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

Advances in Difference Equations

article

Rifhat, Ramziya¹  Teng, Zhidong²  Wang, Chunxia¹ 

[1] College of Medical Engineering and Technology, Xinjiang Medical University;College of Mathematics and Systems Science, Xinjiang University

关键词: Stochastic epidemic model;    Threshold value;    Extinction;    Permanence in the mean;   

DOI  :  10.1186/s13662-021-03347-3

学科分类：航空航天科学

来源: SpringerOpen

【 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.

【 授权许可】

CC BY