二阶随机扰动下HBV流行病模型全局正解的存在唯一性与平稳分布
Existence and uniqueness of the global positive solution and the stationary distribution of HBV epidemic model with second-order stochastic perturbation
周俊桦 1卢春 1刘洪辉1
作者信息
- 1. 青岛理工大学 理学院,青岛 266525
- 折叠
摘要
提出一个二阶随机扰动下的乙型肝炎病毒(HBV)感染模型,并在垂直传播比例μωνC不被认为是新感染的条件下研究了该模型的动力学行为.首先,证明了该随机模型全局正解的存在唯一性.其次,通过构造合适的Lyapunov函数,证明了在RS0>1 的情况下,该随机模型平稳分布的存在唯一性和遍历性,并且得到了一个当噪声等于 0 时与基本再生数R0 相等的随机临界值RS0.
Abstract
This study proposes a model of hepatitis B virus infection with second-order sto-chastic perturbation and analyzes the dynamic behavior of the model when the fraction of ver-tical transmission μωνC is not taken into account as a new infection.Firstly,the existence and uniqueness of a global positive solution to the stochastic model are verified.Secondly,by creating a suitable Lyapunov function,this study proves that if RS0>1,there exists an erg-odic stationary distribution of the stochastic HBV model,and a random critical value RS0 is derived that is equal to the basic reproduction number R0 when the noise is equal to zero.
关键词
乙型肝炎病毒模型/随机干扰/平稳分布Key words
HBV model/stochastic perturbation/stationary distribution引用本文复制引用
出版年
2024
NETL
NSTL
万方数据