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| Field |
Value |
| Title: | Traveling waves for a diffusive SIR model with delay |
| Authors: | 符聖珍
Fu, Sheng-Chen |
| Contributors: | 應數系 |
| Keywords: | SIR model; Traveling wave; Time delay; Upper/lower solution; Schauder fixed point theorem |
| Date: | 2015-09 |
| Issue Date: | 2016-02-03 10:15:00 (UTC+8) |
| Abstract: | 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⁎. |
| Relation: | Journal of Mathematical Analysis and Applications,435(1),20-37 |
| Data Type: | article |
| DOI: | http://dx.doi.org/10.1016/j.jmaa.2015.09.069 |
| DCField |
Value |
Language |
| dc.contributor (Contributor) | 應數系 | |
| dc.creator (Authors) | 符聖珍 | zh_TW |
| dc.creator (Authors) | Fu, Sheng-Chen | |
| dc.date (Date) | 2015-09 | |
| dc.date.accessioned | 2016-02-03 10:15:00 (UTC+8) | - |
| dc.date.available | 2016-02-03 10:15:00 (UTC+8) | - |
| dc.date.issued (Issue Date) | 2016-02-03 10:15:00 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/81080 | - |
| dc.description.abstract (Abstract) | 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 (Relation) | Journal of Mathematical Analysis and Applications,435(1),20-37 | |
| dc.subject (Keywords) | SIR model; Traveling wave; Time delay; Upper/lower solution; Schauder fixed point theorem | |
| dc.title (Title) | Traveling waves for a diffusive SIR model with delay | |
| dc.type (Data Type) | article | |
| dc.identifier.doi (DOI) | 10.1016/j.jmaa.2015.09.069 | |
| dc.doi.uri | http://dx.doi.org/10.1016/j.jmaa.2015.09.069 | |
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