一类具有病毒变异的SEIR传染病模型的稳定性  

The Stability of a Class of SEIR Epidemic Model with Virus Mutate

作　　者：李冬梅[1] 李晨辰[1] 徐亚静[1] 

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》2014年第6期105-109,共5页Journal of Harbin University of Science and Technology

基　　金：黑龙江省教育厅科学技术研究项目(12521099)

摘　　要：考虑疾病在传播过程中病毒产生变异的影响,建立了具有病毒变异情况的SEIR传染病模型,借助Liapunov函数,分析了无病平衡点和地方病平衡点的全局稳定性.并通过数值模拟分析了模型中的参数对疾病传播的影响.In this paper, we consider the disease viruses mutate in the process of transmission, and the virus mutate situation of SEIR epidemic model is established. stability of equilibrium and the disease-free equilibrium. parameters for disease transmission of influence. With the help of function Liapunov, we analysise the global Numerical simulations are carried out to illustrate the main parameters for disease transmission of influence.

关 键 词：传染病模型 病毒变异 全局稳定性 

分 类 号：O175.1[理学—数学]