Threshold behaviour of a stochastic SIR model

Chunyan Ji; Daqing Jiang

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Threshold behaviour of a stochastic SIR model

机译：随机SIR模型的阈值行为

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摘要

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.

机译：在本文中，我们研究了具有随机扰动的易感感染恢复（SIR）流行病模型的阈值行为。当噪音很小时，我们表明阈值决定了流行病的灭绝和持续性。与相应的确定性系统相比，该值受白噪声的影响，白噪声小于确定性系统的基本再现次数。另一方面，我们得出的结论是，大的噪音也会抑制流行病的流行，这在确定性系统中从未发生过。这些结果通过计算机模拟得到说明。

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来源
《Applied Mathematical Modelling》 |2014年第22期|5067-5079|共13页
作者
Chunyan Ji; Daqing Jiang;
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作者单位

School of Mathematics and Statistics, Changshu Institute of Technology, Changshu 215500, Jiangsu, PR China,College of Science, China University of Petroleum (East China), Qingdao 266580, Shandong, PR China;

School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, Jilin, PR China,College of Science, China University of Petroleum (East China), Qingdao 266580, Shandong, PR China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Stochastic; Epidemic models; The basic reproduction number; Extinction; Persistence;

机译：随机;流行病模型;基本复制编号;灭绝;坚持不懈;

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专利

1. Threshold Behavior in a Class of Stochastic SIRS Epidemic Models With Nonlinear Incidence [J] . Tang Tingting, Teng Zhidong, Li Zhiming Stochastic Analysis and Applications . 2015,第6期

机译：一类具有非线性发生率的随机SIRS流行病模型的阈值行为
2. ON THE THRESHOLD DYNAMICS OF THE STOCHASTIC SIRS EPIDEMIC MODEL USING ADEQUATE STOPPING TIMES [J] . ADEL SETTATI, AADIL LAHROUZ, MUSTAPHA EL JARROUDI, Discrete and continuous dynamical systems . 2020,第5期

机译：关于随机停止时间的随机SIRS流行模式的阈值动态
3. Stationary distribution and threshold dynamics of a stochastic SIRS model with a general incidence [J] . El Fatini Mohamed, El Khalifi Mohamed, Gerlach Richard, Physica, A. Statistical mechanics and its applications . 2019,第期

机译：一般发病率随机SIRS模型的静止分布和阈值动态
4. Dynamics of Stochastic SIRS Model [C] . R. Rajaji International Conference on Advances in Mathematical Sciences . 2018

机译：随机SIRS模型的动态
5. STOCHASTIC THRESHOLD MODELING FOR LINEAR AND NONLINEAR SYSTEM MONITORING AND DIAGNOSIS (DYNAMIC DATA, NONPARAMETRIC, PARAMETRIC ON-LINE ADAPTIVE MODELING, ARMA). [D] . HSIEH, SU-HUA. 1985

机译：用于线性和非线性系统监测和诊断的随机阈值建模（动态数据，非参数，参数在线自适应建模，ARMA）。
6. Threshold Dynamics in Stochastic SIRS Epidemic Models with Nonlinear Incidence and Vaccination [O] . Lei Wang, Zhidong Teng, Tingting Tang, 2017

机译：具有非线性发病率和疫苗接种的随机SIRS流行模型中的阈值动力学
7. The threshold of a stochastic SIRS epidemic model in a population with varying size [O] . Zhao, Yanan, Jiang, Daqing, Mao, Xuerong, 2015

机译：大小不同的人群中随机SIRS流行模型的阈值

Threshold behaviour of a stochastic SIR model

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