The threshold of a stochastic delayed SIRS epidemic model with temporary immunity and vaccination

被引：38
作者：
Xu, Changyong [1 ]
Li, Xiaoyue [2 ]
机构：
[1] Shanghai Polytech Univ, Coll Arts & Sci, Shanghai 201209, Peoples R China
[2] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2018年 / 111卷
关键词：
Ito's formula; Lyapunov function; Extinction; Persistence; Threshold; GLOBAL STABILITY; NONLINEAR INCIDENCE; DYNAMICS; BEHAVIOR;
D O I：
10.1016/j.chaos.2017.12.027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A model of delayed stochastic SIRS type with temporary immunity and vaccination is investigated. The existence and uniqueness of the global positive solution of the model is proved. The threshold of the stochastic SIRS epidemic model is obtained. Compared with the corresponding deterministic model, the threshold affected by the white noise is smaller than the basic reproduction number R o of the deterministic system. The vaccination immunity period can also affect the threshold of stochastic and deterministic model. Numerical simulations are carried out to support our theoretical results. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：227 / 234
页数：8
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