The Dynamics of a Stochastic SEITR Model for Tuberculosis with Incomplete Treatment  

作　　者：Xiao-dong WANG Kai WANG 

机构地区：[1]Department of Medical Engineering and Technology,Xinjiang Medical University,Urumqi,Xinjiang 830017,China

出　　处：《Acta Mathematicae Applicatae Sinica》2025年第1期99-113,共15页应用数学学报(英文版)

基　　金：supported by Natural Science Foundation of Xinjiang Uygur Autonomous Region(NO.2022D01C700);The Youth science and technology innovation talent of Tianshan Talent Training Program in Xinjiang(Grant No.2022TSYCCX0099);The National Natural Science Foundation of China(Grant No.12461101).

摘　　要：In this paper,a stochastic SEITR model is formulated to describe the transmission dynamics of tuberculosis with incompletely treatment.Sufficient conditions for the existence of a stationary distribution and extinction are obtained.In addition,numerical simulations are given to illustrate these analytical results.Theoretical and numerical results show that large environmental perturbations can inhibit the spread of tuberculosis.

关 键 词：TUBERCULOSIS stationary distribution EXTINCTION 

分 类 号：O175[理学—数学] R521[理学—基础数学] R181.3[医药卫生—内科学]