THE DYNAMIC BEHAVIOR OF DETERMINISTIC AND STOCHASTIC DELAYED SIQS MODEL

被引：16
|
作者：
Zhang, Xiaobing [1 ,2 ]
Huo, Haifeng [1 ,2 ]
Xiang, Hong [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：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2018年 / 8卷 / 04期
基金：
中国国家自然科学基金; 美国国家科学基金会;
关键词：
Random perturbations; Ito's formula; the threshold; time delay; SIRS EPIDEMIC MODEL; STATIONARY DISTRIBUTION; QUARANTINE; STABILITY; THRESHOLD; EXTINCTION; OUTBREAK; SEIR;
D O I：
10.11948/2018.1061
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present the deterministic and stochastic delayed SIQS epidemic models. For the deterministic model, the basic reproductive number R-0 is given. Moreover, when R-0 < 1, the disease-free equilibrium is globally asymptotical stable. When R-0 > 1 and additional conditions hold, the endemic equilibrium is globally asymptotical stable. For the stochastic A model, a sharp threshold (R) over cap (0) which determines the extinction or persistence in the mean of the disease is presented. Sufficient conditions for extinction and persistence in the mean of the epidemic are established. Numerical simulations are also conducted in the analytic results.
引用
收藏
页码：1061 / 1084
页数：24
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