School of Mathematics and Information Science, North Minzu University, YinChuan 750021, China.
Ningxia Key Laboratory of Intelligent Information and Big Data Processing Yinchuan, YinChuan 750021, China.
Math Biosci Eng. 2023 Jan;20(2):2980-2997. doi: 10.3934/mbe.2023141. Epub 2022 Dec 1.
This paper mainly studies the dynamical behavior of a stochastic COVID-19 model. First, the stochastic COVID-19 model is built based on random perturbations, secondary vaccination and bilinear incidence. Second, in the proposed model, we prove the existence and uniqueness of the global positive solution using random Lyapunov function theory, and the sufficient conditions for disease extinction are obtained. It is analyzed that secondary vaccination can effectively control the spread of COVID-19 and the intensity of the random disturbance can promote the extinction of the infected population. Finally, the theoretical results are verified by numerical simulations.
本文主要研究了随机 COVID-19 模型的动力学行为。首先，基于随机扰动、二次接种和双线性发生率构建了随机 COVID-19 模型。其次，在提出的模型中，我们使用随机 Lyapunov 函数理论证明了全局正解的存在唯一性，并得到了疾病灭绝的充分条件。分析表明，二次接种可以有效控制 COVID-19 的传播，随机干扰的强度可以促进感染人群的灭绝。最后，通过数值模拟验证了理论结果。
