系統識別號 | U0002-1908202013350700 |
---|---|
DOI | 10.6846/TKU.2020.00541 |
論文名稱(中文) | 兩個獵物一個捕食者的全局動力學行為 |
論文名稱(英文) | Global Dynamics of Two-Preys-One-Predator models |
第三語言論文名稱 | |
校院名稱 | 淡江大學 |
系所名稱(中文) | 數學學系數學與數據科學碩士班 |
系所名稱(英文) | Master's Program, Department of Mathematics |
外國學位學校名稱 | |
外國學位學院名稱 | |
外國學位研究所名稱 | |
學年度 | 108 |
學期 | 2 |
出版年 | 109 |
研究生(中文) | 楊詠智 |
研究生(英文) | Yung-Chih Yang |
學號 | 606190063 |
學位類別 | 碩士 |
語言別 | 英文 |
第二語言別 | |
口試日期 | 2020-07-03 |
論文頁數 | 16頁 |
口試委員 |
指導教授
-
楊定揮(thyang@mail.tku.edu.tw)
委員 - 林建仲 委員 - 鄭凱仁 |
關鍵字(中) |
動力系統 生物數學 |
關鍵字(英) |
Dynamics system Mathematical Biology Two-Preys-one-Predator Double space |
第三語言關鍵字 | |
學科別分類 | |
中文摘要 |
我們考慮了三個物種的兩個獵物-一個捕食者-生態系統- Lotka-Volterra類型的醫療模型。 帶兩個必備 假設,我們將所有可能性按參數歸類為六種情況- 具有七個參數的空間。 三者的全局漸近穩定性 每種情況分別顯示出平衡。 最後,簡要討論並 給出了一些生物學解釋。 |
英文摘要 |
In this work, we consider the three species two-preys-one-predator ecolog-ical models with Lotka-Volterra type functional response. With two essential assumptions, we generic classify all possibilities into six cases for the parame-ter space with seven parameters. The global asymptotically stabilities of three equilibria are showed in each case, respectively. Finally, a brief discussion and some biological interpretations are given. |
第三語言摘要 | |
論文目次 |
1 Introduction 4 2 Preliminary 5 3 Dynamics of (1.1) in the R3+ 8 4 Discussions and Biological Interpretations 15 5 Reference 16 |
參考文獻 |
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