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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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