Threshold behaviour of a stochastic SIR model

被引：250

作者：

Ji, Chunyan ^{[1
]}

Jiang, Daqing ^{[2
,3
]}

机构：

[1] Changshu Inst Technol, Sch Math & Stat, Changshu 215500, Jiangsu, Peoples R China

[2] NE Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China

[3] China Univ Petr East China, Coll Sci, Qingdao 266580, Shandong, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2014年 / 38卷 / 21-22期

关键词：

Stochastic; Epidemic models; The basic reproduction number; Extinction; Persistence; EPIDEMIC MODEL; GLOBAL STABILITY; VACCINATION; INFECTION;

D O I：

10.1016/j.apm.2014.03.037

中图分类号：

T [工业技术];

学科分类号：

08 ;

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. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：5067 / 5079

页数：13

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