کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7376284 1480081 2018 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The global dynamics for a stochastic SIS epidemic model with isolation
ترجمه فارسی عنوان
پویایی جهانی برای یک مدل اپیدمی همهجانبه تصادفی با انزوا
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
چکیده انگلیسی
In this paper, we investigate the dynamical behavior for a stochastic SIS epidemic model with isolation which is as an important strategy for the elimination of infectious diseases. It is assumed that the stochastic effects manifest themselves mainly as fluctuation in the transmission coefficient, the death rate and the proportional coefficient of the isolation of infective. It is shown that the extinction and persistence in the mean of the model are determined by a threshold value R0S. That is, if R0S<1, then disease dies out with probability one, and if R0S>1, then the disease is stochastic persistent in the means with probability one. Furthermore, the existence of a unique stationary distribution is discussed, and the sufficient conditions are established by using the Lyapunov function method. Finally, some numerical examples are carried out to confirm the analytical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 492, 15 February 2018, Pages 1604-1624
نویسندگان
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