| Traveling wave solutions for a discrete diffusive epidemic model | |
|---|---|
| 學年 | 104 | 
| 學期 | 1 | 
| 發表日期 | 2015-11-16 | 
| 作品名稱 | Traveling wave solutions for a discrete diffusive epidemic model | 
| 作品名稱(其他語言) | |
| 著者 | Sheng-Chen Fu; Jong-Shenq Guo; Chin-Chin Wu | 
| 作品所屬單位 | |
| 出版者 | |
| 會議名稱 | Meeting of the ANR NONLOCAL Research Group | 
| 會議地點 | INRA, Avignon, France | 
| 摘要 | We study the traveling wave solutions for a discrete diffusive epidemic model. The traveling wave is a mixed of front and pulse types. We derive the existence and non-existence of traveling wave solutions of this model. The proof of existence is based on constructing a suitable pair of upper and lower solutions and the application of Schauder’s fixed point theorem. By passing to the limit for a sequence of truncated problems, we are able to derive the existence of traveling waves by a delicate analysis of wave tails. Some open problems are also addressed. | 
| 關鍵字 | |
| 語言 | en | 
| 收錄於 | |
| 會議性質 | 國際 | 
| 校內研討會地點 | 無 | 
| 研討會時間 | 20151116~20151118 | 
| 通訊作者 | |
| 國別 | FRA | 
| 公開徵稿 | |
| 出版型式 | |
| 出處 | Journal of Nonlinear and Convex Analysis, to appear | 
| 相關連結 | 機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/110116 ) |