具有垂直感染且带隔离项的SEIQR模型的稳定性分析  

Stability Analysis of SEIQR Model with Vertical Infection and Isolation Items

作　　者：刘雪 张睿[1] LIU Xue;ZHANG Rui(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,Gansu,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

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

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.

关 键 词：传染病 基本再生数 垂直感染 

分 类 号：O175.13[理学—数学]