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.
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Date: | 2013 |
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Main Author: | Katriel, G. |
Format: | Article |
Language: | English |
Published: |
Інститут математики НАН України
2013
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Series: | Нелінійні коливання |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/177126 |
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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. |
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