应用数学2023，Vol.36Issue(3)：684-693,10.
具有马尔科夫切换的SVIR传染病模型的动力学
Dynamics of an SVIR Epidemic Model with Markovian Switching
摘要
Abstract
We consider a stochastic SVIR epidemic model with Beddington-De Angelis infection rate under Markovian switching in this paper.Firstly,we derive the fitness of a unique global positive solution.Then,the sufficient condition Rs0＞1 for existence of stationary distribution is obtained by constructing the appropriate Lyapunov functions.Moreover,the sufficient conditions including Re0＜1 for the exponential extinction to the infected individuals are figured out.Consequently,some examples and illustrative simulations are carried out to verify the main theoretical results.关键词
传染病/疫苗/马尔科夫切换/绝灭性/平稳分布Key words
Epidemic model/Vaccination/Markovian switching/Extinction/Stationary distribution分类
数理科学引用本文复制引用
李丹,魏凤英..具有马尔科夫切换的SVIR传染病模型的动力学[J].应用数学,2023,36(3):684-693,10.基金项目
Supported by the National Natural Science Foundation of China(61911530398),Special Projects of the Central Government Guiding Local Science and Technology Development(2021L3018)and the Natural Science Foundation of Fujian Province of China(2021J01621) （61911530398）
