数学
独特性
流行病模型
指数稳定性
应用数学
李雅普诺夫函数
理论(学习稳定性)
消光(光学矿物学)
环境噪声
数理经济学
数学优化
数学分析
计算机科学
人口
非线性系统
古生物学
物理
人口学
量子力学
机器学习
地貌学
社会学
地质学
生物
声音(地理)
作者
Hongjie Fan,Kai Wang,Yanling Zhu
标识
DOI:10.1016/j.aml.2023.108604
摘要
In this paper, we investigate the SEQIR epidemic model with governmental measures that include vaccine subsidy, complete or semi-lockdown, etc. We first obtain the globally asymptotic stability of the disease-free equilibrium and the endemic equilibrium of the deterministic model, respectively. Then we propose the stochastic model and prove the existence and uniqueness of the positive solution to it. Further, by constructing suitable Lyapunov functions we obtain the condition for the extinction of diseases, which implies that the large noise can make the disease die out exponentially. Moreover, the asymptotic properties of the solution to the stochastic model is obtained. Finally, we carry out numerical simulations to verify our results.
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