期刊論文
| 學年 | 100 |
|---|---|
| 學期 | 2 |
| 出版（發表）日期 | 2012-02-01 |
| 作品名稱 | Existence of traveling wave solutions for diffusive predator–prey type systems |
| 作品名稱（其他語言） | |
| 著者 | Hsu, Cheng-Hsiung; Yang, Chi-Ru; Yang, Ting-Hui; Yang, Tzi-Sheng |
| 單位 | 淡江大學數學學系 |
| 出版者 | Maryland Heights: Academic Press |
| 著錄名稱、卷期、頁數 | Journal of Differential Equations 252(4), pp.3040–3075 |
| 摘要 | In this work we investigate the existence of traveling wave solutions for a class of diffusive predator–prey type systems whose each nonlinear term can be separated as a product of suitable smooth functions satisfying some monotonic conditions. The profile equations for the above system can be reduced as a four-dimensional ODE system, and the traveling wave solutions which connect two different equilibria or the small amplitude traveling wave train solutions are equivalent to the heteroclinic orbits or small amplitude periodic solutions of the reduced system. Applying the methods of Wazewski Theorem, LaSalleʼs Invariance Principle and Hopf bifurcation theory, we obtain the existence results. Our results can apply to various kinds of ecological models. |
| 關鍵字 | Traveling wave; Predator–prey; Wazewski Theorem; LaSalleʼs Invariance Principle; Lyapunov function; Hopf bifurcation theory |
| 語言 | en |
| ISSN | 0022-0396 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | Yang, Tzi-Sheng |
| 審稿制度 | |
| 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/987654321/74812 ) |