The threshold of a stochastic SIQS epidemic model

被引：43
|
作者：
Zhang, Xiao-Bing [1 ,2 ]
Huo, Hai-Feng [1 ,2 ]
Xiang, Hong [2 ]
Shi, Qihong [2 ]
Li, Dungang [2 ]
机构：
[1] Lanzhou Univ Technol, Coll Elect & Informat Engn, Lanzhou 730050, Gansu, Peoples R China
[2] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2017年 / 482卷
关键词：
Random perturbations; Ito's formula; The threshold; SIQS; STATIONARY DISTRIBUTION; STABILITY; SIR; EXTINCTION; PERSISTENCE; SYSTEM; SEIR;
D O I：
10.1016/j.physa.2017.04.100
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we present the threshold of a stochastic SIQS epidemic model which determines the extinction and persistence of the disease. Furthermore, we find that noise can suppress the disease outbreak. Numerical simulations are also carried out to confirm the analytical results. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：362 / 374
页数：13
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