The Threshold of a Stochastic SIRS Model with Vertical Transmission and Saturated Incidence

被引：1
|
作者：
Zhu, Chunjuan [1 ]
Zeng, Guangzhao [1 ]
Sun, Yufeng [1 ]
机构：
[1] Shaoguan Univ, Sch Math & Stat, Shaoguan 512005, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2017年 / 2017卷
关键词：
EPIDEMIC MODEL; GLOBAL STABILITY; POPULATION; DYNAMICS; BEHAVIOR;
D O I：
10.1155/2017/5620301
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The threshold of a stochastic SIRS model with vertical transmission and saturated incidence is investigated. If the noise is small, it is shown that the threshold of the stochastic system determines the extinction and persistence of the epidemic. In addition, we find that if the noise is large, the epidemic still prevails. Finally, numerical simulations are given to illustrate the results.
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页数：9
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