本文選題：傳染率 + 基本再生數(shù)��； 參考：《蘭州大學(xué)學(xué)報(自然科學(xué)版)》2017年05期

【摘要】：研究了一類具有非線性飽和傳染率和時滯效應(yīng)的SEIR傳染病模型,給出了用于判斷疾病是否持續(xù)流行的基本再生數(shù)R_0.利用Lyapunov方法和LaSalle不變原理證明了當(dāng)R_0≤1時,無病平衡點全局漸近穩(wěn)定;當(dāng)R_01時,疾病平衡點全局穩(wěn)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，

本文編號：2000241