• existence of multiple periodic solutions for an sir model with seasonality

    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1390/01/01
    • تاریخ انتشار در تی پی بین: 1390/01/01
    • تعداد بازدید: 651
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
    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 (r0) and a threshold parameter (rc). 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.

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