期刊論文
| 學年 | 114 |
|---|---|
| 學期 | 1 |
| 出版（發表）日期 | 2025-09-01 |
| 作品名稱 | Global dynamics of a one-predator-two-prey model and its traveling wave solutions |
| 作品名稱（其他語言） | |
| 著者 | Yung-Chih Yang; Jian-Jhong Lin; Ting-hui Yang |
| 單位 | |
| 出版者 | |
| 著錄名稱、卷期、頁數 | Mathematics in Applied Sciences and Engineering 6(3), p.238-256 |
| 摘要 | This work investigates the three species of one-predator-two-prey ecological models in Lotka-Volterra type functional response with or without diffusive terms. Without the diffusive effects and under two essential assumptions, we can generically classify all global dynamics completely. The global asymptotic stabilities of three equilibria are shown analytically in each case. Alternatively, with the diffusive term, we establish the existence of traveling wave solutions by the higher-dimensional shooting method, the Wazewski principle. In particular, there are two critical wave speeds $0<c_2<c_1$. We show the existence of traveling wave solutions with the wave speed $c$ if $c>c_1$ and the non-existence of traveling wave solutions if $0<c<c_2$. Finally, a brief discussion, biological interpretations, and numerical simulations are given. |
| 關鍵字 | Two-prey-one-predator models; global dynamics; traveling wave solutions; Wazewski principle |
| 語言 | en |
| ISSN | 2563-1926 |
| 期刊性質 | 國外 |
| 收錄於 | ESCI |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 否 |
| 國別 | CAN |
| 公開徵稿 | |
| 出版型式 | ,電子版 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/129435 ) |