کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7375991 1480078 2018 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analysis of novel stochastic switched SILI epidemic models with continuous and impulsive control
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Analysis of novel stochastic switched SILI epidemic models with continuous and impulsive control
چکیده انگلیسی
In this paper, we establish two new stochastic switched epidemic models with continuous and impulsive control. The stochastic perturbations are considered for the natural death rate in each equation of the models. Firstly, a stochastic switched SILI model with continuous control schemes is investigated. By using Lyapunov-Razumikhin method, the sufficient conditions for extinction in mean are established. Our result shows that the disease could be die out theoretically if threshold value R is less than one, regardless of whether the disease-free solutions of the corresponding subsystems are stable or unstable. Then, a stochastic switched SILI model with continuous control schemes and pulse vaccination is studied. The threshold value R is derived. The global attractivity of the model is also obtained. At last, numerical simulations are carried out to support our results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 495, 1 April 2018, Pages 162-171
نویسندگان
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