| Traveling wave solutions for a predator-prey system with two predators and one prey | |
|---|---|
| 學年 | 109 |
| 學期 | 1 |
| 出版（發表）日期 | 2020-08-01 |
| 作品名稱 | Traveling wave solutions for a predator-prey system with two predators and one prey |
| 作品名稱（其他語言） | |
| 著者 | Jong-Shenq Guo; Ken-Ichi Nakamura; Toshiko Ogiwara; Chin-Chin Wu |
| 單位 | |
| 出版者 | |
| 著錄名稱、卷期、頁數 | Nonlinear Analysis: Real World Applications 54, 103111 |
| 摘要 | We study a predator–prey model with two alien predators and one aborigine prey in which the net growth rates of both predators are negative. We characterize the invading speed of these two predators by the minimal wave speed of traveling wave solutions connecting the predator-free state to the co-existence state. The proof of the existence of traveling waves is based on a standard method by constructing (generalized) upper-lower-solutions with the help of Schauder's fixed point theorem. However, in this three species model, we are able to construct some suitable pairs of upper-lower-solutions not only for the super-critical speeds but also for the critical speed. Moreover, a new form of shrinking rectangles is introduced to derive the right-hand tail limit of wave profile. |
| 關鍵字 | Predator–prey model;Traveling wave;Wave speed;Wave profile;Upper-lower-solution |
| 語言 | en |
| ISSN | 1878-5719 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 是 |
| 國別 | GBR |
| 公開徵稿 | |
| 出版型式 | ,電子版,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/119166 ) |
| SDGS | 水下生命,陸域生命 |
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