Lévy噪声驱动的随机SIVRS传染病模型的动力学分析  

Dynamics Analysis of aStochastic SIVRS Infectious Disease Model Driven by Lévy Noise

作　　者：黄恬恬 胡华 HUANG Tian-tian;HU hua(School of Mathematics and Statistics,Ningxia University,Yinchuan 750021,China)

机构地区：[1]宁夏大学数学统计学院,宁夏银川750021

出　　处：《兰州文理学院学报(自然科学版)》2025年第2期1-7,共7页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：国家自然科学基金项目(12261068);宁夏回族自治区自然科学基金项目(2023AAC03088)。

摘　　要：考虑随机噪声对病毒耐药性变异的传染病传播的影响,建立了一类由Lévy噪声驱动的随机SIVRS传染病模型.利用停时理论证明了该模型全局正解的存在唯一性,然后通过构造Lyapunov函数并运用It?公式讨论了该随机模型的解在相应确定性模型的无病平衡点和地方病平衡点处的渐近性质.Considering the effect of random noise on the spread of infectious diseases with viral drug resistance variants,a class of stochastic SIVRS infectious disease models driven by Lévy noise is developed.The uniqueness of the existence of a global positiv e solution to the model is proved using stopping-time theory,then by constructing the Lyapunov function and applying the It formula,discuss the asymptotic properties of the solutions of this stochastic model at the disease-free equilibrium and the end emic equilibrium of the corresponding deterministic model.

关 键 词：Lévy噪声 随机SIVRS传染病模型 LYAPUNOV函数 It?公式 

分 类 号：O175.1[理学—数学] O211.63[理学—基础数学]