Extinction and persistence of a stochastic SIRV epidemic model with nonlinear incidence rate

被引：23

作者：

Rifhat, Ramziya ^{[1
]}

Teng, Zhidong ^{[2
]}

Wang, Chunxia ^{[1
]}

机构：

[1] Xinjiang Med Univ, Coll Med Engn & Technol, Urumqi 830017, Peoples R China

[2] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

关键词：

Stochastic epidemic model; Threshold value; Extinction; Permanence in the mean; MATHEMATICAL-THEORY; THRESHOLD; DYNAMICS;

D O I：

10.1186/s13662-021-03347-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a stochastic SIRV epidemic model with general nonlinear incidence and vaccination is investigated. The value of our study lies in two aspects. Mathematically, with the help of Lyapunov function method and stochastic analysis theory, we obtain a stochastic threshold of the model that completely determines the extinction and persistence of the epidemic. Epidemiologically, we find that random fluctuations can suppress disease outbreak, which can provide us some useful control strategies to regulate disease dynamics. In other words, neglecting random perturbations overestimates the ability of the disease to spread. The numerical simulations are given to illustrate the main theoretical results.

引用

页数：21

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