| Travelling wave solutions for Kolmogorov-type delayed lattice reaction–diffusion systems | |
|---|---|
| 學年 | 104 |
| 學期 | 1 |
| 出版（發表）日期 | 2015-10-01 |
| 作品名稱 | Travelling wave solutions for Kolmogorov-type delayed lattice reaction–diffusion systems |
| 作品名稱（其他語言） | |
| 著者 | Yang, Ting-Hui; Hsu, Cheng-Hsiung; Lin, Jian-Jhong |
| 單位 | 淡江大學數學學系 |
| 出版者 | Oxford: Oxford University Press |
| 著錄名稱、卷期、頁數 | IMA Journal of Applied Mathematics 80 (5), pp.1336-1367 |
| 摘要 | This work investigates the existence and non-existence of travelling wave solutions for Kolmogorov-type delayed lattice reaction–diffusion systems. Employing the cross iterative technique coupled with the explicit construction of upper and lower solutions in the theory of quasimonotone dynamical systems, we can find two threshold speeds c∗ and c∗ with c∗≥c∗>0. If the wave speed is greater than c∗, then we establish the existence of travelling wave solutions connecting two different equilibria. On the other hand, if the wave speed is smaller than c∗, we further prove the non-existence result of travelling wave solutions. Finally, several ecological examples including one-species, two-species and three-species models with various functional responses and time delays are presented to illustrate the analytical results. |
| 關鍵字 | travelling wave solutions;upper–lower solution;delayed lattice reaction–diffusion systems;Kolmogorov-type |
| 語言 | en |
| ISSN | 0272-4960 |
| 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 | GBR |
| 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/987654321/99560 ) |
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