کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1703657 1519407 2014 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Threshold behaviour of a stochastic SIR model
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Threshold behaviour of a stochastic SIR model
چکیده انگلیسی

In this paper, we investigate the threshold behaviour of a susceptible-infected-recovered (SIR) epidemic model with stochastic perturbation. When the noise is small, we show that the threshold determines the extinction and persistence of the epidemic. Compared with the corresponding deterministic system, this value is affected by white noise, which is less than the basic reproduction number of the deterministic system. On the other hand, we obtain that the large noise will also suppress the epidemic to prevail, which never happens in the deterministic system. These results are illustrated by computer simulations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 38, Issues 21–22, 1 November 2014, Pages 5067–5079
نویسندگان
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