一类具有饱和传染率的时滞传染病模型的全局稳定性

发布时间：2018-06-09 15:36

  本文选题：传染率 + 基本再生数　； 参考：《兰州大学学报(自然科学版)》2017年05期

【摘要】：研究了一类具有非线性饱和传染率和时滞效应的SEIR传染病模型,给出了用于判断疾病是否持续流行的基本再生数R_0.利用Lyapunov方法和LaSalle不变原理证明了当R_0≤1时,无病平衡点全局渐近稳定;当R_01时,疾病平衡点全局稳定.
[Abstract]:In this paper, a class of SEIR infectious disease models with nonlinear saturation infection rate and time-delay effect is studied, and the basic regenerative number RW _ 0 is given to judge whether the disease is persistent or not. By using Lyapunov method and LaSalle invariant principle, it is proved that the disease-free equilibrium is globally asymptotically stable when R _ (0) 鈮，

本文编号：2000241