| Title:
|
Existence of positive periodic solutions of an SEIR model with periodic coefficients (English) |
| Author:
|
Zhang, Tailei |
| Author:
|
Liu, Junli |
| Author:
|
Teng, Zhidong |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
57 |
| Issue:
|
6 |
| Year:
|
2012 |
| Pages:
|
601-616 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
An SEIR model with periodic coefficients in epidemiology is considered. The global existence of periodic solutions with strictly positive components for this model is established by using the method of coincidence degree. Furthermore, a sufficient condition for the global stability of this model is obtained. An example based on the transmission of respiratory syncytial virus (RSV) is included. (English) |
| Keyword:
|
epidemic model |
| Keyword:
|
Fredholm mapping |
| Keyword:
|
coincidence degree |
| MSC:
|
34C25 |
| MSC:
|
34C60 |
| MSC:
|
47N20 |
| MSC:
|
54H25 |
| MSC:
|
92D30 |
| idZBL:
|
Zbl 1274.34150 |
| idMR:
|
MR3010239 |
| DOI:
|
10.1007/s10492-012-0036-5 |
| . |
| Date available:
|
2012-11-10T20:42:29Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143005 |
| . |
| Reference:
|
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