A discrete prey-predator model preserving the dynamics of a structurally unstable Lotka-Volterra model
Journal of Difference Equations and Applications 13 巻 12 号
1155-1170 頁
2007-10 発行
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| ファイル情報(添付) | |
| タイトル ( eng ) |
A discrete prey-predator model preserving the dynamics of a structurally unstable Lotka-Volterra model
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| 作成者 | |
| 収録物名 |
Journal of Difference Equations and Applications
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| 巻 | 13 |
| 号 | 12 |
| 開始ページ | 1155 |
| 終了ページ | 1170 |
| 抄録 |
Leslie's method to construct a discrete two dimensional dynamical system dynamically consistent with the Lotka-Volterra type of competing two species ordinary differential equations is applied in a newly extended manner for the Lotka-Volterra prey-predator system which is structurally unstable. We show that, independently of the time step size, the derived discrete prey-predator system is dynamically consistent with the continuous counterpart, keeping the nature of neutrally stable periodic orbit. Further, we show that the extended method to construct the discrete prey-predator system can provide a dynamically consistent model also for the logistic Lotka-Volterra one.
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| 著者キーワード |
Lotka-Volterra system
prey-predator model
dynamically consistent
neutrally stable
population dynamics
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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 |
Taylor & Francis Ltd
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| 発行日 | 2007-10 |
| 権利情報 |
Copyright(c) 2007 Taylor & Francis Ltd
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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 |
| 収録物識別子 |
This is an electronic version of an article published in Journal of Difference Equations And Applications Vol.13 Issue 12 pp.1155-1170, 2007. Journal of Difference Equations And Applications is available online at : http://journalsonline.tandf.co.uk/ with the open URL of your article.
[ISSN] 1023-6198
[DOI] 10.1080/10236190701464996
[NCID] AA11085838
[DOI] http://dx.doi.org/10.1080/10236190701464996
～の異版である
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