Existence of periodic solutions for the periodically forced SIR model
We prove that the seasonally-forced SIR model with a T-periodic forcing has a periodic solution with period T whenever the basic reproductive number R₀ > 1. The proof uses Leray – Schauder degree theory.
Saved in:
| Date: | 2013 |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2013
|
| Series: | Нелінійні коливання |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/177126 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Existence of periodic solutions for the periodically forced SIR model / G. Katriel // Нелінійні коливання. — 2013. — Т. 16, № 3. — С. 359-366. — Бібліогр.: 19 назв. — англ. |