一类潜伏期和染病期均传染的SEIQR模型的全局稳定性  

Global Stability for the SEIQR Model with Infectious Force in Latent Period and Inflected Period

作　　者：宋燕[1] 刘薇[1] 周晶[1] 

机构地区：[1]渤海大学数理学院,辽宁锦州121000

出　　处：《数学的实践与认识》2015年第22期188-192,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金项目(61070242);辽宁省教育厅项目(L2012404)

摘　　要：研究一类潜伏期和染病期均传染的SEIQR传染病模型,得到疾病流行与否的阈值R_0.运用Lyapunov函数方法、LaSalle不变性原理及第二加性复合矩阵理论证明了当R_0≤1时无病平衡点全局渐近稳定,当R_0>1时地方病平衡点全局渐近稳定.An SEIQR epidemic model with infectious force in latent period and inflected period is studied in this paper,and the threshold of the disease popularity is obtained.By using Lyapunov function,LaSalle invariant principle,and the second additive compound matrix,it is proved that the disease-free equilibrium is global asymptotical stability when R0 ≤ 1 and the endemic equilibrium is global asymptotical stability when R0 ≥ 1.

关 键 词：SEIQR传染病模型 阈值 平衡点 全局渐近稳定性 

分 类 号：O175[理学—数学]