摘要
建立了一类具有接种的阶段结构传染病模型,利用Hurwitz判据、Lasalle不变性原理和Bendixson-Dulac判别法,证明了疾病消除平衡点的全局稳定性和地方病平衡点的局部稳定性,以及在无因病死亡时,地方病平衡点的全局稳定性.
The paper deals with a stage-structured epidemic model with proportional vaccination.By virtue of Hurwitz criterion,the Lasalle invariant set principle and the Bendixson-Dulac criterion,the global stability of the disease free equilibrium and the local stability of the epidemic equilibrium,as well as in case that the death rate due to disease equals to zero are testified.The global stability of the epidemic equilibrium.
作者
程晓云
单文娟
张璟明
CHENG Xiaoyun;SHAN Wenjuan;ZHANG Jingming(School of Sciences,Xi’an Aeronautical University,Xi’an 710077,China)
出处
《许昌学院学报》
CAS
2021年第5期12-15,共4页
Journal of Xuchang University
基金
西安航空学院校级科研基金资助项目(2020KY0206)
西安航空学院博士科研启动基金资助项目。
关键词
传染病模型
平衡点
局部渐近稳定
全局渐近稳定
接种
epidemic model
equilibrium
local asymptotically stability
global asymptotically stability
vaccination
