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- W2054125664 abstract "Abstract We study an SIR model with a seasonal contact rate and a staged treatment strategy, which is an extension of our previous work [Z. Bai, Y. Zhou, Existence of two periodic solutions for a non-autonomous SIR epidemic model, Appl. Math. Model. 35 (2011) 382–391]. It is proved that the persistence and extinction of the disease are determined by the basic reproductive number ( R 0 ) and a threshold parameter ( R c ). It is obtained that the model exhibits two different bistable behaviors under certain conditions: the stable disease-free state coexists with a stable endemic periodic solution, and three endemic periodic solutions coexist with two of them being stable. Numerical simulations are presented to illustrate theoretical results." @default.
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- W2054125664 date "2011-07-01" @default.
- W2054125664 modified "2023-09-30" @default.
- W2054125664 title "Existence of multiple periodic solutions for an SIR model with seasonality" @default.
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- W2054125664 doi "https://doi.org/10.1016/j.na.2011.03.008" @default.
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