新疆乙肝传染病模型的动力学分析与模拟  

Dynamics Analysis and Simulation of a Hepatitis B Infectious Disease Model in Xinjiang

作　　者：王晓东 王众魁 王春霞 王凯[1] WANG Xiao-dong;WANG Zhong-kui;WANG Chun-xia;WANG Kai(Department of Medical Engineering and Technology,Xinjiang Medical University,Urumqi 830017,China;Tianshui Agricultural School,Tianshui 741400,China)

机构地区：[1]新疆医科大学医学工程技术学院,新疆乌鲁木齐830017 [2]天水农业学校,甘肃天水741400

出　　处：《数学的实践与认识》2023年第2期284-289,共6页Mathematics in Practice and Theory

基　　金：中国乙肝基金会(YGFK20200059)。

摘　　要：通过对乙肝传播机制的分析,利用动力学方法建立了一类具有媒介报道的乙肝传染病模型,得到了疾病传播的基本再生数R_(0),证明了当R_(0)<1时,模型存在全局渐近稳定性的无病平衡点,当R_(0)>1时,模型存在全局渐近稳定的地方病平衡点.最后结合已有数据进行了数值模拟,分析了新疆乙肝疾病的流行状况并给出了控制乙肝传播的可行性建议.Through analysis of the transmission mechanism of hepatitis B,a model of a class of infectious diseases with media coverage of hepatitis B was established using dynamical methods,and the basic reproductive number R_(0) of disease transmission was obtained.It was demonstrated that there is a global asymptotically stable disease-free equilibrium point E_(0) when R_(0)<1,and a global asymptotically stable endemic equilibrium point E_(1) when R_(0)>1.Finally,numerical simulations were carried out with the available data to analyse the epidemiological situation of hepatitis B disease in Xinjiang and to give feasible suggestions for controlling the transmission of hepatitis B.

关 键 词：媒介 乙肝传染病模型 基本再生数 

分 类 号：R512.62[医药卫生—内科学] O175[医药卫生—临床医学] R181.3[理学—数学]