肺结核随机SEIQR模型的稳定性  

Stability of a stochastic SEIQR epidemic model of TB

作　　者：王来全[1] 魏成花 李硕[3] WANG Laiquan;WEI Chenghua;LI Shuo(Department of Basic Courses,Changji Vocational and Technical College,Changji 831100,China;Industry Bureau,The Administrative Committee of Changji New and High-tech Industrial Development Zone,Changji 831100,China;Department of Mathematics,Changji University,Changji 830046,China)

机构地区：[1]昌吉职业技术学院基础部,新疆 昌吉 831100 [2]昌吉高新技术产业开发区管委会产业局,新疆 昌吉 831100 [3]昌吉学院数学系,新疆 昌吉 830046

出　　处：《山东理工大学学报（自然科学版）》2020年第6期25-30,共6页Journal of Shandong University of Technology:Natural Science Edition

基　　金：国家自然科学基金项目(11861063);昌吉州教研项目(ZS1906)。

摘　　要：考虑了具有非线性发生率的肺结核随机SEIQR模型,计算出基本再生数R0,得到随机模型正解的全局存在性及唯一性,在一定的噪声扰动条件下,应用微分算子和伊藤公式证明了无病平衡点的p-阶指数稳定。We considered a stochastic SEIQR epidemic model with nonlinear incidence rate of TB.We calculated the basic reproduction number R0 for the stochastic model and obtained the global existence and positivity of the unique solution.Under suitable conditions on the intensity of the noise perturbation,we proved the p-th exponential stablity of the disease free equilibrium by using the differential operator and It′s formula.

关 键 词：随机模型 非线性发生率 基本再生数 微分算子 伊藤公式 p-阶指数稳定 

分 类 号：O175.1[理学—数学]