کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10140499 | 1646027 | 2019 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Persistence and extinction for an age-structured stochastic SVIR epidemic model with generalized nonlinear incidence rate
ترجمه فارسی عنوان
تداوم و انقراض برای یک مدل اپیدمی تصادفی ساختاری تصادفی مبتنی بر سن با میزان بروز غیرالکلی تعمیم یافته
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
چکیده انگلیسی
We formulate an epidemic model with age of vaccination and generalized nonlinear incidence rate, where the total population consists of the susceptible, the vaccinated, the infected and the removed. We then reach a stochastic SVIR model when the fluctuation is introduced into the transmission rate. By using Itô's formula and Lyapunov methods, we first show that the stochastic epidemic model admits a unique global positive solution with the positive initial value. We then obtain the sufficient conditions of the stochastic epidemic model. Moreover, the threshold tells the disease spreads or not is derived. If the intensity of the white noise is small enough and RË0<1, then the disease eventually becomes extinct with negative exponential rate. If RË0>1, then the disease is weakly permanent. The persistence in the mean of the infected is also obtained when the indicator RË0>1, which means the disease will prevail in a long run. As a consequence, several illustrative examples are separately carried out with numerical simulations to support the main results of this paper.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 513, 1 January 2019, Pages 572-587
Journal: Physica A: Statistical Mechanics and its Applications - Volume 513, 1 January 2019, Pages 572-587
نویسندگان
Ruoxin Lu, Fengying Wei,