期刊論文
| 學年 | 103 |
|---|---|
| 學期 | 2 |
| 出版（發表）日期 | 2015-06-01 |
| 作品名稱 | Global Dynamics and Traveling Wave Solutions of Two Predators-One Prey Models |
| 作品名稱（其他語言） | |
| 著者 | Lin, Jian-Jhong; Wang, Weiming; Yang, Ting-Hui; Zhao, Caidi |
| 單位 | 淡江大學數學學系 |
| 出版者 | |
| 著錄名稱、卷期、頁數 | Discrete and Continuous Dynamical Systems-Series B 20(4), pp.1135–1154 |
| 摘要 | In this work, we consider an ecological system of three species with two predators-one prey type without or with diffusion. For the system without diffusion, i.e. a system of three ODEs, we clarify global dynamics of all equilibria and find an exact condition to guarantee the existence and global asymptotic stability of the positive equilibrium. However, when the corresponding condition does not hold, the prey becomes extinct due to the over exploitation. On the other hand, for the system with diffusion, using the cross iteration method we find the minimum speed c∗. The existence of traveling wave front connecting the trivial solution and the coexistence state with some sufficient conditions is verified if the wave speed is large than c∗ and we also prove the nonexistence of such solutions if the wave speed is less than c∗. Finally, numerical simulations of system without or with diffusion are implemented and biological meanings are discussed. |
| 關鍵字 | Two predators-one prey system;extinction;coexistence;global stability;traveling wave solutions;upper-lower solutions |
| 語言 | en_US |
| ISSN | 1531-3492 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | 楊定揮 |
| 審稿制度 | 是 |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | ,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/99562 ) |