| dc.contributor | 應數系 | |
| dc.creator (作者) | Fu, Sheng-Chen | |
| dc.creator (作者) | 符聖珍 | zh_TW |
| dc.date (日期) | 2016-03 | |
| dc.date.accessioned | 15-Jan-2016 14:22:07 (UTC+8) | - |
| dc.date.available | 15-Jan-2016 14:22:07 (UTC+8) | - |
| dc.date.issued (上傳時間) | 15-Jan-2016 14:22:07 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/80597 | - |
| dc.description.abstract (摘要) | In this paper, we study traveling waves connecting the infection-free equilibrium state and the endemic equilibrium state for a diffusive SIR model with delay and saturated incidence rate. Since this system does not enjoy the comparison principle, we will use an iteration process to construct a pair of upper and lower solutions. With the aid of the pair of upper and lower solutions, we can apply the Schauder fixed point theorem to construct a family of solutions of the truncated problems, which, via the limiting argument, can generate the traveling wave. Indeed, we show that there exists c ⁎ > 0 such that this system admits a traveling wave solution with speed c iff c ≥ c ⁎ . | |
| dc.format.extent | 401664 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.relation (關聯) | Journal of Mathematical Analysis & Applications, 435(1), 20-37 | |
| dc.subject (關鍵詞) | SIR model; Traveling wave; Time delay; Upper/lower solution; Schauder fixed point theorem | |
| dc.title (題名) | Traveling waves for a diffusive SIR model with delay | |
| dc.type (資料類型) | article | |
| dc.identifier.doi (DOI) | 10.1016/j.jmaa.2015.09.069 | |
| dc.doi.uri (DOI) | http://dx.doi.org/10.1016/j.jmaa.2015.09.069 | |
