کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840875 908493 2011 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence of multiple periodic solutions for an SIR model with seasonality
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Existence of multiple periodic solutions for an SIR model with seasonality
چکیده انگلیسی

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 (R0R0) and a threshold parameter (RcRc). 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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 11, July 2011, Pages 3548–3555
نویسندگان
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