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.

本文研究了具有一般非线性发生率和疫苗接种的随机SIRV流行病模型。我们研究的价值在于两个方面。在数学上，借助Lyapunov函数方法和随机分析理论，我们获得了该模型的随机阈值，该阈值完全确定了该流行病的灭绝和持续性。流行病学上，我们发现随机波动可以抑制疾病的爆发，这可以为我们提供一些有用的控制策略来调节疾病的动态。换句话说，忽略随机扰动会高估疾病传播的能力。数值模拟说明了主要的理论结果。