流行病模型
遍历理论
李雅普诺夫函数
平稳分布
数学
消光(光学矿物学)
应用数学
随机建模
理论(学习稳定性)
随机过程
分布(数学)
统计物理学
数学优化
计算机科学
数学分析
物理
统计
马尔可夫链
人口
医学
非线性系统
光学
机器学习
环境卫生
量子力学
作者
Xueyong Zhou,Xiwen Gao,Xiangyun Shi
标识
DOI:10.1142/s1793524522500838
摘要
In this paper, the dynamical behavior of a stochastic SQEIAR epidemic model is investigated. First of all, we establish sufficient conditions for extinction of the diseases. Then the sufficient conditions for the existence of an ergodic stationary distribution of the positive solutions to the model are obtained by constructing a suitable stochastic Lyapunov function. The existence of stationary distribution implies stochastic weak stability. Furthermore, the optimal control problem is considered to provide a theoretical basis for the prevention and control of the disease. Finally, the theoretical results are verified by numerical simulations.
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