摘要
研究了一类含隔离者类且具有垂直感染的SEIQR传染病模型,得到了基本再生数。通过Lyapunov函数和LaSalle不变集原理证明了平衡点的全局渐近稳定性,最后运用数值模拟进一步说明了系统的稳定性态。
In this paper,a class of SEIQR epidemic model with an isolator class and vertical trans-mission is studied and the basic reproduction number is obtained.The global stability of the equilibrium point is also proved by means of the Lyapunov function method and the LaSalle’s invariance principle.Finally,numerical simulations are used to further validate the stability of the system as well.
作者
刘雪
张睿
LIU Xue;ZHANG Rui(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,Gansu,China)
出处
《咸阳师范学院学报》
2024年第4期10-16,共7页
Journal of Xianyang Normal University
关键词
传染病
基本再生数
垂直感染
infectious disease
basic reproduction number
vertical transmission
