| 収録物名 |
Journal of Mathematical Biology
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| 巻 | 52 |
| 号 | 1 |
| 開始ページ | 70 |
| 終了ページ | 92 |
| 抄録 |
We consider a mathematical model for the group size determination by the intra-reactions, self-growth, ostracism and fission within a group, and by the inter-reactions, immigration and fusion between two groups. In some group reactions, a conflict between two groups occurs about the reaction to change the group size. We construct a mathematical model to consider such conflict, taking into account the inclusive fitness of members in each group. In the conflict about the fusion between two groups, our analysis shows that the smaller group wants to fuse, while the larger does not. Also the criterion to resolve the conflict is discussed, and some numerical examples are given, too. It is concluded that, depending on the deviation in the total cost paid for the conflict by counterparts, the group reactions could result in a terminal group size different from that reached only by a sequence of outsider's immigrations into a group.
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| 著者キーワード |
Conflict resolution
Fission
Fusion
Group size
Inclusive fitness
Optimal choice
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| NDC分類 |
数学 [ 410 ]
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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 |
Springer-Verlag
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| 発行日 | 2006 |
| 権利情報 |
Copyright (c) 2006 Springer-Verlag "The original publication is available at www.springerlink.com"
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| 出版タイプ | Author’s Original（十分な品質であるとして、著者から正式な査読に提出される版） |
| アクセス権 | オープンアクセス |
| 日付 |
[作成日] 2006-01
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| 収録物識別子 |
[DOI] 10.1007/s00285-005-0341-7
[ISSN] 0303-6812
[NCID] AA00701736
[DOI] http://dx.doi.org/10.1007/s00285-005-0341-7
～の異版である
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